Document Search Results

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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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form-control" type="text" name="q" value="rf:5130358" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>  </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>  </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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<a href="/authors/nguyen.son-luu" title="Author Profile">Nguyen, Son Luu</a>; <a href="/authors/yin.george-gang" title="Author Profile">Yin, George</a></div> <h3 class="title"> <a href="/8022165"><strong>Closed-loop equilibria for mean-field games in randomly switching environments with general discounting costs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8022165">Zbl 08022165</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A525519" title="Articles in this Issue">63, No. 2, 966-992 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60H10" title="Stochastic ordinary differential equations (aspects of stochastic analysis)">60H10</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93E03" title="Stochastic systems in control theory (general)">93E03</a> <a class="mono" href="/classification/?q=cc%3A34K50" title="Stochastic functional-differential equations">34K50</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08022165" data-ciurl="/ci/08022165" data-biburl="/bibtex/08022165.bib" data-amsurl="/amsrefs/08022165.bib" data-xmlurl="/xml/08022165.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08022165.pdf" title="Zbl 08022165 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/24M1642858" aria-label="DOI for “Closed-loop equilibria for mean-field games in randomly switching environments with general discounting costs”" title="10.1137/24M1642858">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2403.00227"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8018073" value="8018073" aria-label="mark item Zbl 08018073"></div> <div class="author"><a href="/authors/tangpi.ludovic" title="Author Profile">Tangpi, Ludovic</a>; <a href="/authors/wang.shichun" title="Author Profile">Wang, Shichun</a></div> <h3 class="title"> <a href="/8018073"><strong>Optimal bubble riding: a mean field game with varying entry times.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8018073">Zbl 08018073</a> </h3> <div class="source"> <a href="/serials/2245" title="Journal Profile">Finance Stoch.</a> <a href="/?q=in%3A526910" title="Articles in this Issue">29, No. 2, 343-398 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91Gxx" title="Actuarial science and mathematical finance">91Gxx</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A49J55" title="Existence of optimal solutions to problems involving randomness">49J55</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08018073" data-ciurl="/ci/08018073" data-biburl="/bibtex/08018073.bib" data-amsurl="/amsrefs/08018073.bib" data-xmlurl="/xml/08018073.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08018073.pdf" title="Zbl 08018073 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00780-025-00559-3" aria-label="DOI for “Optimal bubble riding: a mean field game with varying entry times”" title="10.1007/s00780-025-00559-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2209.04001"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8017139" value="8017139" aria-label="mark item Zbl 08017139"></div> <div class="author"><a href="/authors/ren.kui" title="Author Profile">Ren, Kui</a>; <a href="/authors/soedjak.nathan" title="Author Profile">Soedjak, Nathan</a>; <a href="/authors/wang.kewei" title="Author Profile">Wang, Kewei</a></div> <h3 class="title"> <a href="/8017139"><strong>Unique determination of cost functions in a multipopulation mean field game model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8017139">Zbl 08017139</a> </h3> <div class="source"> <a href="/serials/484" title="Journal Profile">J. Differ. Equations</a> <a href="/?q=in%3A526384" title="Articles in this Issue">427, 843-867 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08017139" data-ciurl="/ci/08017139" data-biburl="/bibtex/08017139.bib" data-amsurl="/amsrefs/08017139.bib" data-xmlurl="/xml/08017139.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08017139.pdf" title="Zbl 08017139 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jde.2025.02.037" aria-label="DOI for “Unique determination of cost functions in a multipopulation mean field game model”" title="10.1016/j.jde.2025.02.037">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2312.01622"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8015555" value="8015555" aria-label="mark item Zbl 08015555"></div> <div class="author"><a href="/authors/ocello.antonio" title="Author Profile">Ocello, Antonio</a></div> <h3 class="title"> <a href="/8015555"><strong>Controlled superprocesses and HJB equation in the space of finite measures.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8015555">Zbl 08015555</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. 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(2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60J60" title="Diffusion processes">60J60</a> <a class="mono" href="/classification/?q=cc%3A60J80" title="Branching processes (Galton-Watson, birth-and-death, etc.)">60J80</a> <a class="mono" href="/classification/?q=cc%3A49L12" title="Hamilton-Jacobi equations in optimal control and differential games">49L12</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A49L20" title="Dynamic programming in optimal control and differential games">49L20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08015555" data-ciurl="/ci/08015555" data-biburl="/bibtex/08015555.bib" data-amsurl="/amsrefs/08015555.bib" data-xmlurl="/xml/08015555.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08015555.pdf" title="Zbl 08015555 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmaa.2025.129298" aria-label="DOI for “Controlled superprocesses and HJB equation in the space of finite measures”" title="10.1016/j.jmaa.2025.129298">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2306.15962"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8006014" value="8006014" aria-label="mark item Zbl 08006014"></div> <div class="author"><a href="/authors/?q=ai%3Ajameson-graber.p%7Cgraber.philip-jameson" title="Author Profile">Graber, P. Jameson</a></div> <h3 class="title"> <a href="/8006014"><strong>Remarks on potential mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8006014">Zbl 08006014</a> </h3> <div class="source"> <a href="/serials/8474" title="Journal Profile">Res. Math. Sci.</a> <a href="/?q=in%3A522214" title="Articles in this Issue">12, No. 1, Paper No. 13, 29 p. (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49M41" title="PDE constrained optimization (numerical aspects)">49M41</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08006014" data-ciurl="/ci/08006014" data-biburl="/bibtex/08006014.bib" data-amsurl="/amsrefs/08006014.bib" data-xmlurl="/xml/08006014.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08006014.pdf" title="Zbl 08006014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40687-024-00494-3" aria-label="DOI for “Remarks on potential mean field games”" title="10.1007/s40687-024-00494-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2405.15921"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7980669" value="7980669" aria-label="mark item Zbl 07980669"></div> <div class="author"><a href="/authors/berry.jules" title="Author Profile">Berry, Jules</a>; <a href="/authors/ley.olivier" title="Author Profile">Ley, Olivier</a>; <a href="/authors/?q=ai%3Asilva.francisco-j%7Csilva.francisco-jose" title="Author Profile">Silva, Francisco J.</a></div> <h3 class="title"> <a href="/7980669"><strong>Approximation and perturbations of stable solutions to a stationary mean field game system.</strong></a> <i>(English. French summary)</i> <a class="label nowrap" href="/7980669">Zbl 07980669</a> </h3> <div class="source"> <a href="/serials/1597" title="Journal Profile">J. Math. Pures Appl. (9)</a> <a href="/?q=in%3A523491" title="Articles in this Issue">194, Article ID 103666, 28 p. (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J47" title="Second-order elliptic systems">35J47</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07980669" data-ciurl="/ci/07980669" data-biburl="/bibtex/07980669.bib" data-amsurl="/amsrefs/07980669.bib" data-xmlurl="/xml/07980669.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07980669.pdf" title="Zbl 07980669 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.matpur.2025.103666" aria-label="DOI for “Approximation and perturbations of stable solutions to a stationary mean field game system”" title="10.1016/j.matpur.2025.103666">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2402.16377"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7978622" value="7978622" aria-label="mark item Zbl 07978622"></div> <div class="author"><a href="/authors/ding.minghui" title="Author Profile">Ding, Ming-Hui</a>; <a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a>; <a href="/authors/zheng.guanghui" title="Author Profile">Zheng, Guang-Hui</a></div> <h3 class="title"> <a href="/7978622"><strong>Determining a stationary mean field game system from full/partial boundary measurement.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7978622">Zbl 07978622</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A522436" title="Articles in this Issue">57, No. 1, 661-681 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35J60" title="Nonlinear elliptic equations">35J60</a> <a class="mono" href="/classification/?q=cc%3A49N45" title="Inverse problems in optimal control">49N45</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07978622" data-ciurl="/ci/07978622" data-biburl="/bibtex/07978622.bib" data-amsurl="/amsrefs/07978622.bib" data-xmlurl="/xml/07978622.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07978622.pdf" title="Zbl 07978622 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1594327" aria-label="DOI for “Determining a stationary mean field game system from full/partial boundary measurement”" title="10.1137/23M1594327">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2308.06688"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7978171" value="7978171" aria-label="mark item Zbl 07978171"></div> <div class="author"><a href="/authors/osborne.yohance-a-p" title="Author Profile">Osborne, Yohance A. P.</a>; <a href="/authors/smears.iain" title="Author Profile">Smears, Iain</a></div> <h3 class="title"> <a href="/7978171"><strong>Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7978171">Zbl 07978171</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. Math.</a> <a href="/?q=in%3A523329" title="Articles in this Issue">157, No. 1, 165-211 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65M06" title="Finite difference methods for initial value and initial-boundary value problems involving PDEs">65M06</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91-08" title="Computational methods for problems pertaining to game theory, economics, and finance">91-08</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A49J55" title="Existence of optimal solutions to problems involving randomness">49J55</a> <a class="mono" href="/classification/?q=cc%3A35D30" title="Weak solutions to PDEs">35D30</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07978171" data-ciurl="/ci/07978171" data-biburl="/bibtex/07978171.bib" data-amsurl="/amsrefs/07978171.bib" data-xmlurl="/xml/07978171.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07978171.pdf" title="Zbl 07978171 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00211-024-01447-2" aria-label="DOI for “Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians”" title="10.1007/s00211-024-01447-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2306.13174"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7976228" value="7976228" aria-label="mark item Zbl 07976228"></div> <div class="author"><a href="/authors/bocchi.gabriele" title="Author Profile">Bocchi, Gabriele</a>; <a href="/authors/porretta.alessio" title="Author Profile">Porretta, Alessio</a></div> <h3 class="title"> <a href="/7976228"><strong>Entropy-minimizing dynamical transport on Riemannian manifolds.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7976228">Zbl 07976228</a> </h3> <div class="source"> <a href="/serials/1897" title="Journal Profile">Calc. Var. Partial Differ. Equ.</a> <a href="/?q=in%3A522078" title="Articles in this Issue">64, No. 2, Paper No. 65, 47 p. (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35F20" title="Nonlinear first-order PDEs">35F20</a> <a class="mono" href="/classification/?q=cc%3A35Q49" title="Transport equations">35Q49</a> <a class="mono" href="/classification/?q=cc%3A49J20" title="Existence theories for optimal control problems involving partial differential equations">49J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07976228" data-ciurl="/ci/07976228" data-biburl="/bibtex/07976228.bib" data-amsurl="/amsrefs/07976228.bib" data-xmlurl="/xml/07976228.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07976228.pdf" title="Zbl 07976228 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00526-024-02920-4" aria-label="DOI for “Entropy-minimizing dynamical transport on Riemannian manifolds”" title="10.1007/s00526-024-02920-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2401.01953"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7974589" value="7974589" aria-label="mark item Zbl 07974589"></div> <div class="author"><a href="/authors/delarue.francois" title="Author Profile">Delarue, François</a>; <a href="/authors/martini.mattia" title="Author Profile">Martini, Mattia</a></div> <h3 class="title"> <a href="/7974589"><strong>Fourier Galerkin approximation of mean field control problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7974589">Zbl 07974589</a> </h3> <div class="source"> <a href="/serials/2071" title="Journal Profile">NoDEA, Nonlinear Differ. Equ. Appl.</a> <a href="/?q=in%3A521139" title="Articles in this Issue">32, No. 1, Paper No. 11, 71 p. (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49L12" title="Hamilton-Jacobi equations in optimal control and differential games">49L12</a> <a class="mono" href="/classification/?q=cc%3A35Q93" title="PDEs in connection with control and optimization">35Q93</a> <a class="mono" href="/classification/?q=cc%3A42B05" title="Fourier series and coefficients in several variables">42B05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07974589" data-ciurl="/ci/07974589" data-biburl="/bibtex/07974589.bib" data-amsurl="/amsrefs/07974589.bib" data-xmlurl="/xml/07974589.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07974589.pdf" title="Zbl 07974589 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00030-024-01014-6" aria-label="DOI for “Fourier Galerkin approximation of mean field control problems”" title="10.1007/s00030-024-01014-6">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2403.15642"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7972422" value="7972422" aria-label="mark item Zbl 07972422"></div> <div class="author"><a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a>; <a href="/authors/lo.catharine-wing-kwan" title="Author Profile">Lo, Catharine W. K.</a></div> <h3 class="title"> <a href="/7972422"><strong>Determining state space anomalies in mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7972422">Zbl 07972422</a> </h3> <div class="source"> <a href="/serials/173" title="Journal Profile">Nonlinearity</a> <a href="/?q=in%3A522149" title="Articles in this Issue">38, No. 2, Article ID 025010, 22 p., 22 p. (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35R35" title="Free boundary problems for PDEs">35R35</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07972422" data-ciurl="/ci/07972422" data-biburl="/bibtex/07972422.bib" data-amsurl="/amsrefs/07972422.bib" data-xmlurl="/xml/07972422.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07972422.pdf" title="Zbl 07972422 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/1361-6544/ada67d" aria-label="DOI for “Determining state space anomalies in mean field games”" title="10.1088/1361-6544/ada67d">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2405.18954"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8016676" value="8016676" aria-label="mark item Zbl 08016676"></div> <div class="author"><a href="/authors/fujii.masaaki" title="Author Profile">Fujii, Masaaki</a>; <a href="/authors/sekine.masashi" title="Author Profile">Sekine, Masashi</a></div> <h3 class="title"> <a href="/8016676"><strong>Mean-field equilibrium price formation with exponential utility.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8016676">Zbl 08016676</a> </h3> <div class="source"> <a href="/serials/2971" title="Journal Profile">Stoch. Dyn.</a> <a href="/?q=in%3A526351" title="Articles in this Issue">24, No. 8, Article ID 2550001, 36 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A37-XX" title="Dynamical systems and ergodic theory">37-XX</a> <a class="mono" href="/classification/?q=cc%3A60-XX" title="Probability theory and stochastic processes">60-XX</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08016676" data-ciurl="/ci/08016676" data-biburl="/bibtex/08016676.bib" data-amsurl="/amsrefs/08016676.bib" data-xmlurl="/xml/08016676.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08016676.pdf" title="Zbl 08016676 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0219493725500017" aria-label="DOI for “Mean-field equilibrium price formation with exponential utility”" title="10.1142/S0219493725500017">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2304.07108"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7991179" value="7991179" aria-label="mark item Zbl 07991179"></div> <div class="author"><a href="/authors/baudelet.sebastian" title="Author Profile">Baudelet, Sebastian</a>; <a href="/authors/frenais.brieuc" title="Author Profile">Frénais, Brieuc</a>; <a href="/authors/lauriere.mathieu" title="Author Profile">Laurière, Mathieu</a>; <a href="/authors/machtalay.amal" title="Author Profile">Machtalay, Amal</a>; <a href="/authors/zhu.yuchen" title="Author Profile">Zhu, Yuchen</a></div> <h3 class="title"> <a href="/7991179"><strong>Deep learning for mean field optimal transport.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7991179">Zbl 07991179</a> </h3> <div class="source"> <a href="/serials/8625" title="Journal Profile">ESAIM, Proc. Surv.</a> <a href="/?q=in%3A524659" title="Articles in this Issue">77, 145-175 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A90-XX" title="Operations research, mathematical programming">90-XX</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07991179" data-ciurl="/ci/07991179" data-biburl="/bibtex/07991179.bib" data-amsurl="/amsrefs/07991179.bib" data-xmlurl="/xml/07991179.