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Tim Roughgarden - Wikipedia

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<div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">American computer scientist</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Timothy Avelin Roughgarden</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Tim_Roughgarden_2022.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Tim_Roughgarden_2022.jpg/220px-Tim_Roughgarden_2022.jpg" decoding="async" width="220" height="277" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Tim_Roughgarden_2022.jpg/330px-Tim_Roughgarden_2022.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Tim_Roughgarden_2022.jpg/440px-Tim_Roughgarden_2022.jpg 2x" data-file-width="480" data-file-height="605" /></a></span><div class="infobox-caption">Roughgarden in 2022</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1975-07-20</span>) </span>July 20, 1975<span class="noprint ForceAgeToShow"> (age&#160;49)</span></td></tr><tr><th scope="row" class="infobox-label">Alma&#160;mater</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"> <ul><li><a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a></li> <li><a href="/wiki/Cornell_University" title="Cornell University">Cornell University</a></li></ul> </div></td></tr><tr><th scope="row" class="infobox-label">Known&#160;for</th><td class="infobox-data">Contributions to <a href="/wiki/Price_of_anarchy#Selfish_Routing" title="Price of anarchy">Selfish Routing</a> in the context of <a href="/wiki/Computer_Science" class="mw-redirect" title="Computer Science">Computer Science</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"> <ul><li><a href="/wiki/Grace_Murray_Hopper_Award" title="Grace Murray Hopper Award">Grace Murray Hopper Award</a> (2009)</li> <li><a href="/wiki/G%C3%B6del_prize" class="mw-redirect" title="Gödel prize">Gödel prize</a> (2012)</li> <li>Social Choice and Welfare Prize (2014)</li> <li><a href="/wiki/Kalai_Prize" title="Kalai Prize">Kalai Prize</a> (2016)</li></ul> </div></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Computer_Science" class="mw-redirect" title="Computer Science">Computer Science</a>, <a href="/wiki/Game_Theory" class="mw-redirect" title="Game Theory">Game Theory</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"> <ul><li><a href="/wiki/Columbia_University" title="Columbia University">Columbia University</a></li> <li><a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a></li></ul> </div></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="http://theory.stanford.edu/~tim/papers/thesis.pdf">Selfish routing</a></i>&#160;<span style="font-size:97%;">(2002)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/%C3%89va_Tardos" title="Éva Tardos">Éva Tardos</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><a rel="nofollow" class="external free" href="http://timroughgarden.org/">http://timroughgarden.org/</a></td></tr></tbody></table> <p><b>Timothy Avelin Roughgarden</b> (born July 20, 1975) is an American computer scientist and a professor of Computer Science at <a href="/wiki/Columbia_University" title="Columbia University">Columbia University</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> Roughgarden's work deals primarily with <a href="/wiki/Game_theory" title="Game theory">game theoretic</a> questions in <a href="/wiki/Computer_science" title="Computer science">computer science</a>. </p><p>Roughgarden received his Ph.D. from <a href="/wiki/Cornell_University" title="Cornell University">Cornell University</a> in 2002, under the supervision of <a href="/wiki/%C3%89va_Tardos" title="Éva Tardos">Éva Tardos</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> He did a postdoc at <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a> in 2004. From 2004 to 2018, Roughgarden was a professor at the Computer Science department at <a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a> working on algorithms and game theory. Roughgarden teaches a four-part algorithms specialization on <a