Document Zbl 07638300

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Intell.</a> <a href="/?q=in%3A491446" title="Articles in this Issue">315, Article ID 103826, 20 p. (2023)</a>. </div> <div class="abstract">Summary: We consider the classical problem of allocating indivisible resources among agents in an envy-free (and, where applicable, proportional) way. Recently, the basic model was enriched by introducing the concept of a social network which allows to capture situations where agents might not have full information about the allocation of all resources. We initiate the study of the parameterized complexity of these resource allocation problems by considering natural parameters which capture structural properties of the network and similarities between agents and resources. In particular, we show that even very general fragments of the considered problems become tractable as long as the social network has constant treewidth or clique-width. We complement our results with matching lower bounds which show that our algorithms cannot be substantially improved.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7638300">Cited in <strong>3</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68Txx" title="MSC2020">68Txx</a> </td> <td class="space"> Artificial intelligence </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aresource+allocation">resource allocation</a>; <a href="/?q=ut%3Aparameterized+complexity">parameterized complexity</a>; <a href="/?q=ut%3Acomputational+social+choice">computational social choice</a>; <a href="/?q=ut%3Atreewidth">treewidth</a>; <a href="/?q=ut%3Aclique-width">clique-width</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 07638300" data-ciurl="/ci/07638300" data-biburl="/bibtex/07638300.bib" data-amsurl="/amsrefs/07638300.bib" data-xmlurl="/xml/07638300.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07638300.pdf" title="Zbl 07638300 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.artint.2022.103826" aria-label="DOI for “Parameterized complexity of envy-free resource allocation in social networks”" title="10.1016/j.artint.2022.103826">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eprints.whiterose.ac.uk/193718/1/Envy.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Abebe, Rediet; Kleinberg, Jon M.; Parkes, David C., Fair division via social comparison, (Larson, Kate; Winikoff, Michael; Das, Sanmay; Durfee, Edmund H., Proceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems. 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