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07991179.pdf" title="Zbl 07991179 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/proc/202477145" aria-label="DOI for “Deep learning for mean field optimal transport”" title="10.1051/proc/202477145">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.14739"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7984324" value="7984324" aria-label="mark item Zbl 07984324"></div> <div class="author"><a href="/authors/mazanti.guilherme" title="Author Profile">Mazanti, Guilherme</a></div> <h3 class="title"> <a href="/7984324"><strong>A note on existence and asymptotic behavior of Lagrangian equilibria for first-order optimal-exit mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7984324">Zbl 07984324</a> </h3> <div class="source"> <a href="/serials/7354" title="Journal Profile">Math. Control Relat. Fields</a> <a href="/?q=in%3A523829" title="Articles in this Issue">14, No. 4, 1776-1813 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A93C15" title="Control/observation systems governed by ordinary differential equations">93C15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07984324" data-ciurl="/ci/07984324" data-biburl="/bibtex/07984324.bib" data-amsurl="/amsrefs/07984324.bib" data-xmlurl="/xml/07984324.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07984324.pdf" title="Zbl 07984324 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/mcrf.2024064" aria-label="DOI for “A note on existence and asymptotic behavior of Lagrangian equilibria for first-order optimal-exit mean field games”" title="10.3934/mcrf.2024064">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2410.06073"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7963970" value="7963970" aria-label="mark item Zbl 07963970"></div> <div class="author"><a href="/authors/gianatti.justina" title="Author Profile">Gianatti, Justina</a>; <a href="/authors/silva.francisco-j" title="Author Profile">Silva, Francisco J.</a></div> <h3 class="title"> <a href="/7963970"><strong>Approximation of deterministic mean field games with control-affine dynamics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7963970">Zbl 07963970</a> </h3> <div class="source"> <a href="/serials/2835" title="Journal Profile">Found. Comput. Math.</a> <a href="/?q=in%3A522141" title="Articles in this Issue">24, No. 6, 2017-2061 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A65M99" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65M99</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07963970" data-ciurl="/ci/07963970" data-biburl="/bibtex/07963970.bib" data-amsurl="/amsrefs/07963970.bib" data-xmlurl="/xml/07963970.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07963970.pdf" title="Zbl 07963970 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10208-023-09629-4" aria-label="DOI for “Approximation of deterministic mean field games with control-affine dynamics”" title="10.1007/s10208-023-09629-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.09854"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7950711" value="7950711" aria-label="mark item Zbl 1553.35214"></div> <div class="author"><a href="/authors/ni.panrui" title="Author Profile">Ni, Panrui</a></div> <h3 class="title"> <a href="/1553.35214"><strong>Time periodic solutions of first order mean field games from the perspective of Mather theory.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1553.35214">Zbl 1553.35214</a> </h3> <div class="source"> <a href="/serials/484" title="Journal Profile">J. Differ. Equations</a> <a href="/?q=in%3A521087" title="Articles in this Issue">412, 881-901 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A37J51" title="Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods">37J51</a> <a class="mono" href="/classification/?q=cc%3A35B10" title="Periodic solutions to PDEs">35B10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1553.35214" data-ciurl="/ci/07950711" data-biburl="/bibtex/07950711.bib" data-amsurl="/amsrefs/07950711.bib" data-xmlurl="/xml/07950711.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07950711.pdf" title="Zbl 1553.35214 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jde.2024.09.006" aria-label="DOI for “Time periodic solutions of first order mean field games from the perspective of Mather theory”" title="10.1016/j.jde.2024.09.006">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2401.07155"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7939812" value="7939812" aria-label="mark item Zbl 1551.49041"></div> <div class="author"><a href="/authors/daudin.samuel" title="Author Profile">Daudin, Samuel</a>; <a href="/authors/delarue.francois" title="Author Profile">Delarue, François</a>; <a href="/authors/jackson.joe" title="Author Profile">Jackson, Joe</a></div> <h3 class="title"> <a href="/1551.49041"><strong>On the optimal rate for the convergence problem in mean field control.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1551.49041">Zbl 1551.49041</a> </h3> <div class="source"> <a href="/serials/492" title="Journal Profile">J. Funct. Anal.</a> <a href="/?q=in%3A520263" title="Articles in this Issue">287, No. 12, Article ID 110660, 94 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A65C35" title="Stochastic particle methods">65C35</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1551.49041" data-ciurl="/ci/07939812" data-biburl="/bibtex/07939812.bib" data-amsurl="/amsrefs/07939812.bib" data-xmlurl="/xml/07939812.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07939812.pdf" title="Zbl 1551.49041 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jfa.2024.110660" aria-label="DOI for “On the optimal rate for the convergence problem in mean field control”" title="10.1016/j.jfa.2024.110660">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2305.08423"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7937747" value="7937747" aria-label="mark item Zbl 07937747"></div> <div class="author"><a href="/authors/souganidis.panagiotis-e" title="Author Profile">Souganidis, Panagiotis E.</a>; <a href="/authors/zariphopoulou.thaleia" title="Author Profile">Zariphopoulou, Thaleia</a></div> <h3 class="title"> <a href="/7937747"><strong>Mean field games with unbounded controlled common noise in portfolio management with relative performance criteria.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7937747">Zbl 07937747</a> </h3> <div class="source"> <a href="/serials/4919" title="Journal Profile">Math. Financ. Econ.</a> <a href="/?q=in%3A520114" title="Articles in this Issue">18, No. 2-3, 429-456 (2024)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A15215">Paweł Kliber (Poznan)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91G10" title="Portfolio theory">91G10</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> <a class="mono" href="/classification/?q=cc%3A49L12" title="Hamilton-Jacobi equations in optimal control and differential games">49L12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07937747" data-ciurl="/ci/07937747" data-biburl="/bibtex/07937747.bib" data-amsurl="/amsrefs/07937747.bib" data-xmlurl="/xml/07937747.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07937747.pdf" title="Zbl 07937747 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11579-024-00363-1" aria-label="DOI for “Mean field games with unbounded controlled common noise in portfolio management with relative performance criteria”" title="10.1007/s11579-024-00363-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7937742" value="7937742" aria-label="mark item Zbl 1553.91023"></div> <div class="author"><a href="/authors/tangpi.ludovic" title="Author Profile">Tangpi, Ludovic</a>; <a href="/authors/wang.shichun" title="Author Profile">Wang, Shichun</a></div> <h3 class="title"> <a href="/1553.91023"><strong>Optimal bubble riding with price-dependent entry: a mean field game of controls with common noise.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1553.91023">Zbl 1553.91023</a> </h3> <div class="source"> <a href="/serials/4919" title="Journal Profile">Math. Financ. Econ.</a> <a href="/?q=in%3A520114" title="Articles in this Issue">18, No. 2-3, 275-312 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> <a class="mono" href="/classification/?q=cc%3A91G15" title="Financial markets">91G15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1553.91023" data-ciurl="/ci/07937742" data-biburl="/bibtex/07937742.bib" data-amsurl="/amsrefs/07937742.bib" data-xmlurl="/xml/07937742.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07937742.pdf" title="Zbl 1553.91023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11579-024-00353-3" aria-label="DOI for “Optimal bubble riding with price-dependent entry: a mean field game of controls with common noise”" title="10.1007/s11579-024-00353-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2307.11340"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7937741" value="7937741" aria-label="mark item Zbl 07937741"></div> <div class="author"><a href="/authors/dumitrescu.roxana" title="Author Profile">Dumitrescu, Roxana</a>; <a href="/authors/leutscher.marcos" title="Author Profile">Leutscher, Marcos</a>; <a href="/authors/tankov.peter" title="Author Profile">Tankov, Peter</a></div> <h3 class="title"> <a href="/7937741"><strong>Energy transition under scenario uncertainty: a mean-field game of stopping with common noise.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7937741">Zbl 07937741</a> </h3> <div class="source"> <a href="/serials/4919" title="Journal Profile">Math. Financ. Econ.</a> <a href="/?q=in%3A520114" title="Articles in this Issue">18, No. 2-3, 233-274 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A55" title="Games of timing">91A55</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> <a class="mono" href="/classification/?q=cc%3A91B74" title="Economic models of real-world systems (e.g., electricity markets, etc.)">91B74</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07937741" data-ciurl="/ci/07937741" data-biburl="/bibtex/07937741.bib" data-amsurl="/amsrefs/07937741.bib" data-xmlurl="/xml/07937741.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07937741.pdf" title="Zbl 07937741 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11579-023-00352-w" aria-label="DOI for “Energy transition under scenario uncertainty: a mean-field game of stopping with common noise”" title="10.1007/s11579-023-00352-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.03554"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7937739" value="7937739" aria-label="mark item Zbl 07937739"></div> <div class="author"><a href="/authors/achdou.yves" title="Author Profile">Achdou, Yves</a>; <a href="/authors/carlier.guillaume" title="Author Profile">Carlier, Guillaume</a>; <a href="/authors/petit.quentin" title="Author Profile">Petit, Quentin</a>; <a href="/authors/tonon.daniela" title="Author Profile">Tonon, Daniela</a></div> <h3 class="title"> <a href="/7937739"><strong>A mean field model for the interactions between firms on the markets of their inputs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7937739">Zbl 07937739</a> </h3> <div class="source"> <a href="/serials/4919" title="Journal Profile">Math. Financ. Econ.</a> <a href="/?q=in%3A520114" title="Articles in this Issue">18, No. 2-3, 177-211 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91B69" title="Heterogeneous agent models">91B69</a> <a class="mono" href="/classification/?q=cc%3A91B52" title="Special types of economic equilibria">91B52</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07937739" data-ciurl="/ci/07937739" data-biburl="/bibtex/07937739.bib" data-amsurl="/amsrefs/07937739.bib" data-xmlurl="/xml/07937739.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07937739.pdf" title="Zbl 07937739 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11579-023-00333-z" aria-label="DOI for “A mean field model for the interactions between firms on the markets of their inputs”" title="10.1007/s11579-023-00333-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2207.05411"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7932409" value="7932409" aria-label="mark item Zbl 07932409"></div> <div class="author"><a href="/authors/graber.philip-jameson" title="Author Profile">Graber, P. Jameson</a>; <a href="/authors/meszaros.alpar-richard" title="Author Profile">Mészáros, Alpár R.</a></div> <h3 class="title"> <a href="/7932409"><strong>On some mean field games and master equations through the lens of conservation laws.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7932409">Zbl 07932409</a> </h3> <div class="source"> <a href="/serials/554" title="Journal Profile">Math. Ann.</a> <a href="/?q=in%3A519591" title="Articles in this Issue">390, No. 3, 4497-4533 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35L65" title="Hyperbolic conservation laws">35L65</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07932409" data-ciurl="/ci/07932409" data-biburl="/bibtex/07932409.bib" data-amsurl="/amsrefs/07932409.bib" data-xmlurl="/xml/07932409.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07932409.pdf" title="Zbl 07932409 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00208-024-02859-z" aria-label="DOI for “On some mean field games and master equations through the lens of conservation laws”" title="10.1007/s00208-024-02859-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2208.10360"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7932376" value="7932376" aria-label="mark item Zbl 07932376"></div> <div class="author"><a href="/authors/mannucci.paola" title="Author Profile">Mannucci, Paola</a>; <a href="/authors/marchi.claudio" title="Author Profile">Marchi, Claudio</a>; <a href="/authors/mendico.cristian" title="Author Profile">Mendico, Cristian</a></div> <h3 class="title"> <a href="/7932376"><strong>Semi-linear parabolic equations on homogenous Lie groups arising from mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7932376">Zbl 07932376</a> </h3> <div class="source"> <a href="/serials/554" title="Journal Profile">Math. Ann.</a> <a href="/?q=in%3A519590" title="Articles in this Issue">390, No. 2, 3077-3108 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35H20" title="Subelliptic equations">35H20</a> <a class="mono" href="/classification/?q=cc%3A35K10" title="Second-order parabolic equations">35K10</a> <a class="mono" href="/classification/?q=cc%3A35K58" title="Semilinear parabolic equations">35K58</a> <a class="mono" href="/classification/?q=cc%3A22E70" title="Applications of Lie groups to the sciences; explicit representations">22E70</a> <a class="mono" href="/classification/?q=cc%3A35R03" title="PDEs on Heisenberg groups, Lie groups, Carnot groups, etc.">35R03</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07932376" data-ciurl="/ci/07932376" data-biburl="/bibtex/07932376.bib" data-amsurl="/amsrefs/07932376.bib" data-xmlurl="/xml/07932376.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07932376.pdf" title="Zbl 07932376 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00208-024-02819-7" aria-label="DOI for “Semi-linear parabolic equations on homogenous Lie groups arising from mean field games”" title="10.1007/s00208-024-02819-7">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2307.07257"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7930639" value="7930639" aria-label="mark item Zbl 07930639"></div> <div class="author"><a href="/authors/kobeissi.ziad" title="Author Profile">Kobeissi, Ziad</a>; <a href="/authors/mazari-fouquer.idriss" title="Author Profile">Mazari-Fouquer, Idriss</a>; <a href="/authors/ruiz-balet.domenec" title="Author Profile">Ruiz-Balet, Domènec</a></div> <h3 class="title"> <a href="/7930639"><strong>The tragedy of the commons: a mean-field game approach to the reversal of travelling waves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7930639">Zbl 07930639</a> </h3> <div class="source"> <a href="/serials/173" title="Journal Profile">Nonlinearity</a> <a href="/?q=in%3A518000" title="Articles in this Issue">37, No. 11, Article ID 115010, 40 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91B76" title="Environmental economics (natural resource models, harvesting, pollution, etc.)">91B76</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A35K10" title="Second-order parabolic equations">35K10</a> <a class="mono" href="/classification/?q=cc%3A35K57" title="Reaction-diffusion equations">35K57</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07930639" data-ciurl="/ci/07930639" data-biburl="/bibtex/07930639.bib" data-amsurl="/amsrefs/07930639.bib" data-xmlurl="/xml/07930639.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07930639.pdf" title="Zbl 07930639 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/1361-6544/ad7b97" aria-label="DOI for “The tragedy of the commons: a mean-field game approach to the reversal of travelling waves”" title="10.1088/1361-6544/ad7b97">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.01365"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7928643" value="7928643" aria-label="mark item Zbl 1550.35138"></div> <div class="author"><a href="/authors/achdou.yves" title="Author Profile">Achdou, Yves</a>; <a href="/authors/mannucci.paola" title="Author Profile">Mannucci, Paola</a>; <a href="/authors/marchi.claudio" title="Author Profile">Marchi, Claudio</a>; <a href="/authors/tchou.nicoletta-anna" title="Author Profile">Tchou, Nicoletta</a></div> <h3 class="title"> <a href="/1550.35138"><strong>Deterministic mean field games on networks: a Lagrangian approach.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1550.35138">Zbl 1550.35138</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A516791" title="Articles in this Issue">56, No. 5, 6689-6730 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35F50" title="Systems of nonlinear first-order PDEs">35F50</a> <a class="mono" href="/classification/?q=cc%3A35Q91" title="PDEs in connection with game theory, economics, social and behavioral sciences">35Q91</a> <a class="mono" href="/classification/?q=cc%3A35R02" title="PDEs on graphs and networks (ramified or polygonal spaces)">35R02</a> <a class="mono" href="/classification/?q=cc%3A49K20" title="Optimality conditions for problems involving partial differential equations">49K20</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1550.35138" data-ciurl="/ci/07928643" data-biburl="/bibtex/07928643.bib" data-amsurl="/amsrefs/07928643.bib" data-xmlurl="/xml/07928643.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07928643.pdf" title="Zbl 1550.35138 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1615073" aria-label="DOI for “Deterministic mean field games on networks: a Lagrangian approach”" title="10.1137/23M1615073">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7923331" value="7923331" aria-label="mark item Zbl 1548.68218"></div> <div class="author"><a href="/authors/hu.ruimeng" title="Author Profile">Hu, Ruimeng</a>; <a href="/authors/lauriere.mathieu" title="Author Profile">Laurière, Mathieu</a></div> <h3 class="title"> <a href="/1548.68218"><strong>Recent developments in machine learning methods for stochastic control and games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.68218">Zbl 1548.68218</a> </h3> <div class="source"> <a href="/serials/7351" title="Journal Profile">Numer. Algebra Control Optim.