href="/wiki/Coursera" title="Coursera">Coursera</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>He received the <a href="/wiki/Symposium_on_Theory_of_Computing#Awards" title="Symposium on Theory of Computing">Danny Lewin award</a> at <a href="/wiki/Symposium_on_Theory_of_Computing" title="Symposium on Theory of Computing">STOC</a> 2002 for the best student paper. He received the <a href="/wiki/Presidential_Early_Career_Award_for_Scientists_and_Engineers" title="Presidential Early Career Award for Scientists and Engineers">Presidential Early Career Award for Scientists and Engineers</a> in 2007,<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> the <a href="/wiki/Grace_Murray_Hopper_Award" title="Grace Murray Hopper Award">Grace Murray Hopper Award</a> in 2009,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> and the <a href="/wiki/G%C3%B6del_Prize" title="Gödel Prize">Gödel Prize</a> in 2012 for his work on routing traffic in large-scale communication networks to optimize performance of a congested network.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> He received a <a href="/wiki/Guggenheim_Fellowship" title="Guggenheim Fellowship">Guggenheim Fellowship</a> in 2017<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> and the <a href="/wiki/Kalai_Prize" title="Kalai Prize">Kalai Prize</a> in 2016. </p><p>Roughgarden is a co-editor of the 2016 textbook <i>Algorithmic Game Theory</i>, as well as the author of two chapters (<i>Introduction to the Inefficiency of Equilibria</i> and <i>Routing Games)</i>.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Selected_publications">Selected publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tim_Roughgarden&amp;action=edit&amp;section=1" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFRoughgarden2016" class="citation book cs1">Roughgarden, Tim (2016). <i>Twenty Lectures on Algorithmic Game Theory</i>. Cambridge University Press.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Twenty+Lectures+on+Algorithmic+Game+Theory&amp;rft.pub=Cambridge+University+Press&amp;rft.date=2016&amp;rft.aulast=Roughgarden&amp;rft.aufirst=Tim&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRoughgarden2005" class="citation book cs1">Roughgarden, Tim (2005). <i>Selfish Routing and the Price of Anarchy</i>. MIT Press.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Selfish+Routing+and+the+Price+of+Anarchy&amp;rft.pub=MIT+Press&amp;rft.date=2005&amp;rft.aulast=Roughgarden&amp;rft.aufirst=Tim&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRoughgardenTardos2002" class="citation journal cs1">Roughgarden, Tim; <a href="/wiki/%C3%89va_Tardos" title="Éva Tardos">Tardos, Éva</a> (March 2002). "How Bad is Selfish Routing?". <i>Journal of the ACM</i>. <b>49</b> (2): 236–259. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.147.1081">10.1.1.147.1081</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F506147.506153">10.1145/506147.506153</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:207638789">207638789</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Journal+of+the+ACM&amp;rft.atitle=How+Bad+is+Selfish+Routing%3F&amp;rft.volume=49&amp;rft.issue=2&amp;rft.pages=236-259&amp;rft.date=2002-03&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.147.1081%23id-name%3DCiteSeerX&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A207638789%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F506147.506153&amp;rft.aulast=Roughgarden&amp;rft.aufirst=Tim&amp;rft.au=Tardos%2C+%C3%89va&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRoughgarden2002" class="citation cs2">Roughgarden, Tim (2002), "The price of anarchy is independent of the network topology", <a href="/wiki/Symposium_on_Theory_of_Computing" title="Symposium on Theory of Computing"><i>Proceedings of the 34th Symposium on Theory of Computing</i></a>, pp.