</a> <a href="/?q=in%3A518763" title="Articles in this Issue">14, No. 3, 435-525 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A68T07" title="Artificial neural networks and deep learning">68T07</a> <a class="mono" href="/classification/?q=cc%3A49N70" title="Differential games and control">49N70</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A93E35" title="Stochastic learning and adaptive control">93E35</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.68218" data-ciurl="/ci/07923331" data-biburl="/bibtex/07923331.bib" data-amsurl="/amsrefs/07923331.bib" data-xmlurl="/xml/07923331.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07923331.pdf" title="Zbl 1548.68218 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/naco.2024031" aria-label="DOI for “Recent developments in machine learning methods for stochastic control and games”" title="10.3934/naco.2024031">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.10257"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7921241" value="7921241" aria-label="mark item Zbl 1546.00055"></div> <div class="author"></div> <div class="author_references"><a href="/authors/carlier.guillaume" title="Author Profile">Carlier, Guillaume (ed.)</a>; <a href="/authors/colombo.maria" title="Author Profile">Colombo, Maria (ed.)</a>; <a href="/authors/ehrlacher.virginie" title="Author Profile">Ehrlacher, Virginie (ed.)</a>; <a href="/authors/matthes.daniel" title="Author Profile">Matthes, Daniel (ed.)</a></div> <h3 class="title"> <a href="/1546.00055"><strong>Applications of optimal transportation. Abstracts from the workshop held February 4–9, 2024.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1546.00055">Zbl 1546.00055</a> </h3> <div class="source"> <a href="/serials/3247" title="Journal Profile">Oberwolfach Rep.</a> <a href="/?q=in%3A518218" title="Articles in this Issue">21, No. 1, 309-388 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A00B05" title="Collections of abstracts of lectures">00B05</a> <a class="mono" href="/classification/?q=cc%3A00B25" title="Proceedings of conferences of miscellaneous specific interest">00B25</a> <a class="mono" href="/classification/?q=cc%3A49-06" title="Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control">49-06</a> <a class="mono" href="/classification/?q=cc%3A49Q22" title="Optimal transportation">49Q22</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1546.00055" data-ciurl="/ci/07921241" data-biburl="/bibtex/07921241.bib" data-amsurl="/amsrefs/07921241.bib" data-xmlurl="/xml/07921241.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07921241.pdf" title="Zbl 1546.00055 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/OWR/2024/7" aria-label="DOI for “Applications of optimal transportation. Abstracts from the workshop held February 4--9, 2024”" title="10.4171/OWR/2024/7">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by-sa/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/sa.svg" alt="Creative Commons SA license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7920201" value="7920201" aria-label="mark item Zbl 1551.35437"></div> <div class="author"><a href="/authors/chowdhury.indranil" title="Author Profile">Chowdhury, Indranil</a>; <a href="/authors/jakobsen.espen-robstad" title="Author Profile">Jakobsen, Espen R.</a>; <a href="/authors/krupski.milosz" title="Author Profile">Krupski, Miłosz</a></div> <h3 class="title"> <a href="/1551.35437"><strong>On fully nonlinear parabolic mean field games with nonlocal and local diffusions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1551.35437">Zbl 1551.35437</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A516791" title="Articles in this Issue">56, No. 5, 6302-6336 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35D30" title="Weak solutions to PDEs">35D30</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A35K55" title="Nonlinear parabolic equations">35K55</a> <a class="mono" href="/classification/?q=cc%3A35K65" title="Degenerate parabolic equations">35K65</a> <a class="mono" href="/classification/?q=cc%3A35R09" title="Integro-partial differential equations">35R09</a> <a class="mono" href="/classification/?q=cc%3A47D07" title="Markov semigroups and applications to diffusion processes">47D07</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A60G51" title="Processes with independent increments; Lévy processes">60G51</a> <a class="mono" href="/classification/?q=cc%3A60J65" title="Brownian motion">60J65</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1551.35437" data-ciurl="/ci/07920201" data-biburl="/bibtex/07920201.bib" data-amsurl="/amsrefs/07920201.bib" data-xmlurl="/xml/07920201.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07920201.pdf" title="Zbl 1551.35437 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1615528" aria-label="DOI for “On fully nonlinear parabolic mean field games with nonlocal and local diffusions”" title="10.1137/23M1615528">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2104.06985"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7919101" value="7919101" aria-label="mark item Zbl 1542.91022"></div> <div class="author"><a href="/authors/chen.tian" title="Author Profile">Chen, Tian</a>; <a href="/authors/du.kai" title="Author Profile">Du, Kai</a>; <a href="/authors/wu.zhen" title="Author Profile">Wu, Zhen</a></div> <h3 class="title"> <a href="/1542.91022"><strong>Partially observed mean-field game and related mean-field forward-backward stochastic differential equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1542.91022">Zbl 1542.91022</a> </h3> <div class="source"> <a href="/serials/484" title="Journal Profile">J. Differ. Equations</a> <a href="/?q=in%3A518106" title="Articles in this Issue">408, 409-448 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.91022" data-ciurl="/ci/07919101" data-biburl="/bibtex/07919101.bib" data-amsurl="/amsrefs/07919101.bib" data-xmlurl="/xml/07919101.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07919101.pdf" title="Zbl 1542.91022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jde.2024.07.014" aria-label="DOI for “Partially observed mean-field game and related mean-field forward-backward stochastic differential equation”" title="10.1016/j.jde.2024.07.014">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7912399" value="7912399" aria-label="mark item Zbl 1544.91044"></div> <div class="author"><a href="/authors/butano.matteo" title="Author Profile">Butano, Matteo</a>; <a href="/authors/appert-rolland.cecile" title="Author Profile">Appert-Rolland, Cécile</a>; <a href="/authors/ullmo.denis" title="Author Profile">Ullmo, Denis</a></div> <h3 class="title"> <a href="/1544.91044"><strong>Discounted mean-field game model of a dense static crowd with variable information crossed by an intruder.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1544.91044">Zbl 1544.91044</a> </h3> <div class="source"> <a href="/serials/10682" title="Journal Profile">SciPost Phys.</a> <a href="/?q=in%3A517482" title="Articles in this Issue">16, No. 4, Paper No. 104, 18 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A76A30" title="Traffic and pedestrian flow models">76A30</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1544.91044" data-ciurl="/ci/07912399" data-biburl="/bibtex/07912399.bib" data-amsurl="/amsrefs/07912399.bib" data-xmlurl="/xml/07912399.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07912399.pdf" title="Zbl 1544.91044 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.21468/SciPostPhys.16.4.104" aria-label="DOI for “Discounted mean-field game model of a dense static crowd with variable information crossed by an intruder”" title="10.21468/SciPostPhys.16.4.104">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.08945"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7909886" value="7909886" aria-label="mark item Zbl 1551.91011"></div> <div class="author"><a href="/authors/hintermuller.michael" title="Author Profile">Hintermüller, Michael</a>; <a href="/authors/surowiec.thomas" title="Author Profile">Surowiec, Thomas M.</a>; <a href="/authors/theiss.mike" title="Author Profile">Theiß, Mike</a></div> <h3 class="title"> <a href="/1551.91011"><strong>On a differential generalized Nash equilibrium problem with mean field interaction.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1551.91011">Zbl 1551.91011</a> </h3> <div class="source"> <a href="/serials/1796" title="Journal Profile">SIAM J. Optim.</a> <a href="/?q=in%3A515126" title="Articles in this Issue">34, No. 3, 2821-2855 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A23" title="Differential games (aspects of game theory)">91A23</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A06" title="$n$-person games, $n>2$">91A06</a> <a class="mono" href="/classification/?q=cc%3A49N70" title="Differential games and control">49N70</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49N10" title="Linear-quadratic optimal control problems">49N10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1551.91011" data-ciurl="/ci/07909886" data-biburl="/bibtex/07909886.bib" data-amsurl="/amsrefs/07909886.bib" data-xmlurl="/xml/07909886.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07909886.pdf" title="Zbl 1551.91011 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1489952" aria-label="DOI for “On a differential generalized Nash equilibrium problem with mean field interaction”" title="10.1137/22M1489952">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7906235" value="7906235" aria-label="mark item Zbl 1547.35780"></div> <div class="author"><a href="/authors/cardaliaguet.pierre" title="Author Profile">Cardaliaguet, Pierre</a>; <a href="/authors/munoz.sebastian" title="Author Profile">Munoz, Sebastian</a>; <a href="/authors/porretta.alessio" title="Author Profile">Porretta, Alessio</a></div> <h3 class="title"> <a href="/1547.35780"><strong>Free boundary regularity and support propagation in mean field games and optimal transport.</strong></a> <i>(English. French summary)</i> <a class="label nowrap" href="/1547.35780">Zbl 1547.35780</a> </h3> <div class="source"> <a href="/serials/1597" title="Journal Profile">J. Math. Pures Appl. (9)</a> <a href="/?q=in%3A516738" title="Articles in this Issue">190, Article ID 103599, 75 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35R35" title="Free boundary problems for PDEs">35R35</a> <a class="mono" href="/classification/?q=cc%3A35B65" title="Smoothness and regularity of solutions to PDEs">35B65</a> <a class="mono" href="/classification/?q=cc%3A35C06" title="Self-similar solutions to PDEs">35C06</a> <a class="mono" href="/classification/?q=cc%3A35J70" title="Degenerate elliptic equations">35J70</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1547.35780" data-ciurl="/ci/07906235" data-biburl="/bibtex/07906235.bib" data-amsurl="/amsrefs/07906235.bib" data-xmlurl="/xml/07906235.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07906235.pdf" title="Zbl 1547.35780 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.matpur.2024.103599" aria-label="DOI for “Free boundary regularity and support propagation in mean field games and optimal transport”" title="10.1016/j.matpur.2024.103599">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2308.00314"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7904750" value="7904750" aria-label="mark item Zbl 1544.91067"></div> <div class="author"><a href="/authors/vives.xavier" title="Author Profile">Vives, Xavier</a>; <a href="/authors/vravosinos.orestis" title="Author Profile">Vravosinos, Orestis</a></div> <h3 class="title"> <a href="/1544.91067"><strong>Strategic complementarity in games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1544.91067">Zbl 1544.91067</a> </h3> <div class="source"> <a href="/serials/503" title="Journal Profile">J. Math. Econ.</a> <a href="/?q=in%3A516661" title="Articles in this Issue">113, Article ID 103005, 10 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A25" title="Dynamic games">91A25</a> <a class="mono" href="/classification/?q=cc%3A91A27" title="Games with incomplete information, Bayesian games">91A27</a> <a class="mono" href="/classification/?q=cc%3A91B03" title="Mechanism design theory">91B03</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1544.91067" data-ciurl="/ci/07904750" data-biburl="/bibtex/07904750.bib" data-amsurl="/amsrefs/07904750.bib" data-xmlurl="/xml/07904750.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07904750.pdf" title="Zbl 1544.91067 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmateco.2024.103005" aria-label="DOI for “Strategic complementarity in games”" title="10.1016/j.jmateco.2024.103005">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7897461" value="7897461" aria-label="mark item Zbl 1546.35029"></div> <div class="author"><a href="/authors/cutri.alessandra" title="Author Profile">Cutrì, Alessandra</a>; <a href="/authors/mannucci.paola" title="Author Profile">Mannucci, Paola</a>; <a href="/authors/marchi.claudio" title="Author Profile">Marchi, Claudio</a>; <a href="/authors/tchou.nicoletta-anna" title="Author Profile">Tchou, Nicoletta</a></div> <h3 class="title"> <a href="/1546.35029"><strong>The continuity equation in the Heisenberg-periodic case: a representation formula and an application to mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1546.35029">Zbl 1546.35029</a> </h3> <div class="source"> <a href="/serials/2071" title="Journal Profile">NoDEA, Nonlinear Differ. Equ. Appl.</a> <a href="/?q=in%3A514709" title="Articles in this Issue">31, No. 5, Paper No. 91, 25 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35F50" title="Systems of nonlinear first-order PDEs">35F50</a> <a class="mono" href="/classification/?q=cc%3A35H20" title="Subelliptic equations">35H20</a> <a class="mono" href="/classification/?q=cc%3A35Q91" title="PDEs in connection with game theory, economics, social and behavioral sciences">35Q91</a> <a class="mono" href="/classification/?q=cc%3A49K20" title="Optimality conditions for problems involving partial differential equations">49K20</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A49Q20" title="Variational problems in a geometric measure-theoretic setting">49Q20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1546.35029" data-ciurl="/ci/07897461" data-biburl="/bibtex/07897461.bib" data-amsurl="/amsrefs/07897461.bib" data-xmlurl="/xml/07897461.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07897461.pdf" title="Zbl 1546.35029 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00030-024-00967-y" aria-label="DOI for “The continuity equation in the Heisenberg-periodic case: a representation formula and an application to mean field games”" title="10.1007/s00030-024-00967-y">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2406.02145"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7896894" value="7896894" aria-label="mark item Zbl 1547.35691"></div> <div class="author"><a href="/authors/imanuvilov.oleg-yu" title="Author Profile">Imanuvilov, Oleg</a>; <a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a>; <a href="/authors/yamamoto.masahiro" title="Author Profile">Yamamoto, Masahiro</a></div> <h3 class="title"> <a href="/1547.35691"><strong>Lipschitz stability for determination of states and inverse source problem for the mean field game equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1547.35691">Zbl 1547.35691</a> </h3> <div class="source"> <a href="/serials/4975" title="Journal Profile">Inverse Probl. Imaging</a> <a href="/?q=in%3A515910" title="Articles in this Issue">18, No. 4, 824-859 (2024)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12644">Dimitris P. Vartziotis (Ioannina)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35K10" title="Second-order parabolic equations">35K10</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35N10" title="Overdetermined systems of PDEs with variable coefficients">35N10</a> <a class="mono" href="/classification/?q=cc%3A35B35" title="Stability in context of PDEs">35B35</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1547.35691" data-ciurl="/ci/07896894" data-biburl="/bibtex/07896894.bib" data-amsurl="/amsrefs/07896894.bib" data-xmlurl="/xml/07896894.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07896894.pdf" title="Zbl 1547.35691 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/ipi.2023057" aria-label="DOI for “Lipschitz stability for determination of states and inverse source problem for the mean field game equations”" title="10.3934/ipi.2023057">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2307.04641"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7894660" value="7894660" aria-label="mark item Zbl 1542.91024"></div> <div class="author"><a href="/authors/wang.ziyuan" title="Author Profile">Wang, Ziyuan</a>; <a href="/authors/zhou.zhou" title="Author Profile">Zhou, Zhou</a></div> <h3 class="title"> <a href="/1542.91024"><strong>Sharp equilibria for time-inconsistent mean-field stopping games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1542.91024">Zbl 1542.91024</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A514931" title="Articles in this Issue">62, No. 4, 2319-2345 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A55" title="Games of timing">91A55</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.91024" data-ciurl="/ci/07894660" data-biburl="/bibtex/07894660.bib" data-amsurl="/amsrefs/07894660.bib" data-xmlurl="/xml/07894660.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07894660.pdf" title="Zbl 1542.91024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1625512" aria-label="DOI for “Sharp equilibria for time-inconsistent mean-field stopping games”" title="10.1137/23M1625512">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7887266" value="7887266" aria-label="mark item Zbl 1545.91030"></div> <div class="author"><a href="/authors/dumas.annette" title="Author Profile">Dumas, Annette</a>; <a href="/authors/santambrogio.filippo" title="Author Profile">Santambrogio, Filippo</a></div> <h3 class="title"> <a href="/1545.91030"><strong>Optimal trajectories in $L^1$ and under $L^1$ penalizations. (Trajectoires optimales dans $L^1$ et sous pénalisation de type $L^1$.)</strong></a> <i>(English. French summary)</i> <a class="label nowrap" href="/1545.91030">Zbl 1545.91030</a> </h3> <div class="source"> <a href="/serials/2925" title="Journal Profile">C. R., Math., Acad. Sci. Paris</a> <a href="/?q=in%3A509761" title="Articles in this Issue">362, 657-692 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1545.91030" data-ciurl="/ci/07887266" data-biburl="/bibtex/07887266.bib" data-amsurl="/amsrefs/07887266.bib" data-xmlurl="/xml/07887266.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07887266.pdf" title="Zbl 1545.91030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.5802/crmath.583" aria-label="DOI for “Optimal trajectories in $L^1$ and under $L^1$ penalizations”" title="10.5802/crmath.583">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7878491" value="7878491" aria-label="mark item Zbl 1545.91031"></div> <div class="author"><a href="/authors/tchuendom.rinel-foguen" title="Author Profile">Foguen-Tchuendom, Rinel</a>; <a href="/authors/gao.shuang" title="Author Profile">Gao, Shuang</a>; <a href="/authors/caines.peter-e" title="Author Profile">Caines, Peter E.</a>; <a href="/authors/huang.minyi.1" title="Author Profile">Huang, Minyi</a></div> <h3 class="title"> <a href="/1545.91031"><strong>Infinite horizon LQG graphon mean field games: explicit Nash values and local minima.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1545.91031">Zbl 1545.91031</a> </h3> <div class="source"> <a href="/serials/870" title="Journal Profile">Syst. Control Lett.</a> <a href="/?q=in%3A514920" title="Articles in this Issue">187, Article ID 105780, 9 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1545.91031" data-ciurl="/ci/07878491" data-biburl="/bibtex/07878491.bib" data-amsurl="/amsrefs/07878491.bib" data-xmlurl="/xml/07878491.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07878491.pdf" title="Zbl 1545.91031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.sysconle.2024.105780" aria-label="DOI for “Infinite horizon LQG graphon mean field games: explicit Nash values and local minima”" title="10.1016/j.sysconle.2024.105780">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873869" value="7873869" aria-label="mark item Zbl 1543.65089"></div> <div class="author"><a href="/authors/briceno-arias.luis-m" title="Author Profile">Briceño-Arias, Luis M.</a>; <a href="/authors/silva.francisco-jose" title="Author Profile">Silva, Francisco J.</a>; <a href="/authors/yang.xianjin" title="Author Profile">Yang, Xianjin</a></div> <h3 class="title"> <a href="/1543.65089"><strong>Forward-backward algorithm for functions with locally Lipschitz gradient: applications to mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1543.65089">Zbl 1543.65089</a> </h3> <div class="source"> <a href="/serials/6827" title="Journal Profile">Set-Valued Var. Anal.</a> <a href="/?q=in%3A510211" title="Articles in this Issue">32, No. 2, Paper No. 16, 22 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> <a class="mono" href="/classification/?q=cc%3A90C25" title="Convex programming">90C25</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1543.65089" data-ciurl="/ci/07873869" data-biburl="/bibtex/07873869.bib" data-amsurl="/amsrefs/07873869.bib" data-xmlurl="/xml/07873869.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873869.pdf" title="Zbl 1543.65089 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11228-024-00719-1" aria-label="DOI for “Forward-backward algorithm for functions with locally Lipschitz gradient: applications to mean field games”" title="10.1007/s11228-024-00719-1">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2306.16047"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873828" value="7873828" aria-label="mark item Zbl 1542.35391"></div> <div class="author"><a href="/authors/soner.halil-mete" title="Author Profile">Soner, H. Mete</a>; <a href="/authors/yan.qinxin" title="Author Profile">Yan, Qinxin</a></div> <h3 class="title"> <a href="/1542.35391"><strong>Viscosity solutions of the eikonal equation on the Wasserstein space.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1542.35391">Zbl 1542.35391</a> </h3> <div class="source"> <a href="/serials/333" title="Journal Profile">Appl. Math. Optim.</a> <a href="/?q=in%3A514666" title="Articles in this Issue">90, No. 1, Paper No. 1, 16 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49L20" title="Dynamic programming in optimal control and differential games">49L20</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A35R60" title="PDEs with randomness, stochastic partial differential equations">35R60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.35391" data-ciurl="/ci/07873828" data-biburl="/bibtex/07873828.bib" data-amsurl="/amsrefs/07873828.bib" data-xmlurl="/xml/07873828.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873828.pdf" title="Zbl 1542.35391 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00245-024-10145-2" aria-label="DOI for “Viscosity solutions of the eikonal equation on the Wasserstein space”" title="10.1007/s00245-024-10145-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2308.04097"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7866584" value="7866584" aria-label="mark item Zbl 1542.91021"></div> <div class="author"><a href="/authors/averboukh.yurii-vladimirovich" title="Author Profile">Averboukh, Yurii</a>; <a href="/authors/?q=ai%3Avolkov.aleksei-vasilevich%7Cvolkov.aleksei-vladimirovich" title="Author Profile">Volkov, Aleksei</a></div> <h3 class="title"> <a href="/1542.91021"><strong>Planning problem for continuous-time finite state mean field game with compact action space.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1542.91021">Zbl 1542.91021</a> </h3> <div class="source"> <a href="/serials/7293" title="Journal Profile">Dyn. Games Appl.</a> <a href="/?q=in%3A513962" title="Articles in this Issue">14, No. 2, 285-303 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A60J28" title="Applications of continuous-time Markov processes on discrete state spaces">60J28</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.91021" data-ciurl="/ci/07866584" data-biburl="/bibtex/07866584.bib" data-amsurl="/amsrefs/07866584.bib" data-xmlurl="/xml/07866584.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07866584.pdf" title="Zbl 1542.91021 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13235-023-00492-0" aria-label="DOI for “Planning problem for continuous-time finite state mean field game with compact action space”" title="10.1007/s13235-023-00492-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2204.08736"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7866512" value="7866512" aria-label="mark item Zbl 1540.91004"></div> <div class="author"><a href="/authors/calzola.elisa" title="Author Profile">Calzola, Elisa</a>; <a href="/authors/carlini.elisabetta" title="Author Profile">Carlini, Elisabetta</a>; <a href="/authors/silva.francisco-j" title="Author Profile">Silva, Francisco J.</a></div> <h3 class="title"> <a href="/1540.91004"><strong>A high-order scheme for mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.91004">Zbl 1540.91004</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A513957" title="Articles in this Issue">445, Article ID 115769, 19 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91-08" title="Computational methods for problems pertaining to game theory, economics, and finance">91-08</a> <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1540.91004" data-ciurl="/ci/07866512" data-biburl="/bibtex/07866512.bib" data-amsurl="/amsrefs/07866512.bib" data-xmlurl="/xml/07866512.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07866512.pdf" title="Zbl 1540.91004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2024.115769" aria-label="DOI for “A high-order scheme for mean field games”" title="10.1016/j.cam.2024.115769">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2207.08463"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7865502" value="7865502" aria-label="mark item Zbl 1544.91042"></div> <div class="author"><a href="/authors/bergault.philippe" title="Author Profile">Bergault, Philippe</a>; <a href="/authors/cardaliaguet.pierre" title="Author Profile">Cardaliaguet, Pierre</a>; <a href="/authors/rainer.catherine" title="Author Profile">Rainer, Catherine</a></div> <h3 class="title"> <a href="/1544.91042"><strong>Mean field games in a Stackelberg problem with an informed major player.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1544.91042">Zbl 1544.91042</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A511942" title="Articles in this Issue">62, No. 3, 1737-1765 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A15" title="Stochastic games, stochastic differential games">91A15</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1544.91042" data-ciurl="/ci/07865502" data-biburl="/bibtex/07865502.bib" data-amsurl="/amsrefs/07865502.bib" data-xmlurl="/xml/07865502.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07865502.pdf" title="Zbl 1544.91042 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1615188" aria-label="DOI for “Mean field games in a Stackelberg problem with an informed major player”" title="10.1137/23M1615188">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2311.05229"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-04272731" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7863609" value="7863609" aria-label="mark item Zbl 07863609"></div> <div class="author"><a href="/authors/guo.jinyan" title="Author Profile">Guo, Jinyan</a>; <a href="/authors/mou.chenchen" title="Author Profile">Mou, Chenchen</a>; <a href="/authors/yang.xianjin" title="Author Profile">Yang, Xianjin</a>; <a href="/authors/zhou.chao" title="Author Profile">Zhou, Chao</a></div> <h3 class="title"> <a href="/7863609"><strong>Decoding mean field games from population and environment observations by Gaussian processes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7863609">Zbl 07863609</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A513631" title="Articles in this Issue">508, Article ID 112978, 22 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91Axx" title="Game theory">91Axx</a> <a class="mono" href="/classification/?q=cc%3A65Mxx" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65Mxx</a> <a class="mono" href="/classification/?q=cc%3A35Rxx" title="Miscellaneous topics in partial differential equations">35Rxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07863609" data-ciurl="/ci/07863609" data-biburl="/bibtex/07863609.bib" data-amsurl="/amsrefs/07863609.bib" data-xmlurl="/xml/07863609.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07863609.pdf" title="Zbl 07863609 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2024.112978" aria-label="DOI for “Decoding mean field games from population and environment observations by Gaussian processes”" title="10.1016/j.jcp.2024.112978">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2312.06625"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7859348" value="7859348" aria-label="mark item Zbl 1537.91146"></div> <div class="author"><a href="/authors/alasseur.clemence" title="Author Profile">Alasseur, Clémence</a>; <a href="/authors/campi.luciano" title="Author Profile">Campi, Luciano</a>; <a href="/authors/dumitrescu.roxana" title="Author Profile">Dumitrescu, Roxana</a>; <a href="/authors/zeng.jia" title="Author Profile">Zeng, Jia</a></div> <h3 class="title"> <a href="/1537.91146"><strong>MFG model with a long-lived penalty at random jump times: application to demand side management for electricity contracts.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1537.91146">Zbl 1537.91146</a> </h3> <div class="source"> <a href="/serials/1319" title="Journal Profile">Ann. Oper. Res.</a> <a href="/?q=in%3A513093" title="Articles in this Issue">336, No. 1-2, 541-569 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91B41" title="Contract theory (moral hazard, adverse selection)">91B41</a> <a class="mono" href="/classification/?q=cc%3A91B42" title="Consumer behavior, demand theory">91B42</a> <a class="mono" href="/classification/?q=cc%3A91A15" title="Stochastic games, stochastic differential games">91A15</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1537.91146" data-ciurl="/ci/07859348" data-biburl="/bibtex/07859348.bib" data-amsurl="/amsrefs/07859348.bib" data-xmlurl="/xml/07859348.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07859348.pdf" title="Zbl 1537.91146 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10479-023-05270-0" aria-label="DOI for “MFG model with a long-lived penalty at random jump times: application to demand side management for electricity contracts”" title="10.1007/s10479-023-05270-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2101.06031"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7852400" value="7852400" aria-label="mark item Zbl 1540.49043"></div> <div class="author"><a href="/authors/seguret.adrien" title="Author Profile">Séguret, Adrien</a></div> <h3 class="title"> <a href="/1540.49043"><strong>An optimal control problem for the continuity equation arising in smart charging.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.49043">Zbl 1540.49043</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. Math. Anal. Appl.</a> <a href="/?q=in%3A507750" title="Articles in this Issue">531, No. 1, Part 2, Article ID 127891, 38 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49N35" title="Optimal feedback synthesis">49N35</a> <a class="mono" href="/classification/?q=cc%3A49J20" title="Existence theories for optimal control problems involving partial differential equations">49J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1540.49043" data-ciurl="/ci/07852400" data-biburl="/bibtex/07852400.bib" data-amsurl="/amsrefs/07852400.bib" data-xmlurl="/xml/07852400.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07852400.pdf" title="Zbl 1540.49043 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmaa.2023.127891" aria-label="DOI for “An optimal control problem for the continuity equation arising in smart charging”" title="10.1016/j.jmaa.2023.127891">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2109.12836"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03353917" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7851941" value="7851941" aria-label="mark item Zbl 1539.35275"></div> <div class="author"><a href="/authors/porretta.alessio" title="Author Profile">Porretta, Alessio</a>; <a href="/authors/ricciardi.michele" title="Author Profile">Ricciardi, Michele</a></div> <h3 class="title"> <a href="/1539.35275"><strong>Ergodic problems for second-order mean field games with state constraints.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1539.35275">Zbl 1539.35275</a> </h3> <div class="source"> <a href="/serials/2974" title="Journal Profile">Commun. Pure Appl. Anal.</a> <a href="/?q=in%3A512597" title="Articles in this Issue">23, No. 5, 620-644 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A35B44" title="Blow-up in context of PDEs">35B44</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1539.35275" data-ciurl="/ci/07851941" data-biburl="/bibtex/07851941.bib" data-amsurl="/amsrefs/07851941.bib" data-xmlurl="/xml/07851941.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07851941.pdf" title="Zbl 1539.35275 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/cpaa.2024028" aria-label="DOI for “Ergodic problems for second-order mean field games with state constraints”" title="10.3934/cpaa.2024028">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2310.02652"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7846995" value="7846995" aria-label="mark item Zbl 1539.91009"></div> <div class="author"><a href="/authors/gianatti.justina" title="Author Profile">Gianatti, Justina</a>; <a href="/authors/silva.francisco-j" title="Author Profile">Silva, Francisco J.</a>; <a href="/authors/zorkot.ahmad" title="Author Profile">Zorkot, Ahmad</a></div> <h3 class="title"> <a href="/1539.91009"><strong>Approximation of deterministic mean field games under polynomial growth conditions on the data.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1539.91009">Zbl 1539.91009</a> </h3> <div class="source"> <a href="/serials/7992" title="Journal Profile">J. Dyn. Games</a> <a href="/?q=in%3A512284" title="Articles in this Issue">11, No. 2, 131-149 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A65M99" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65M99</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1539.91009" data-ciurl="/ci/07846995" data-biburl="/bibtex/07846995.bib" data-amsurl="/amsrefs/07846995.bib" data-xmlurl="/xml/07846995.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07846995.pdf" title="Zbl 1539.91009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/jdg.2023018" aria-label="DOI for “Approximation of deterministic mean field games under polynomial growth conditions on the data”" title="10.3934/jdg.2023018">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2305.01445"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7834363" value="7834363" aria-label="mark item Zbl 1536.91219"></div> <div class="author"><a href="/authors/fabbri.giorgio" title="Author Profile">Fabbri, Giorgio</a>; <a href="/authors/federico.salvatore" title="Author Profile">Federico, Salvatore</a>; <a href="/authors/fiaschi.davide" title="Author Profile">Fiaschi, Davide</a>; <a href="/authors/gozzi.fausto" title="Author Profile">Gozzi, Fausto</a></div> <h3 class="title"> <a href="/1536.91219"><strong>Mobility decisions, economic dynamics and epidemic.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1536.91219">Zbl 1536.91219</a> </h3> <div class="source"> <a href="/serials/2028" title="Journal Profile">Econ. Theory</a> <a href="/?q=in%3A511205" title="Articles in this Issue">77, No. 1-2, 495-531 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91B55" title="Economic dynamics">91B55</a> <a class="mono" href="/classification/?q=cc%3A92D30" title="Epidemiology">92D30</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1536.91219" data-ciurl="/ci/07834363" data-biburl="/bibtex/07834363.bib" data-amsurl="/amsrefs/07834363.bib" data-xmlurl="/xml/07834363.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07834363.pdf" title="Zbl 1536.91219 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00199-023-01485-1" aria-label="DOI for “Mobility decisions, economic dynamics and epidemic”" title="10.1007/s00199-023-01485-1">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.01746"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7829445" value="7829445" aria-label="mark item Zbl 1536.35374"></div> <div class="author"><a href="/authors/klibanov.michael-victor" title="Author Profile">Klibanov, Michael V.</a>; <a href="/authors/li.jingzhi" title="Author Profile">Li, Jingzhi</a>; <a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a></div> <h3 class="title"> <a href="/1536.35374"><strong>On the mean field games system with lateral Cauchy data via Carleman estimates.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1536.35374">Zbl 1536.35374</a> </h3> <div class="source"> <a href="/serials/2061" title="Journal Profile">J. Inverse Ill-Posed Probl.</a> <a href="/?q=in%3A510816" title="Articles in this Issue">32, No. 2, 277-295 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1536.35374" data-ciurl="/ci/07829445" data-biburl="/bibtex/07829445.bib" data-amsurl="/amsrefs/07829445.bib" data-xmlurl="/xml/07829445.