&#160;428–437</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=The+price+of+anarchy+is+independent+of+the+network+topology&amp;rft.btitle=Proceedings+of+the+34th+Symposium+on+Theory+of+Computing&amp;rft.pages=428-437&amp;rft.date=2002&amp;rft.aulast=Roughgarden&amp;rft.aufirst=Tim&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tim_Roughgarden&amp;action=edit&amp;section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://theory.stanford.edu/~tim/">"Tim Roughgarden's Homepage"</a>. <i>theory.stanford.edu</i><span class="reference-accessdate">. Retrieved <span class="nowrap">July 6,</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=theory.stanford.edu&amp;rft.atitle=Tim+Roughgarden%27s+Homepage&amp;rft_id=http%3A%2F%2Ftheory.stanford.edu%2F~tim%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://archive.today/20120717014255/http://soe.stanford.edu/research/surreal.htm">"Tim Roughgarden's Profile - Stanford Profiles"</a>. <i>soe.stanford.edu</i>. <a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a>. 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Retrieved <span class="nowrap">January 19,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=gf.org&amp;rft.atitle=Tim+Roughgarden%3A+Fellow%2C+Awarded+2017&amp;rft.date=2017&amp;rft_id=https%3A%2F%2Fwww.gf.org%2Ffellows%2Fall-fellows%2Ftim-roughgarden%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKnowles2017" class="citation news cs1">Knowles, Hannah (April 17, 2017). <a rel="nofollow" class="external text" href="https://www.stanforddaily.com/2017/04/16/four-professors-named-guggenheim-fellows/">"Four professors named Guggenheim fellows"</a>. <i><a href="/wiki/The_Stanford_Daily" title="The Stanford Daily">The Stanford Daily</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">January 19,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=The+Stanford+Daily&amp;rft.atitle=Four+professors+named+Guggenheim+fellows&amp;rft.date=2017-04-17&amp;rft.aulast=Knowles&amp;rft.aufirst=Hannah&amp;rft_id=https%3A%2F%2Fwww.stanforddaily.com%2F2017%2F04%2F16%2Ffour-professors-named-guggenheim-fellows%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHrsg.2007" class="citation book cs1">Hrsg., Nisan, Noam (September 24, 2007). <a rel="nofollow" class="external text" href="http://worldcat.org/oclc/870638977"><i>Algorithmic game theory</i></a>. Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-521-87282-9" title="Special:BookSources/978-0-521-87282-9"><bdi>978-0-521-87282-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a>&#160;<a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/870638977">870638977</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Algorithmic+game+theory&amp;rft.pub=Cambridge+University+Press&amp;rft.date=2007-09-24&amp;rft_id=info%3Aoclcnum%2F870638977&amp;rft.isbn=978-0-521-87282-9&amp;rft.aulast=Hrsg.&amp;rft.aufirst=Nisan%2C+Noam&amp;rft_id=http%3A%2F%2Fworldcat.org%2Foclc%2F870638977&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>)</span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://timroughgarden.org/books.html">"Tim Roughgarden's Books and Surveys"</a>. <i>timroughgarden.org</i><span class="reference-accessdate">. Retrieved <span class="nowrap">April 7,</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=timroughgarden.org&amp;rft.atitle=Tim+Roughgarden%27s+Books+and+Surveys&amp;rft_id=http%3A%2F%2Ftimroughgarden.org%2Fbooks.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ATim+Roughgarden" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tim_Roughgarden&amp;action=edit&amp;section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://genealogy.math.ndsu.nodak.edu/id.php?id=73527">Mathematics Genealogy Project</a></li> <li>Roughgarden's textbook: <i><a rel="nofollow" class="external text" href="https://www.amazon.com/Algorithmic-Game-Theory-Noam-Nisan/dp/0521872820">Algorithmic Game Theory</a></i></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output 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Hopper Award">Grace Murray Hopper Award</a> recipients</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Donald_Knuth" title="Donald Knuth">Knuth</a>&#160;(1971)</span></li> <li><span class="nowrap"><a href="/wiki/Paul_H._Dirksen" class="mw-redirect" title="Paul