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07829445.pdf" title="Zbl 1536.35374 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/jiip-2023-0089" aria-label="DOI for “On the mean field games system with lateral Cauchy data via Carleman estimates”" title="10.1515/jiip-2023-0089">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.07556"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7826617" value="7826617" aria-label="mark item Zbl 1540.60165"></div> <div class="author"><a href="/authors/fehrman.benjamin-j" title="Author Profile">Fehrman, Benjamin</a>; <a href="/authors/gess.benjamin" title="Author Profile">Gess, Benjamin</a></div> <h3 class="title"> <a href="/1540.60165"><strong>Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.60165">Zbl 1540.60165</a> </h3> <div class="source"> <a href="/serials/37" title="Journal Profile">Arch. Ration. Mech. Anal.</a> <a href="/?q=in%3A508370" title="Articles in this Issue">248, No. 2, Paper No. 20, 60 p. (2024)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3620">Alexandra Rodkina (College Station)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60H40" title="White noise theory">60H40</a> <a class="mono" href="/classification/?q=cc%3A60H15" title="Stochastic partial differential equations (aspects of stochastic analysis)">60H15</a> <a class="mono" href="/classification/?q=cc%3A35R60" title="PDEs with randomness, stochastic partial differential equations">35R60</a> <a class="mono" href="/classification/?q=cc%3A60K35" title="Interacting random processes; statistical mechanics type models; percolation theory">60K35</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1540.60165" data-ciurl="/ci/07826617" data-biburl="/bibtex/07826617.bib" data-amsurl="/amsrefs/07826617.bib" data-xmlurl="/xml/07826617.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07826617.pdf" title="Zbl 1540.60165 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00205-024-01963-3" aria-label="DOI for “Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise”" title="10.1007/s00205-024-01963-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2108.08858"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7825627" value="7825627" aria-label="mark item Zbl 1549.35421"></div> <div class="author"><a href="/authors/mimikos-stamatopoulos.nikiforos" title="Author Profile">Mimikos-Stamatopoulos, Nikiforos</a></div> <h3 class="title"> <a href="/1549.35421"><strong>Weak and renormalized solutions to a hypoelliptic mean field games system.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1549.35421">Zbl 1549.35421</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A509786" title="Articles in this Issue">56, No. 2, 2312-2356 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q91" title="PDEs in connection with game theory, economics, social and behavioral sciences">35Q91</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35H10" title="Hypoelliptic equations">35H10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1549.35421" data-ciurl="/ci/07825627" data-biburl="/bibtex/07825627.bib" data-amsurl="/amsrefs/07825627.bib" data-xmlurl="/xml/07825627.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07825627.pdf" title="Zbl 1549.35421 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1497936" aria-label="DOI for “Weak and renormalized solutions to a hypoelliptic mean field games system”" title="10.1137/22M1497936">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2105.05777"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7814428" value="7814428" aria-label="mark item Zbl 1534.35404"></div> <div class="author"><a href="/authors/soner.halil-mete" title="Author Profile">Soner, H. Mete</a>; <a href="/authors/yan.qinxin" title="Author Profile">Yan, Qinxin</a></div> <h3 class="title"> <a href="/1534.35404"><strong>Viscosity solutions for McKean-Vlasov control on a torus.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1534.35404">Zbl 1534.35404</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A509600" title="Articles in this Issue">62, No. 2, 903-923 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A60G99" title="Stochastic processes">60G99</a> <a class="mono" href="/classification/?q=cc%3A90C15" title="Stochastic programming">90C15</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1534.35404" data-ciurl="/ci/07814428" data-biburl="/bibtex/07814428.bib" data-amsurl="/amsrefs/07814428.bib" data-xmlurl="/xml/07814428.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07814428.pdf" title="Zbl 1534.35404 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1543732" aria-label="DOI for “Viscosity solutions for McKean-Vlasov control on a torus”" title="10.1137/22M1543732">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.11053"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7808350" value="7808350" aria-label="mark item Zbl 1533.35340"></div> <div class="author"><a href="/authors/cesaroni.annalisa" title="Author Profile">Cesaroni, Annalisa</a>; <a href="/authors/cirant.marco" title="Author Profile">Cirant, Marco</a></div> <h3 class="title"> <a href="/1533.35340"><strong>Stationary equilibria and their stability in a Kuramoto MFG with strong interaction.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.35340">Zbl 1533.35340</a> </h3> <div class="source"> <a href="/serials/1566" title="Journal Profile">Commun. Partial Differ. Equations</a> <a href="/?q=in%3A509049" title="Articles in this Issue">49, No. 1-2, 121-147 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A92B25" title="Biological rhythms and synchronization">92B25</a> <a class="mono" href="/classification/?q=cc%3A82C26" title="Dynamic and nonequilibrium phase transitions (general) in statistical mechanics">82C26</a> <a class="mono" href="/classification/?q=cc%3A35B35" title="Stability in context of PDEs">35B35</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.35340" data-ciurl="/ci/07808350" data-biburl="/bibtex/07808350.bib" data-amsurl="/amsrefs/07808350.bib" data-xmlurl="/xml/07808350.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07808350.pdf" title="Zbl 1533.35340 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/03605302.2023.2300824" aria-label="DOI for “Stationary equilibria and their stability in a Kuramoto MFG with strong interaction”" title="10.1080/03605302.2023.2300824">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2307.09305"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7805303" value="7805303" aria-label="mark item Zbl 1533.35341"></div> <div class="author"><a href="/authors/correa.julio-c" title="Author Profile">Correa, Julio C.</a>; <a href="/authors/pimentel.edgard-a" title="Author Profile">Pimentel, Edgard A.</a></div> <h3 class="title"> <a href="/1533.35341"><strong>A Hessian-dependent functional with free boundaries and applications to mean-field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.35341">Zbl 1533.35341</a> </h3> <div class="source"> <a href="/serials/1392" title="Journal Profile">J. Geom. Anal.</a> <a href="/?q=in%3A507252" title="Articles in this Issue">34, No. 3, Paper No. 95, 21 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35B65" title="Smoothness and regularity of solutions to PDEs">35B65</a> <a class="mono" href="/classification/?q=cc%3A35R09" title="Integro-partial differential equations">35R09</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35R35" title="Free boundary problems for PDEs">35R35</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.35341" data-ciurl="/ci/07805303" data-biburl="/bibtex/07805303.bib" data-amsurl="/amsrefs/07805303.bib" data-xmlurl="/xml/07805303.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07805303.pdf" title="Zbl 1533.35341 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s12220-023-01542-0" aria-label="DOI for “A Hessian-dependent functional with free boundaries and applications to mean-field games”" title="10.1007/s12220-023-01542-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.00743"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7805240" value="7805240" aria-label="mark item Zbl 1534.91027"></div> <div class="author"><a href="/authors/sin.joshua" title="Author Profile">Sin, Joshua</a>; <a href="/authors/bonnes.john-w" title="Author Profile">Bonnes, John W.</a>; <a href="/authors/brown.luke-c" title="Author Profile">Brown, Luke C.</a>; <a href="/authors/ambrose.david-m" title="Author Profile">Ambrose, David M.</a></div> <h3 class="title"> <a href="/1534.91027"><strong>Existence and computation of stationary solutions for congestion-type mean field games via bifurcation theory and forward-forward problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1534.91027">Zbl 1534.91027</a> </h3> <div class="source"> <a href="/serials/7992" title="Journal Profile">J. Dyn. Games</a> <a href="/?q=in%3A508417" title="Articles in this Issue">11, No. 1, 48-62 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A14" title="Potential and congestion games">91A14</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1534.91027" data-ciurl="/ci/07805240" data-biburl="/bibtex/07805240.bib" data-amsurl="/amsrefs/07805240.bib" data-xmlurl="/xml/07805240.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07805240.pdf" title="Zbl 1534.91027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/jdg.2023014" aria-label="DOI for “Existence and computation of stationary solutions for congestion-type mean field games via bifurcation theory and forward-forward problems”" title="10.3934/jdg.2023014">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7803888" value="7803888" aria-label="mark item Zbl 1534.91028"></div> <div class="author"><a href="/authors/toumi.noureddine" title="Author Profile">Toumi, Noureddine</a>; <a href="/authors/malhame.roland-p" title="Author Profile">Malhamé, Roland</a>; <a href="/authors/le-ny.jerome" title="Author Profile">Le Ny, Jerome</a></div> <h3 class="title"> <a href="/1534.91028"><strong>A mean field game approach for a class of linear quadratic discrete choice problems with congestion avoidance.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1534.91028">Zbl 1534.91028</a> </h3> <div class="source"> <a href="/serials/348" title="Journal Profile">Automatica</a> <a href="/?q=in%3A508299" title="Articles in this Issue">160, Article ID 111420, 13 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A10" title="Noncooperative games">91A10</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93A16" title="Multi-agent systems">93A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1534.91028" data-ciurl="/ci/07803888" data-biburl="/bibtex/07803888.bib" data-amsurl="/amsrefs/07803888.bib" data-xmlurl="/xml/07803888.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07803888.pdf" title="Zbl 1534.91028 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.automatica.2023.111420" aria-label="DOI for “A mean field game approach for a class of linear quadratic discrete choice problems with congestion avoidance”" title="10.1016/j.automatica.2023.111420">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7794527" value="7794527" aria-label="mark item Zbl 1531.91028"></div> <div class="author"><a href="/authors/carlini.elisabetta" title="Author Profile">Carlini, Elisabetta</a>; <a href="/authors/silva.francisco-j" title="Author Profile">Silva, Francisco J.</a>; <a href="/authors/zorkot.ahmad" title="Author Profile">Zorkot, Ahmad</a></div> <h3 class="title"> <a href="/1531.91028"><strong>A Lagrange-Galerkin scheme for first order mean field game systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1531.91028">Zbl 1531.91028</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A507621" title="Articles in this Issue">62, No. 1, 167-198 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1531.91028" data-ciurl="/ci/07794527" data-biburl="/bibtex/07794527.bib" data-amsurl="/amsrefs/07794527.bib" data-xmlurl="/xml/07794527.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07794527.pdf" title="Zbl 1531.91028 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1561762" aria-label="DOI for “A Lagrange-Galerkin scheme for first order mean field game systems”" title="10.1137/23M1561762">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.14941"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7794526" value="7794526" aria-label="mark item Zbl 1531.91010"></div> <div class="author"><a href="/authors/osborne.yohance-a-p" title="Author Profile">Osborne, Yohance A. P.</a>; <a href="/authors/smears.iain" title="Author Profile">Smears, Iain</a></div> <h3 class="title"> <a href="/1531.91010"><strong>Analysis and numerical approximation of stationary second-order mean field game partial differential inclusions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1531.91010">Zbl 1531.91010</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A507621" title="Articles in this Issue">62, No. 1, 138-166 (2024)</a>; erratum ibid. 62, No. 5, 2415-2417 (2024). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91-08" title="Computational methods for problems pertaining to game theory, economics, and finance">91-08</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A82C31" title="Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics">82C31</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A93C10" title="Nonlinear systems in control theory">93C10</a> <a class="mono" href="/classification/?q=cc%3A35D30" title="Weak solutions to PDEs">35D30</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> <a class="mono" href="/classification/?q=cc%3A35Q93" title="PDEs in connection with control and optimization">35Q93</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1531.91010" data-ciurl="/ci/07794526" data-biburl="/bibtex/07794526.bib" data-amsurl="/amsrefs/07794526.bib" data-xmlurl="/xml/07794526.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07794526.pdf" title="Zbl 1531.91010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1519274" aria-label="DOI for “Analysis and numerical approximation of stationary second-order mean field game partial differential inclusions”" title="10.1137/22M1519274">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2209.00303"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7794520" value="7794520" aria-label="mark item Zbl 1552.60204"></div> <div class="author"><a href="/authors/han.jiequn" title="Author Profile">Han, Jiequn</a>; <a href="/authors/hu.ruimeng" title="Author Profile">Hu, Ruimeng</a>; <a href="/authors/long.jihao" title="Author Profile">Long, Jihao</a></div> <h3 class="title"> <a href="/1552.60204"><strong>Learning high-dimensional McKean-Vlasov forward-backward stochastic differential equations with general distribution dependence.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1552.60204">Zbl 1552.60204</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A507621" title="Articles in this Issue">62, No. 1, 1-24 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60H35" title="Computational methods for stochastic equations (aspects of stochastic analysis)">60H35</a> <a class="mono" href="/classification/?q=cc%3A60H10" title="Stochastic ordinary differential equations (aspects of stochastic analysis)">60H10</a> <a class="mono" href="/classification/?q=cc%3A68T07" title="Artificial neural networks and deep learning">68T07</a> <a class="mono" href="/classification/?q=cc%3A65M99" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65M99</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1552.60204" data-ciurl="/ci/07794520" data-biburl="/bibtex/07794520.bib" data-amsurl="/amsrefs/07794520.bib" data-xmlurl="/xml/07794520.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07794520.pdf" title="Zbl 1552.60204 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M151861X" aria-label="DOI for “Learning high-dimensional McKean-Vlasov forward-backward stochastic differential equations with general distribution dependence”" title="10.1137/22M151861X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2204.11924"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7785442" value="7785442" aria-label="mark item Zbl 1530.49029"></div> <div class="author"><a href="/authors/cosso.andrea" title="Author Profile">Cosso, Andrea</a>; <a href="/authors/gozzi.fausto" title="Author Profile">Gozzi, Fausto</a>; <a href="/authors/kharroubi.idris" title="Author Profile">Kharroubi, Idris</a>; <a href="/authors/pham.huyen" title="Author Profile">Pham, Huyên</a>; <a href="/authors/rosestolato.mauro" title="Author Profile">Rosestolato, Mauro</a></div> <h3 class="title"> <a href="/1530.49029"><strong>Master Bellman equation in the Wasserstein space: uniqueness of viscosity solutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1530.49029">Zbl 1530.49029</a> </h3> <div class="source"> <a href="/serials/744" title="Journal Profile">Trans. Am. Math. Soc.</a> <a href="/?q=in%3A506651" title="Articles in this Issue">377, No. 1, 31-83 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49K45" title="Optimality conditions for problems involving randomness">49K45</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35B51" title="Comparison principles in context of PDEs">35B51</a> <a class="mono" href="/classification/?q=cc%3A58E25" title="Applications of variational problems to control theory">58E25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1530.49029" data-ciurl="/ci/07785442" data-biburl="/bibtex/07785442.bib" data-amsurl="/amsrefs/07785442.bib" data-xmlurl="/xml/07785442.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07785442.pdf" title="Zbl 1530.49029 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/tran/8986" aria-label="DOI for “Master Bellman equation in the Wasserstein space: uniqueness of viscosity solutions”" title="10.1090/tran/8986">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.10535"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03295406" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7781629" value="7781629" aria-label="mark item Zbl 1529.35512"></div> <div class="author"><a href="/authors/porretta.alessio" title="Author Profile">Porretta, Alessio</a></div> <h3 class="title"> <a href="/1529.35512"><strong>Decay rates of convergence for Fokker-Planck equations with confining drift.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1529.35512">Zbl 1529.35512</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A506414" title="Articles in this Issue">436, Article ID 109393, 57 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> <a class="mono" href="/classification/?q=cc%3A35K15" title="Initial value problems for second-order parabolic equations">35K15</a> <a class="mono" href="/classification/?q=cc%3A47G20" title="Integro-differential operators">47G20</a> <a class="mono" href="/classification/?q=cc%3A41A25" title="Rate of convergence, degree of approximation">41A25</a> <a class="mono" href="/classification/?q=cc%3A60G51" title="Processes with independent increments; Lévy processes">60G51</a> <a class="mono" href="/classification/?q=cc%3A60G55" title="Point processes (e.g., Poisson, Cox, Hawkes processes)">60G55</a> <a class="mono" href="/classification/?q=cc%3A35B05" title="Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs">35B05</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1529.35512" data-ciurl="/ci/07781629" data-biburl="/bibtex/07781629.bib" data-amsurl="/amsrefs/07781629.bib" data-xmlurl="/xml/07781629.