H. Dirksen">Dirksen</a>&#160;(1972)</span></li> <li><span class="nowrap"><a href="/wiki/Paul_H._Cress" title="Paul H. Cress">Cress</a>&#160;(1972)</span></li> <li><span class="nowrap"><a href="/wiki/Lawrence_M._Breed" title="Lawrence M. Breed">Breed</a>/<a href="/wiki/Richard_H._Lathwell" title="Richard H. Lathwell">Lathwell</a>/<a href="/wiki/Roger_Moore_(computer_scientist)" title="Roger Moore (computer scientist)">Moore</a>&#160;(1973)</span></li> <li><span class="nowrap"><a href="/wiki/George_N._Baird" title="George N. Baird">Baird</a>&#160;(1974)</span></li> <li><span class="nowrap"><a href="/wiki/Allan_L._Scherr" title="Allan L. Scherr">Scherr</a>&#160;(1975)</span></li> <li><span class="nowrap"><a href="/wiki/Edward_H._Shortliffe" title="Edward H. Shortliffe">Shortliffe</a>&#160;(1976)</span></li> <li><span class="nowrap"><a href="/wiki/Ray_Kurzweil" title="Ray Kurzweil">Kurzweil</a>&#160;(1978)</span></li> <li><span class="nowrap"><a href="/wiki/Steve_Wozniak" title="Steve Wozniak">Wozniak</a>&#160;(1979)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Metcalfe" title="Robert Metcalfe">Metcalfe</a>&#160;(1980)</span></li> <li><span class="nowrap"><a href="/wiki/Daniel_S._Bricklin" class="mw-redirect" title="Daniel S. Bricklin">Bricklin</a>&#160;(1981)</span></li> <li><span class="nowrap"><a href="/wiki/Brian_Reid_(computer_scientist)" title="Brian Reid (computer scientist)">Reid</a>&#160;(1982)</span></li> <li><span class="nowrap"><a href="/wiki/Dan_Ingalls" title="Dan Ingalls">Ingalls</a>&#160;(1984)</span></li> <li><span class="nowrap"><a href="/wiki/Cordell_Green" title="Cordell Green">Green</a>&#160;(1985)</span></li> <li><span class="nowrap"><a href="/wiki/Bill_Joy" title="Bill Joy">Joy</a>&#160;(1986)</span></li> <li><span class="nowrap"><a href="/wiki/John_Ousterhout" title="John Ousterhout">Ousterhout</a>&#160;(1987)</span></li> <li><span class="nowrap"><a href="/wiki/Guy_L._Steele_Jr." title="Guy L. Steele Jr.">Steele</a>&#160;(1988)</span></li> <li><span class="nowrap"><a href="/wiki/Danny_Hillis" title="Danny Hillis">Hillis</a>&#160;(1989)</span></li> <li><span class="nowrap"><a href="/wiki/Richard_Stallman" title="Richard Stallman">Stallman</a>&#160;(1990)</span></li> <li><span class="nowrap"><a href="/wiki/Feng-hsiung_Hsu" title="Feng-hsiung Hsu">Hsu</a>&#160;(1991)</span></li> <li><span class="nowrap"><a href="/wiki/Bjarne_Stroustrup" title="Bjarne Stroustrup">Stroustrup</a>&#160;(1993)</span></li> <li><span class="nowrap"><a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">Goldwasser</a>&#160;(1996)</span></li> <li><span class="nowrap"><a href="/wiki/Wen-mei_Hwu" title="Wen-mei Hwu">Hwu</a>&#160;(1999)</span></li> <li><span class="nowrap"><a href="/wiki/Lydia_Kavraki" title="Lydia Kavraki">Kavraki</a>&#160;(2000)</span></li> <li><span class="nowrap"><a href="/wiki/George_Necula" title="George Necula">Necula</a>&#160;(2001)</span></li> <li><span class="nowrap"><a href="/wiki/Ramakrishnan_Srikant" title="Ramakrishnan Srikant">Srikant</a>&#160;(2002)</span></li> <li><span class="nowrap"><a href="/wiki/Stephen_W._Keckler" title="Stephen W. Keckler">Keckler</a>&#160;(2003)</span></li> <li><span class="nowrap"><a href="/wiki/Jennifer_Rexford" title="Jennifer Rexford">Rexford</a>&#160;(2004)</span></li> <li><span class="nowrap"><a href="/wiki/Omer_Reingold" title="Omer Reingold">Reingold</a>&#160;(2005)</span></li> <li><span class="nowrap"><a href="/wiki/Dan_Klein" title="Dan Klein">Klein</a>&#160;(2006)</span></li> <li><span class="nowrap"><a href="/wiki/Vern_Paxson" title="Vern Paxson">Paxson</a>&#160;(2007)</span></li> <li><span class="nowrap"><a href="/wiki/Dawson_Engler" title="Dawson Engler">Engler</a>&#160;(2008)</span></li> <li><span class="nowrap"><a class="mw-selflink selflink">Roughgarden</a>&#160;(2009)</span></li> <li><span class="nowrap"><a href="/wiki/Craig_Gentry_(computer_scientist)" title="Craig Gentry (computer scientist)">Gentry</a>&#160;(2010)</span></li> <li><span class="nowrap"><a href="/wiki/Luis_von_Ahn" title="Luis von Ahn">Ahn</a>&#160;(2011)</span></li> <li><span