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07781629.pdf" title="Zbl 1529.35512 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2023.109393" aria-label="DOI for “Decay rates of convergence for Fokker-Planck equations with confining drift”" title="10.1016/j.aim.2023.109393">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.11090"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7762453" value="7762453" aria-label="mark item Zbl 1530.93553"></div> <div class="author"><a href="/authors/wu.zhen" title="Author Profile">Wu, Zhen</a>; <a href="/authors/zhang.yan.207" title="Author Profile">Zhang, Yan</a></div> <h3 class="title"> <a href="/1530.93553"><strong>Maximum principle for conditional mean-field FBSDEs systems with regime-switching involving impulse controls.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1530.93553">Zbl 1530.93553</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. Math. Anal. Appl.</a> <a href="/?q=in%3A504288" title="Articles in this Issue">530, No. 2, Article ID 127720, 25 p. (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A93C27" title="Impulsive control/observation systems">93C27</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> <a class="mono" href="/classification/?q=cc%3A91G10" title="Portfolio theory">91G10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1530.93553" data-ciurl="/ci/07762453" data-biburl="/bibtex/07762453.bib" data-amsurl="/amsrefs/07762453.bib" data-xmlurl="/xml/07762453.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07762453.pdf" title="Zbl 1530.93553 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmaa.2023.127720" aria-label="DOI for “Maximum principle for conditional mean-field FBSDEs systems with regime-switching involving impulse controls”" title="10.1016/j.jmaa.2023.127720">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item8014843" value="8014843" aria-label="mark item Zbl 08014843"></div> <div class="author"><a href="/authors/averboukh.yurii-vladimirovich" title="Author Profile">Averboukh, Yurii</a></div> <h3 class="title"> <a href="/8014843"><strong>Stability analysis of mean field type control system with major agent.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8014843">Zbl 08014843</a> </h3> <div class="source"> <a href="/serials/8188" title="Journal Profile">Commun. Optim. Theory</a> <a href="/?q=in%3A526104" title="Articles in this Issue">2023, Paper No. 16, 22 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A93-XX" title="Systems theory; control">93-XX</a> <a class="mono" href="/classification/?q=cc%3A37-XX" title="Dynamical systems and ergodic theory">37-XX</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08014843" data-ciurl="/ci/08014843" data-biburl="/bibtex/08014843.bib" data-amsurl="/amsrefs/08014843.bib" data-xmlurl="/xml/08014843.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08014843.pdf" title="Zbl 08014843 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.23952/cot.2023.16" aria-label="DOI for “Stability analysis of mean field type control system with major agent”" title="10.23952/cot.2023.16">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.05736"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7892619" value="7892619" aria-label="mark item Zbl 07892619"></div> <div class="author"><a href="/authors/liu.fengao" title="Author Profile">Liu, Fengao</a>; <a href="/authors/yu.mei" title="Author Profile">Yu, Mei</a>; <a href="/authors/wei.bo" title="Author Profile">Wei, Bo</a>; <a href="/authors/xiao.feng" title="Author Profile">Xiao, Feng</a></div> <h3 class="title"> <a href="/7892619"><strong>Mean field games of energy storage devices: a finite difference analysis.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7892619">Zbl 07892619</a> </h3> <div class="source"> <a href="/serials/7199" title="Journal Profile">Asian J. Control</a> <a href="/?q=in%3A515661" title="Articles in this Issue">25, No. 6, 4747-4758 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07892619" data-ciurl="/ci/07892619" data-biburl="/bibtex/07892619.bib" data-amsurl="/amsrefs/07892619.bib" data-xmlurl="/xml/07892619.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07892619.pdf" title="Zbl 07892619 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/asjc.3161" aria-label="DOI for “Mean field games of energy storage devices: a finite difference analysis”" title="10.1002/asjc.3161">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7892594" value="7892594" aria-label="mark item Zbl 07892594"></div> <div class="author"><a href="/authors/xu.ruimin" title="Author Profile">Xu, Ruimin</a>; <a href="/authors/wu.tingting.5" title="Author Profile">Wu, Tingting</a></div> <h3 class="title"> <a href="/7892594"><strong>Risk-sensitive large-population linear-quadratic-Gaussian games with major and minor agents.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7892594">Zbl 07892594</a> </h3> <div class="source"> <a href="/serials/7199" title="Journal Profile">Asian J. Control</a> <a href="/?q=in%3A515661" title="Articles in this Issue">25, No. 6, 4391-4403 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A25" title="Dynamic games">91A25</a> <a class="mono" href="/classification/?q=cc%3A93A14" title="Decentralized systems">93A14</a> <a class="mono" href="/classification/?q=cc%3A93E03" title="Stochastic systems in control theory (general)">93E03</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07892594" data-ciurl="/ci/07892594" data-biburl="/bibtex/07892594.bib" data-amsurl="/amsrefs/07892594.bib" data-xmlurl="/xml/07892594.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07892594.pdf" title="Zbl 07892594 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/asjc.3106" aria-label="DOI for “Risk-sensitive large-population linear-quadratic-Gaussian games with major and minor agents”" title="10.1002/asjc.3106">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7826401" value="7826401" aria-label="mark item Zbl 1536.35331"></div> <div class="author"><a href="/authors/klibanov.michael-victor" title="Author Profile">Klibanov, Michael V.</a>; <a href="/authors/li.jingzhi" title="Author Profile">Li, Jingzhi</a>; <a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a></div> <h3 class="title"> <a href="/1536.35331"><strong>Hölder stability and uniqueness for the mean field games system via Carleman estimates.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1536.35331">Zbl 1536.35331</a> </h3> <div class="source"> <a href="/serials/724" title="Journal Profile">Stud. Appl. Math.</a> <a href="/?q=in%3A510442" title="Articles in this Issue">151, No. 4, 1447-1470 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35R25" title="Ill-posed problems for PDEs">35R25</a> <a class="mono" href="/classification/?q=cc%3A35K10" title="Second-order parabolic equations">35K10</a> <a class="mono" href="/classification/?q=cc%3A35K61" title="Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations">35K61</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1536.35331" data-ciurl="/ci/07826401" data-biburl="/bibtex/07826401.bib" data-amsurl="/amsrefs/07826401.bib" data-xmlurl="/xml/07826401.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07826401.pdf" title="Zbl 1536.35331 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1111/sapm.12633" aria-label="DOI for “Hölder stability and uniqueness for the mean field games system via Carleman estimates”" title="10.1111/sapm.12633">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2304.00646"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7823081" value="7823081" aria-label="mark item Zbl 1533.91041"></div> <div class="author"><a href="/authors/cardaliaguet.pierre" title="Author Profile">Cardaliaguet, Pierre</a>; <a href="/authors/delarue.francois" title="Author Profile">Delarue, François</a></div> <h3 class="title"> <a href="/1533.91041"><strong>Selected topics in mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.91041">Zbl 1533.91041</a> </h3> <div class="source"> Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3660-3703 (2023). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.91041" data-ciurl="/ci/07823081" data-biburl="/bibtex/07823081.bib" data-amsurl="/amsrefs/07823081.bib" data-xmlurl="/xml/07823081.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07823081.pdf" title="Zbl 1533.91041 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/ICM2022/17" aria-label="DOI for “Selected topics in mean field games”" title="10.4171/ICM2022/17">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7780693" value="7780693" aria-label="mark item Zbl 1543.60061"></div> <div class="author"><a href="/authors/cheng.xianjin" title="Author Profile">Cheng, Xianjin</a>; <a href="/authors/liu.zhenxin" title="Author Profile">Liu, Zhenxin</a></div> <h3 class="title"> <a href="/1543.60061"><strong>The locally homeomorphic property of McKean-Vlasov SDEs under the global Lipschitz condition.</strong></a> <i>(English. French summary)</i> <a class="label nowrap" href="/1543.60061">Zbl 1543.60061</a> </h3> <div class="source"> <a href="/serials/1597" title="Journal Profile">J. Math. Pures Appl. (9)</a> <a href="/?q=in%3A506367" title="Articles in this Issue">180, 97-121 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A19376">Latifa Debbi (M’Sila)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60H10" title="Stochastic ordinary differential equations (aspects of stochastic analysis)">60H10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1543.60061" data-ciurl="/ci/07780693" data-biburl="/bibtex/07780693.bib" data-amsurl="/amsrefs/07780693.bib" data-xmlurl="/xml/07780693.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07780693.pdf" title="Zbl 1543.60061 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.matpur.2023.10.007" aria-label="DOI for “The locally homeomorphic property of McKean-Vlasov SDEs under the global Lipschitz condition”" title="10.1016/j.matpur.2023.10.007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2306.09833"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7771778" value="7771778" aria-label="mark item Zbl 1530.91530"></div> <div class="author"><a href="/authors/lei.qian" title="Author Profile">Lei, Qian</a>; <a href="/authors/pun.chi-seng" title="Author Profile">Pun, Chi Seng</a></div> <h3 class="title"> <a href="/1530.91530"><strong>An extended McKean-Vlasov dynamic programming approach to robust equilibrium controls under ambiguous covariance matrix.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1530.91530">Zbl 1530.91530</a> </h3> <div class="source"> <a href="/serials/333" title="Journal Profile">Appl. Math. Optim.</a> <a href="/?q=in%3A502121" title="Articles in this Issue">88, No. 3, Paper No. 91, 46 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91G10" title="Portfolio theory">91G10</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A49L20" title="Dynamic programming in optimal control and differential games">49L20</a> <a class="mono" href="/classification/?q=cc%3A91A11" title="Equilibrium refinements">91A11</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1530.91530" data-ciurl="/ci/07771778" data-biburl="/bibtex/07771778.bib" data-amsurl="/amsrefs/07771778.bib" data-xmlurl="/xml/07771778.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07771778.pdf" title="Zbl 1530.91530 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00245-023-10069-3" aria-label="DOI for “An extended McKean-Vlasov dynamic programming approach to robust equilibrium controls under ambiguous covariance matrix”" title="10.1007/s00245-023-10069-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7771528" value="7771528" aria-label="mark item Zbl 1533.93839"></div> <div class="author"><a href="/authors/cardaliaguet.pierre" title="Author Profile">Cardaliaguet, Pierre</a>; <a href="/authors/daudin.samuel" title="Author Profile">Daudin, Samuel</a>; <a href="/authors/jackson.joe" title="Author Profile">Jackson, Joe</a>; <a href="/authors/souganidis.panagiotis-e" title="Author Profile">Souganidis, Panagiotis E.</a></div> <h3 class="title"> <a href="/1533.93839"><strong>An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.93839">Zbl 1533.93839</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A504481" title="Articles in this Issue">61, No. 6, 3341-3369 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A14266">Hector Jasso (Ciudad de México)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> <a class="mono" href="/classification/?q=cc%3A93B25" title="Algebraic methods">93B25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.93839" data-ciurl="/ci/07771528" data-biburl="/bibtex/07771528.bib" data-amsurl="/amsrefs/07771528.bib" data-xmlurl="/xml/07771528.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07771528.pdf" title="Zbl 1533.93839 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1486789" aria-label="DOI for “An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics”" title="10.1137/22M1486789">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2203.14554"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03618944" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7762589" value="7762589" aria-label="mark item Zbl 1527.35427"></div> <div class="author"><a href="/authors/carmona.rene-a" title="Author Profile">Carmona, Rene</a>; <a href="/authors/cormier.quentin" title="Author Profile">Cormier, Quentin</a>; <a href="/authors/soner.halil-mete" title="Author Profile">Soner, H. Mete</a></div> <h3 class="title"> <a href="/1527.35427"><strong>Synchronization in a Kuramoto mean field game.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1527.35427">Zbl 1527.35427</a> </h3> <div class="source"> <a href="/serials/1566" title="Journal Profile">Commun. Partial Differ. Equations</a> <a href="/?q=in%3A504295" title="Articles in this Issue">48, No. 9, 1214-1244 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A93E03" title="Stochastic systems in control theory (general)">93E03</a> <a class="mono" href="/classification/?q=cc%3A35B32" title="Bifurcations in context of PDEs">35B32</a> <a class="mono" href="/classification/?q=cc%3A35R60" title="PDEs with randomness, stochastic partial differential equations">35R60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1527.35427" data-ciurl="/ci/07762589" data-biburl="/bibtex/07762589.bib" data-amsurl="/amsrefs/07762589.bib" data-xmlurl="/xml/07762589.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07762589.pdf" title="Zbl 1527.35427 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/03605302.2023.2264611" aria-label="DOI for “Synchronization in a Kuramoto mean field game”" title="10.1080/03605302.2023.2264611">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.12912"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7758726" value="7758726" aria-label="mark item Zbl 1526.49019"></div> <div class="author"><a href="/authors/seguret.adrien" title="Author Profile">Séguret, Adrien</a></div> <h3 class="title"> <a href="/1526.49019"><strong>Mean field approximation of an optimal control problem for the continuity equation arising in smart charging.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1526.49019">Zbl 1526.49019</a> </h3> <div class="source"> <a href="/serials/333" title="Journal Profile">Appl. Math. Optim.</a> <a href="/?q=in%3A502121" title="Articles in this Issue">88, No. 3, Paper No. 79, 44 p. (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10228">Alain Brillard (Riedisheim)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49K21" title="Optimality conditions for problems involving relations other than differential equations">49K21</a> <a class="mono" href="/classification/?q=cc%3A92D25" title="Population dynamics (general)">92D25</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49J45" title="Methods involving semicontinuity and convergence; relaxation">49J45</a> <a class="mono" href="/classification/?q=cc%3A49N60" title="Regularity of solutions in optimal control">49N60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1526.49019" data-ciurl="/ci/07758726" data-biburl="/bibtex/07758726.bib" data-amsurl="/amsrefs/07758726.bib" data-xmlurl="/xml/07758726.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07758726.pdf" title="Zbl 1526.49019 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00245-023-10054-w" aria-label="DOI for “Mean field approximation of an optimal control problem for the continuity equation arising in smart charging”" title="10.1007/s00245-023-10054-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03910634" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7753213" value="7753213" aria-label="mark item Zbl 1527.49030"></div> <div class="author"><a href="/authors/bonnans.joseph-frederic" title="Author Profile">Bonnans, J. Frédéric</a>; <a href="/authors/lavigne.pierre" title="Author Profile">Lavigne, Pierre</a>; <a href="/authors/pfeiffer.laurent" title="Author Profile">Pfeiffer, Laurent</a></div> <h3 class="title"> <a href="/1527.49030"><strong>Discrete potential mean field games: duality and numerical resolution.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1527.49030">Zbl 1527.49030</a> </h3> <div class="source"> <a href="/serials/1746" title="Journal Profile">Math. Program.</a> <a href="/?q=in%3A503380" title="Articles in this Issue">202, No. 1-2 (A), 241-278 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A15038">Sorin-Mihai Grad (Paris)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A49N15" title="Duality theory (optimization)">49N15</a> <a class="mono" href="/classification/?q=cc%3A90C25" title="Convex programming">90C25</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A50" title="Discrete-time games">91A50</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1527.49030" data-ciurl="/ci/07753213" data-biburl="/bibtex/07753213.bib" data-amsurl="/amsrefs/07753213.bib" data-xmlurl="/xml/07753213.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07753213.pdf" title="Zbl 1527.49030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10107-023-01934-8" aria-label="DOI for “Discrete potential mean field games: duality and numerical resolution”" title="10.1007/s10107-023-01934-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2106.07463"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03260057" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7741493" value="7741493" aria-label="mark item Zbl 1522.91040"></div> <div class="author"><a href="/authors/capuani.rossana" title="Author Profile">Capuani, Rossana</a>; <a href="/authors/marigonda.antonio" title="Author Profile">Marigonda, Antonio</a>; <a href="/authors/ricciardi.michele" title="Author Profile">Ricciardi, Michele</a></div> <h3 class="title"> <a href="/1522.91040"><strong>Random lift of set valued maps and applications to multiagent dynamics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.91040">Zbl 1522.91040</a> </h3> <div class="source"> <a href="/serials/6827" title="Journal Profile">Set-Valued Var. Anal.</a> <a href="/?q=in%3A500095" title="Articles in this Issue">31, No. 3, Paper No. 28, 41 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A93A16" title="Multi-agent systems">93A16</a> <a class="mono" href="/classification/?q=cc%3A28B20" title="Set-valued set functions and measures; integration of set-valued functions; measurable selections">28B20</a> <a class="mono" href="/classification/?q=cc%3A54C60" title="Set-valued maps in general topology">54C60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.91040" data-ciurl="/ci/07741493" data-biburl="/bibtex/07741493.bib" data-amsurl="/amsrefs/07741493.bib" data-xmlurl="/xml/07741493.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07741493.pdf" title="Zbl 1522.91040 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11228-023-00693-0" aria-label="DOI for “Random lift of set valued maps and applications to multiagent dynamics”" title="10.1007/s11228-023-00693-0">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7738473" value="7738473" aria-label="mark item Zbl 1522.60015"></div> <div class="author"><a href="/authors/han.jiequn" title="Author Profile">Han, Jiequn</a>; <a href="/authors/hu.ruimeng" title="Author Profile">Hu, Ruimeng</a>; <a href="/authors/long.jihao" title="Author Profile">Long, Jihao</a></div> <h3 class="title"> <a href="/1522.60015"><strong>A class of dimension-free metrics for the convergence of empirical measures.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.60015">Zbl 1522.60015</a> </h3> <div class="source"> <a href="/serials/1642" title="Journal Profile">Stochastic Processes Appl.</a> <a href="/?q=in%3A502060" title="Articles in this Issue">164, 242-287 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60B10" title="Convergence of probability measures">60B10</a> <a class="mono" href="/classification/?q=cc%3A60E15" title="Inequalities; stochastic orderings">60E15</a> <a class="mono" href="/classification/?q=cc%3A60K35" title="Interacting random processes; statistical mechanics type models; percolation theory">60K35</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A60H10" title="Stochastic ordinary differential equations (aspects of stochastic analysis)">60H10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.60015" data-ciurl="/ci/07738473" data-biburl="/bibtex/07738473.bib" data-amsurl="/amsrefs/07738473.bib" data-xmlurl="/xml/07738473.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07738473.pdf" title="Zbl 1522.60015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.spa.2023.07.009" aria-label="DOI for “A class of dimension-free metrics for the convergence of empirical measures”" title="10.1016/j.spa.2023.07.009">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2104.12036"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7738472" value="7738472" aria-label="mark item Zbl 1528.91008"></div> <div class="author"><a href="/authors/burzoni.matteo" title="Author Profile">Burzoni, Matteo</a>; <a href="/authors/campi.luciano" title="Author Profile">Campi, Luciano</a></div> <h3 class="title"> <a href="/1528.91008"><strong>Mean field games with absorption and common noise with a model of bank run.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1528.91008">Zbl 1528.91008</a> </h3> <div class="source"> <a href="/serials/1642" title="Journal Profile">Stochastic Processes Appl.</a> <a href="/?q=in%3A502060" title="Articles in this Issue">164, 206-241 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> <a class="mono" href="/classification/?q=cc%3A91G99" title="Actuarial science and mathematical finance">91G99</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1528.91008" data-ciurl="/ci/07738472" data-biburl="/bibtex/07738472.bib" data-amsurl="/amsrefs/07738472.bib" data-xmlurl="/xml/07738472.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07738472.pdf" title="Zbl 1528.91008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.spa.2023.07.007" aria-label="DOI for “Mean field games with absorption and common noise with a model of bank run”" title="10.1016/j.spa.2023.07.007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.00603"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7734428" value="7734428" aria-label="mark item Zbl 1521.49027"></div> <div class="author"><a href="/authors/fujii.masaaki" title="Author Profile">Fujii, Masaaki</a></div> <h3 class="title"> <a href="/1521.49027"><strong>Equilibrium pricing of securities in the co-presence of cooperative and non-cooperative populations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1521.49027">Zbl 1521.49027</a> </h3> <div class="source"> <a href="/serials/2308" title="Journal Profile">ESAIM, Control Optim. Calc. Var.</a> <a href="/?q=in%3A493193" title="Articles in this Issue">29, Paper No. 56, 39 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91B24" title="Microeconomic theory (price theory and economic markets)">91B24</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1521.49027" data-ciurl="/ci/07734428" data-biburl="/bibtex/07734428.bib" data-amsurl="/amsrefs/07734428.bib" data-xmlurl="/xml/07734428.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07734428.pdf" title="Zbl 1521.49027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/cocv/2023049" aria-label="DOI for “Equilibrium pricing of securities in the co-presence of cooperative and non-cooperative populations”" title="10.1051/cocv/2023049">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2209.12639"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7731452" value="7731452" aria-label="mark item Zbl 1522.35513"></div> <div class="author"><a href="/authors/ricciardi.michele" title="Author Profile">Ricciardi, Michele</a></div> <h3 class="title"> <a href="/1522.35513"><strong>The convergence problem in mean field games with Neumann boundary conditions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.35513">Zbl 1522.35513</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A499833" title="Articles in this Issue">55, No. 4, 3316-3343 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A15" title="Stochastic games, stochastic differential games">91A15</a> <a class="mono" href="/classification/?q=cc%3A91A06" title="$n$-person games, $n>2$">91A06</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35B65" title="Smoothness and regularity of solutions to PDEs">35B65</a> <a class="mono" href="/classification/?q=cc%3A60J65" title="Brownian motion">60J65</a> <a class="mono" href="/classification/?q=cc%3A93B52" title="Feedback control">93B52</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.35513" data-ciurl="/ci/07731452" data-biburl="/bibtex/07731452.bib" data-amsurl="/amsrefs/07731452.bib" data-xmlurl="/xml/07731452.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07731452.pdf" title="Zbl 1522.35513 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1479075" aria-label="DOI for “The convergence problem in mean field games with Neumann boundary conditions”" title="10.1137/22M1479075">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2203.07882"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7729127" value="7729127" aria-label="mark item Zbl 1521.35018"></div> <div class="author"><a href="/authors/mendico.cristian" title="Author Profile">Mendico, Cristian</a></div> <h3 class="title"> <a href="/1521.35018"><strong>A singular perturbation problem for mean field games of acceleration: application to mean field games of control.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1521.35018">Zbl 1521.35018</a> </h3> <div class="source"> <a href="/serials/2804" title="Journal Profile">J. Evol. Equ.</a> <a href="/?q=in%3A499918" title="Articles in this Issue">23, No. 3, Paper No. 56, 27 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35B25" title="Singular perturbations in context of PDEs">35B25</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1521.35018" data-ciurl="/ci/07729127" data-biburl="/bibtex/07729127.bib" data-amsurl="/amsrefs/07729127.bib" data-xmlurl="/xml/07729127.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07729127.pdf" title="Zbl 1521.35018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00028-023-00905-y" aria-label="DOI for “A singular perturbation problem for mean field games of acceleration: application to mean field games of control”" title="10.1007/s00028-023-00905-y">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.08479"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7720490" value="7720490" aria-label="mark item Zbl 1519.49026"></div> <div class="author"><a href="/authors/lacker.daniel" title="Author Profile">Lacker, Daniel</a>; <a href="/authors/le-flem.luc" title="Author Profile">Le Flem, Luc</a></div> <h3 class="title"> <a href="/1519.49026"><strong>Closed-loop convergence for mean field games with common noise.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1519.49026">Zbl 1519.49026</a> </h3> <div class="source"> <a href="/serials/1375" title="Journal Profile">Ann. Appl. Probab.</a> <a href="/?q=in%3A500345" title="Articles in this Issue">33, No. 4, 2681-2733 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A06" title="$n$-person games, $n>2$">91A06</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1519.49026" data-ciurl="/ci/07720490" data-biburl="/bibtex/07720490.bib" data-amsurl="/amsrefs/07720490.bib" data-xmlurl="/xml/07720490.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07720490.pdf" title="Zbl 1519.49026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1214/22-AAP1876" aria-label="DOI for “Closed-loop convergence for mean field games with common noise”" title="10.1214/22-AAP1876">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.03273"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/journals/annals-of-applied-probability/volume-33/issue-4/Closed-loop-convergence-for-mean-field-games-with-common-noise/10.1214/22-AAP1876.full" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7714604" value="7714604" aria-label="mark item Zbl 1522.35511"></div> <div class="author"><a href="/authors/cardaliaguet.pierre" title="Author Profile">Cardaliaguet, Pierre</a>; <a href="/authors/cirant.marco" title="Author Profile">Cirant, Marco</a>; <a href="/authors/porretta.alessio" title="Author Profile">Porretta, Alessio</a></div> <h3 class="title"> <a href="/1522.35511"><strong>Splitting methods and short time existence for the master equations in mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.35511">Zbl 1522.35511</a> </h3> <div class="source"> <a href="/serials/2579" title="Journal Profile">J. Eur. Math. Soc. (JEMS)</a> <a href="/?q=in%3A499822" title="Articles in this Issue">25, No. 5, 1823-1918 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A35K55" title="Nonlinear parabolic equations">35K55</a> <a class="mono" href="/classification/?q=cc%3A49N70" title="Differential games and control">49N70</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35R06" title="PDEs with measure">35R06</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.35511" data-ciurl="/ci/07714604" data-biburl="/bibtex/07714604.bib" data-amsurl="/amsrefs/07714604.bib" data-xmlurl="/xml/07714604.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07714604.pdf" title="Zbl 1522.35511 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/JEMS/1227" aria-label="DOI for “Splitting methods and short time existence for the master equations in mean field games”" title="10.4171/JEMS/1227">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.10406"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7713378" value="7713378" aria-label="mark item Zbl 1523.37079"></div> <div class="author"><a href="/authors/iturriaga.renato" title="Author Profile">Iturriaga, Renato</a>; <a href="/authors/wang.kaizhi" title="Author Profile">Wang, Kaizhi</a></div> <h3 class="title"> <a href="/1523.37079"><strong>A discrete weak KAM method for first-order stationary mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1523.37079">Zbl 1523.37079</a> </h3> <div class="source"> <a href="/serials/2997" title="Journal Profile">SIAM J. Appl. Dyn. Syst.</a> <a href="/?q=in%3A499079" title="Articles in this Issue">22, No. 2, 1253-1274 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A37K55" title="Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems">37K55</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A39A12" title="Discrete version of topics in analysis">39A12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1523.37079" data-ciurl="/ci/07713378" data-biburl="/bibtex/07713378.bib" data-amsurl="/amsrefs/07713378.bib" data-xmlurl="/xml/07713378.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07713378.pdf" title="Zbl 1523.37079 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1508212" aria-label="DOI for “A discrete weak KAM method for first-order stationary mean field games”" title="10.1137/22M1508212">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7712217" value="7712217" aria-label="mark item Zbl 1515.60202"></div> <div class="author"><a href="/authors/li.min.27" title="Author Profile">Li, Min</a>; <a href="/authors/nie.tianyang" title="Author Profile">Nie, Tianyang</a>; <a href="/authors/wu.zhen" title="Author Profile">Wu, Zhen</a></div> <h3 class="title"> <a href="/1515.60202"><strong>Linear-quadratic large-population problem with partial information: Hamiltonian approach and Riccati approach.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.60202">Zbl 1515.60202</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A499355" title="Articles in this Issue">61, No. 4, 2114-2139 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A60H10" title="Stochastic ordinary differential equations (aspects of stochastic analysis)">60H10</a> <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A91A15" title="Stochastic games, stochastic differential games">91A15</a> <a class="mono" href="/classification/?q=cc%3A49N10" title="Linear-quadratic optimal control problems">49N10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1515.60202" data-ciurl="/ci/07712217" data-biburl="/bibtex/07712217.bib" data-amsurl="/amsrefs/07712217.bib" data-xmlurl="/xml/07712217.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07712217.pdf" title="Zbl 1515.60202 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/21M1414152" aria-label="DOI for “Linear-quadratic large-population problem with partial information: Hamiltonian approach and Riccati approach”" title="10.1137/21M1414152">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2203.10481"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7708894" value="7708894" aria-label="mark item Zbl 1518.35677"></div> <div class="author"><a href="/authors/klibanov.michael-victor" title="Author Profile">Klibanov, Michael V.</a></div> <h3 class="title"> <a href="/1518.35677"><strong>The mean field games system: Carleman estimates, Lipschitz stability and uniqueness.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1518.35677">Zbl 1518.35677</a> </h3> <div class="source"> <a href="/serials/2061" title="Journal Profile">J. Inverse Ill-Posed Probl.</a> <a href="/?q=in%3A498997" title="Articles in this Issue">31, No. 3, 455-466 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1518.35677" data-ciurl="/ci/07708894" data-biburl="/bibtex/07708894.bib" data-amsurl="/amsrefs/07708894.bib" data-xmlurl="/xml/07708894.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07708894.pdf" title="Zbl 1518.35677 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/jiip-2023-0023" aria-label="DOI for “The mean field games system: Carleman estimates, Lipschitz stability and uniqueness”" title="10.1515/jiip-2023-0023">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.03928"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7708657" value="7708657" aria-label="mark item Zbl 1520.91052"></div> <div class="author"><a href="/authors/wang.haiyang.1" title="Author Profile">Wang, Haiyang</a>; <a href="/authors/xu.ruimin" title="Author Profile">Xu, Ruimin</a></div> <h3 class="title"> <a href="/1520.91052"><strong>Time-inconsistent LQ games for large-population systems and applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.91052">Zbl 1520.91052</a> </h3> <div class="source"> <a href="/serials/515" title="Journal Profile">J. Optim. Theory Appl.</a> <a href="/?q=in%3A498980" title="Articles in this Issue">197, No. 3, 1249-1268 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N10" title="Linear-quadratic optimal control problems">49N10</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.91052" data-ciurl="/ci/07708657" data-biburl="/bibtex/07708657.bib" data-amsurl="/amsrefs/07708657.bib" data-xmlurl="/xml/07708657.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07708657.pdf" title="Zbl 1520.91052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10957-023-02223-2" aria-label="DOI for “Time-inconsistent LQ games for large-population systems and applications”" title="10.1007/s10957-023-02223-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7707950" value="7707950" aria-label="mark item Zbl 1520.91047"></div> <div class="author"><a href="/authors/bayraktar.erhan" title="Author Profile">Bayraktar, Erhan</a>; <a href="/authors/wu.ruoyu" title="Author Profile">Wu, Ruoyu</a>; <a href="/authors/zhang.xin.6" title="Author Profile">Zhang, Xin</a></div> <h3 class="title"> <a href="/1520.91047"><strong>Propagation of chaos of forward-backward stochastic differential equations with graphon interactions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.91047">Zbl 1520.91047</a> </h3> <div class="source"> <a href="/serials/333" title="Journal Profile">Appl. Math. Optim.</a> <a href="/?q=in%3A496025" title="Articles in this Issue">88, No. 1, Paper No. 25, 44 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> <a class="mono" href="/classification/?q=cc%3A91A06" title="$n$-person games, $n>2$">91A06</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.91047" data-ciurl="/ci/07707950" data-biburl="/bibtex/07707950.bib" data-amsurl="/amsrefs/07707950.bib" data-xmlurl="/xml/07707950.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07707950.pdf" title="Zbl 1520.91047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00245-023-09996-y" aria-label="DOI for “Propagation of chaos of forward-backward stochastic differential equations with graphon interactions”" title="10.1007/s00245-023-09996-y">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2202.08163"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7707933" value="7707933" aria-label="mark item Zbl 1520.93606"></div> <div class="author"><a href="/authors/bao.xiaofan" title="Author Profile">Bao, Xiaofan</a>; <a href="/authors/tang.shanjian" title="Author Profile">Tang, Shanjian</a></div> <h3 class="title"> <a href="/1520.93606"><strong>Ergodic control of McKean-Vlasov SDEs and associated Bellman equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.93606">Zbl 1520.93606</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. Math. Anal. Appl.</a> <a href="/?q=in%3A498940" title="Articles in this Issue">527, No. 1, Part 1, Article ID 127404, 28 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A93E20" title="Optimal stochastic control">93E20</a> <a class="mono" href="/classification/?q=cc%3A60H30" title="Applications of stochastic analysis (to PDEs, etc.)">60H30</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> <a class="mono" href="/classification/?q=cc%3A49L12" title="Hamilton-Jacobi equations in optimal control and differential games">49L12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.93606" data-ciurl="/ci/07707933" data-biburl="/bibtex/07707933.bib" data-amsurl="/amsrefs/07707933.bib" data-xmlurl="/xml/07707933.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07707933.pdf" title="Zbl 1520.93606 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmaa.2023.127404" aria-label="DOI for “Ergodic control of McKean-Vlasov SDEs and associated Bellman equation”" title="10.1016/j.jmaa.2023.127404">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7707681" value="7707681" aria-label="mark item Zbl 1520.91050"></div> <div class="author"><a href="/authors/liu.hongyu" title="Author Profile">Liu, Hongyu</a>; <a href="/authors/mou.chenchen" title="Author Profile">Mou, Chenchen</a>; <a href="/authors/zhang.shen" title="Author Profile">Zhang, Shen</a></div> <h3 class="title"> <a href="/1520.91050"><strong>Inverse problems for mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.91050">Zbl 1520.91050</a> </h3> <div class="source"> <a href="/serials/112" title="Journal Profile">Inverse Probl.</a> <a href="/?q=in%3A498929" title="Articles in this Issue">39, No. 8, Article ID 085003, 28 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.91050" data-ciurl="/ci/07707681" data-biburl="/bibtex/07707681.bib" data-amsurl="/amsrefs/07707681.bib" data-xmlurl="/xml/07707681.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07707681.pdf" title="Zbl 1520.91050 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/1361-6420/acdd90" aria-label="DOI for “Inverse problems for mean field games”" title="10.1088/1361-6420/acdd90">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2205.11350"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7707463" value="7707463" aria-label="mark item Zbl 1520.91046"></div> <div class="author"><a href="/authors/aberkane.samir" title="Author Profile">Aberkane, Samir</a>; <a href="/authors/dragan.vasile" title="Author Profile">Dragan, Vasile</a></div> <h3 class="title"> <a href="/1520.91046"><strong>An addendum to the problem of zero-sum LQ stochastic mean-field dynamic games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.91046">Zbl 1520.91046</a> </h3> <div class="source"> <a href="/serials/348" title="Journal Profile">Automatica</a> <a href="/?q=in%3A498915" title="Articles in this Issue">153, Article ID 111007, 8 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A10" title="Noncooperative games">91A10</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.91046" data-ciurl="/ci/07707463" data-biburl="/bibtex/07707463.bib" data-amsurl="/amsrefs/07707463.bib" data-xmlurl="/xml/07707463.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07707463.pdf" title="Zbl 1520.91046 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.automatica.2023.111007" aria-label="DOI for “An addendum to the problem of zero-sum LQ stochastic mean-field dynamic games”" title="10.1016/j.automatica.2023.111007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.09609"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7706101" value="7706101" aria-label="mark item Zbl 1517.49023"></div> <div class="author"><a href="/authors/bagagiolo.fabio" title="Author Profile">Bagagiolo, Fabio</a>; <a href="/authors/marzufero.luciano" title="Author Profile">Marzufero, Luciano</a></div> <h3 class="title"> <a href="/1517.49023"><strong>A time-dependent switching mean-field game on networks motivated by optimal visiting problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1517.49023">Zbl 1517.49023</a> </h3> <div class="source"> <a href="/serials/7992" title="Journal Profile">J. Dyn. Games</a> <a href="/?q=in%3A498837" title="Articles in this Issue">10, No. 2, 151-180 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16409">Savin Treanţă (Bucureşti)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A05C21" title="Flows in graphs">05C21</a> <a class="mono" href="/classification/?q=cc%3A49N25" title="Impulsive optimal control problems">49N25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1517.49023" data-ciurl="/ci/07706101" data-biburl="/bibtex/07706101.bib" data-amsurl="/amsrefs/07706101.bib" data-xmlurl="/xml/07706101.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07706101.pdf" title="Zbl 1517.49023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/jdg.2022019" aria-label="DOI for “A time-dependent switching mean-field game on networks motivated by optimal visiting problems”" title="10.3934/jdg.2022019">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2201.00260"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7706095" value="7706095" aria-label="mark item Zbl 1519.35106"></div> <div class="author"><a href="/authors/bakaryan.tigran-k" title="Author Profile">Bakaryan, Tigran</a>; <a href="/authors/gomes.diogo-luis-aguiar" title="Author Profile">Gomes, Diogo</a>; <a href="/authors/sanchez-morgado.hector" title="Author Profile">Morgado, Héctor Sánchez</a></div> <h3 class="title"> <a href="/1519.35106"><strong>Discrete approximation of stationary mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1519.35106">Zbl 1519.35106</a> </h3> <div class="source"> <a href="/serials/7992" title="Journal Profile">J. Dyn. Games</a> <a href="/?q=in%3A498836" title="Articles in this Issue">10, No. 1, 24-48 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J47" title="Second-order elliptic systems">35J47</a> <a class="mono" href="/classification/?q=cc%3A35J62" title="Quasilinear elliptic equations">35J62</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1519.35106" data-ciurl="/ci/07706095" data-biburl="/bibtex/07706095.bib" data-amsurl="/amsrefs/07706095.bib" data-xmlurl="/xml/07706095.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07706095.pdf" title="Zbl 1519.35106 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/jdg.2022022" aria-label="DOI for “Discrete approximation of stationary mean field games”" title="10.3934/jdg.2022022">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2109.12611"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7697858" value="7697858" aria-label="mark item Zbl 1516.49037"></div> <div class="author"><a href="/authors/averboukh.yurii-vladimirovich" title="Author Profile">Averboukh, Yurii</a></div> <h3 class="title"> <a href="/1516.49037"><strong>Control theory approach to continuous-time finite state mean field games.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1516.49037">Zbl 1516.49037</a> </h3> <div class="source"> <a href="/serials/7354" title="Journal Profile">Math. Control Relat. Fields</a> <a href="/?q=in%3A498135" title="Articles in this Issue">13, No. 3, 1109-1130 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49J45" title="Methods involving semicontinuity and convergence; relaxation">49J45</a> <a class="mono" href="/classification/?q=cc%3A60J27" title="Continuous-time Markov processes on discrete state spaces">60J27</a> <a class="mono" href="/classification/?q=cc%3A34H05" title="Control problems involving ordinary differential equations">34H05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1516.49037" data-ciurl="/ci/07697858" data-biburl="/bibtex/07697858.bib" data-amsurl="/amsrefs/07697858.bib" data-xmlurl="/xml/07697858.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07697858.pdf" title="Zbl 1516.49037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/mcrf.2022029" aria-label="DOI for “Control theory approach to continuous-time finite state mean field games”" title="10.3934/mcrf.2022029">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2103.07493"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7691679" value="7691679" aria-label="mark item Zbl 1516.35191"></div> <div class="author"><a href="/authors/cannarsa.piermarco" title="Author Profile">Cannarsa, Piermarco</a>; <a href="/authors/cheng.wei" title="Author Profile">Cheng, Wei</a>; <a href="/authors/mendico.cristian" title="Author Profile">Mendico, Cristian</a>; <a href="/authors/wang.kaizhi" title="Author Profile">Wang, Kaizhi</a></div> <h3 class="title"> <a href="/1516.35191"><strong>Weak KAM approach to first-order mean field games with state constraints.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1516.35191">Zbl 1516.35191</a> </h3> <div class="source"> <a href="/serials/1760" title="Journal Profile">J. Dyn. Differ. Equations</a> <a href="/?q=in%3A497031" title="Articles in this Issue">35, No. 2, 1885-1916 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35D40" title="Viscosity solutions to PDEs">35D40</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A35Q89" title="PDEs in connection with mean field game theory">35Q89</a> <a class="mono" href="/classification/?q=cc%3A49J45" title="Methods involving semicontinuity and convergence; relaxation">49J45</a> <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A49L25" title="Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games">49L25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1516.35191" data-ciurl="/ci/07691679" data-biburl="/bibtex/07691679.bib" data-amsurl="/amsrefs/07691679.bib" data-xmlurl="/xml/07691679.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07691679.pdf" title="Zbl 1516.35191 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10884-021-10071-9" aria-label="DOI for “Weak KAM approach to first-order mean field games with state constraints”" title="10.1007/s10884-021-10071-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2004.06505"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7689073" value="7689073" aria-label="mark item Zbl 1515.91027"></div> <div class="author"><a href="/authors/dumitrescu.roxana" title="Author Profile">Dumitrescu, Roxana</a>; <a href="/authors/leutscher.marcos" title="Author Profile">Leutscher, Marcos</a>; <a href="/authors/tankov.peter" title="Author Profile">Tankov, Peter</a></div> <h3 class="title"> <a href="/1515.91027"><strong>Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.91027">Zbl 1515.91027</a> </h3> <div class="source"> <a href="/serials/3314" title="Journal Profile">ESAIM, Math. Model. Numer. Anal.</a> <a href="/?q=in%3A496768" title="Articles in this Issue">57, No. 2, 953-990 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A55" title="Games of timing">91A55</a> <a class="mono" href="/classification/?q=cc%3A60G40" title="Stopping times; optimal stopping problems; gambling theory">60G40</a> <a class="mono" href="/classification/?q=cc%3A90C05" title="Linear programming">90C05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1515.91027" data-ciurl="/ci/07689073" data-biburl="/bibtex/07689073.bib" data-amsurl="/amsrefs/07689073.bib" data-xmlurl="/xml/07689073.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07689073.pdf" title="Zbl 1515.91027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/m2an/2023019" aria-label="DOI for “Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption”" title="10.1051/m2an/2023019">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2202.11428"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7682181" value="7682181" aria-label="mark item Zbl 1518.91014"></div> <div class="author"><a href="/authors/roling.casper-t" title="Author Profile">Röling, Casper T.</a>; <a href="/authors/ramirez.stefanny" title="Author Profile">Ramirez, Stefanny</a>; <a href="/authors/bauso.dario" title="Author Profile">Bauso, Dario</a>; <a href="/authors/tembine.hamidou" title="Author Profile">Tembine, Hamidou</a></div> <h3 class="title"> <a href="/1518.91014"><strong>Stochastic programming with primal-dual dynamics: a mean-field game approach.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1518.91014">Zbl 1518.91014</a> </h3> <div class="source"> <a href="/serials/4920" title="Journal Profile">Optim. Lett.</a> <a href="/?q=in%3A496170" title="Articles in this Issue">17, No. 4, 1005-1026 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A80" title="Applications of game theory">91A80</a> <a class="mono" href="/classification/?q=cc%3A90C15" title="Stochastic programming">90C15</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1518.91014" data-ciurl="/ci/07682181" data-biburl="/bibtex/07682181.bib" data-amsurl="/amsrefs/07682181.bib" data-xmlurl="/xml/07682181.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07682181.pdf" title="Zbl 1518.91014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11590-022-01910-9" aria-label="DOI for “Stochastic programming with primal-dual dynamics: a mean-field game approach”" title="10.1007/s11590-022-01910-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2009.04766"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7675406" value="7675406" aria-label="mark item Zbl 1514.90037"></div> <div class="author"><a href="/authors/andria.joseph" title="Author Profile">Andria, Joseph</a>; <a href="/authors/maggistro.rosario" title="Author Profile">Maggistro, Rosario</a>; <a href="/authors/pesenti.raffaele" title="Author Profile">Pesenti, Raffaele</a></div> <h3 class="title"> <a href="/1514.90037"><strong>Sustainable management of tourist flow networks: a mean field model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1514.90037">Zbl 1514.90037</a> </h3> <div class="source"> <a href="/serials/515" title="Journal Profile">J. Optim. Theory Appl.</a> <a href="/?q=in%3A495576" title="Articles in this Issue">196, No. 2, 730-761 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A90B10" title="Deterministic network models in operations research">90B10</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A91A10" title="Noncooperative games">91A10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1514.90037" data-ciurl="/ci/07675406" data-biburl="/bibtex/07675406.bib" data-amsurl="/amsrefs/07675406.bib" data-xmlurl="/xml/07675406.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07675406.pdf" title="Zbl 1514.90037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10957-023-02158-8" aria-label="DOI for “Sustainable management of tourist flow networks: a mean field model”" title="10.1007/s10957-023-02158-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7671497" value="7671497" aria-label="mark item Zbl 1511.91013"></div> <div class="author"><a href="/authors/cohen.asaf" title="Author Profile">Cohen, Asaf</a>; <a href="/authors/zell.ethan-c" title="Author Profile">Zell, Ethan</a></div> <h3 class="title"> <a href="/1511.91013"><strong>Analysis of the finite-state ergodic master equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1511.91013">Zbl 1511.91013</a> </h3> <div class="source"> <a href="/serials/333" title="Journal Profile">Appl. Math. Optim.</a> <a href="/?q=in%3A495281" title="Articles in this Issue">87, No. 3, Paper No. 40, 53 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A35M99" title="Partial differential equations of mixed type and mixed-type systems of partial differential equations">35M99</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1511.91013" data-ciurl="/ci/07671497" data-biburl="/bibtex/07671497.bib" data-amsurl="/amsrefs/07671497.bib" data-xmlurl="/xml/07671497.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07671497.pdf" title="Zbl 1511.91013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00245-022-09954-0" aria-label="DOI for “Analysis of the finite-state ergodic master equation”" title="10.1007/s00245-022-09954-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2204.05373"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7669351" value="7669351" aria-label="mark item Zbl 1511.49024"></div> <div class="author"><a href="/authors/bonnans.joseph-frederic" title="Author Profile">Bonnans, J. Frédéric</a>; <a href="/authors/gianatti.justina" title="Author Profile">Gianatti, Justina</a>; <a href="/authors/pfeiffer.laurent" title="Author Profile">Pfeiffer, Laurent</a></div> <h3 class="title"> <a href="/1511.49024"><strong>A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1511.49024">Zbl 1511.49024</a> </h3> <div class="source"> <a href="/serials/707" title="Journal Profile">SIAM J. Control Optim.</a> <a href="/?q=in%3A495131" title="Articles in this Issue">61, No. 1, 105-134 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16409">Savin Treanta (Bucureşti)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49N80" title="Mean field games and control">49N80</a> <a class="mono" href="/classification/?q=cc%3A91A07" title="Games with infinitely many players">91A07</a> <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A49N60" title="Regularity of solutions in optimal control">49N60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1511.49024" data-ciurl="/ci/07669351" data-biburl="/bibtex/07669351.bib" data-amsurl="/amsrefs/07669351.bib" data-xmlurl="/xml/07669351.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07669351.pdf" title="Zbl 1511.49024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/21M1407720" aria-label="DOI for “A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints”" title="10.1137/21M1407720">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2103.10743"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03174167" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7662348" value="7662348" aria-label="mark item Zbl 1508.91031"></div> <div class="author"><a href="/authors/ambrose.david-m" title="Author Profile">Ambrose, David M.</a>; <a href="/authors/meszaros.alpar-richard" title="Author Profile">Mészáros, Alpár R.</a></div> <h3 class="title"> <a href="/1508.91031"><strong>Well-posedness of mean field games master equations involving non-separable local Hamiltonians.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1508.91031">Zbl 1508.91031</a> </h3> <div class="source"> <a href="/serials/744" title="Journal Profile">Trans. Am. Math. Soc.</a> <a href="/?q=in%3A494082" title="Articles in this Issue">376, No. 4, 2481-2523 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A91A16" title="Mean field games (aspects of game theory)">91A16</a> <a class="mono" href="/classification/?q=cc%3A35K40" title="Second-order parabolic systems">35K40</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label 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