class="nowrap"><a href="/wiki/Martin_Casado" title="Martin Casado">Casado</a> and <a href="/wiki/Dina_Katabi" title="Dina Katabi">Katabi</a>&#160;(2012)</span></li> <li><span class="nowrap"><a href="/wiki/Pedro_Felipe_Felzenszwalb" title="Pedro Felipe Felzenszwalb">Felzenszwalb</a>&#160;(2013)</span></li> <li><span class="nowrap"><a href="/wiki/Sylvia_Ratnasamy" title="Sylvia Ratnasamy">Ratnasamy</a>&#160;(2014)</span></li> <li><span class="nowrap"><a href="/wiki/Brent_Waters" title="Brent Waters">Waters</a>&#160;(2015)</span></li> <li><span class="nowrap"><a href="/wiki/Jeffrey_Heer" title="Jeffrey Heer">Heer</a>&#160;(2016)</span></li> <li><span class="nowrap"><a href="/wiki/Amanda_Randles" title="Amanda Randles">Randles</a>&#160;(2017)</span></li> <li><span class="nowrap"><a href="/wiki/Constantinos_Daskalakis" title="Constantinos Daskalakis">Daskalakis</a> and <a href="/wiki/Michael_J._Freedman" title="Michael J. Freedman">Freedman</a>&#160;(2018)</span></li> <li><span class="nowrap"><a href="/wiki/Maria-Florina_Balcan" title="Maria-Florina Balcan">Balcan</a>&#160;(2019)</span></li> <li><span class="nowrap"><a href="/w/index.php?title=Shyamnath_Gollakota&amp;action=edit&amp;redlink=1" class="new" title="Shyamnath Gollakota (page does not exist)">Gollakota</a>&#160;(2020)</span></li> <li><span class="nowrap"><a href="/w/index.php?title=Raluca_Ada_Popa&amp;action=edit&amp;redlink=1" class="new" title="Raluca Ada Popa (page does not exist)">Popa</a>&#160;(2021)</span></li> <li><span class="nowrap"><a href="/w/index.php?title=Mohammad_Alizadeh&amp;action=edit&amp;redlink=1" class="new" title="Mohammad Alizadeh (page does not exist)">Alizadeh</a>&#160;(2022)</span></li> <li><span class="nowrap"><a href="/w/index.php?title=Prateek_Mittal&amp;action=edit&amp;redlink=1" class="new" title="Prateek Mittal (page does not exist)">Mittal</a>&#160;(2023)</span></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Gödel_Prize_laureates" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:G%C3%B6del_Prize_laureates" title="Template:Gödel Prize laureates"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:G%C3%B6del_Prize_laureates" title="Template talk:Gödel Prize laureates"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:G%C3%B6del_Prize_laureates" title="Special:EditPage/Template:Gödel Prize laureates"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Gödel_Prize_laureates" style="font-size:114%;margin:0 4em"><a href="/wiki/G%C3%B6del_Prize" title="Gödel Prize">Gödel Prize</a> laureates</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/L%C3%A1szl%C3%B3_Babai" title="László Babai">Babai</a> / <a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">Goldwasser</a> / <a href="/wiki/Silvio_Micali" title="Silvio Micali">Micali</a> / <a href="/wiki/Shlomo_Moran" title="Shlomo Moran">Moran</a> / <a href="/wiki/Charles_Rackoff" title="Charles Rackoff">Rackoff</a> (1993)</li> <li><a href="/wiki/Johan_H%C3%A5stad" title="Johan Håstad">Håstad</a> (1994)</li> <li><a href="/wiki/Neil_Immerman" title="Neil Immerman">Immerman</a> / <a href="/wiki/R%C3%B3bert_Szelepcs%C3%A9nyi" title="Róbert Szelepcsényi">Szelepcsényi</a> (1995)</li> <li><a href="/wiki/Mark_Jerrum" title="Mark Jerrum">Jerrum</a> / <a href="/wiki/Alistair_Sinclair" title="Alistair Sinclair">Sinclair</a> (1996)</li> <li><a href="/wiki/Joseph_Halpern" title="Joseph Halpern">Halpern</a> / <a href="/wiki/Yoram_Moses" title="Yoram Moses">Moses</a> (1997)</li> <li><a href="/wiki/Seinosuke_Toda" title="Seinosuke Toda">Toda</a> (1998)</li> <li><a href="/wiki/Peter_Shor" title="Peter Shor">Shor</a> (1999)</li> <li><a href="/wiki/Moshe_Y._Vardi" class="mw-redirect" title="Moshe Y. Vardi">Vardi</a> / <a href="/wiki/Pierre_Wolper" title="Pierre Wolper">Wolper</a> (2000)</li> <li><a href="/wiki/Sanjeev_Arora" title="Sanjeev Arora">Arora</a> / <a href="/wiki/Uriel_Feige" title="Uriel Feige">Feige</a> / <a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">Goldwasser</a> / <a href="/wiki/Carsten_Lund" title="Carsten Lund">Lund</a> / <a href="/wiki/L%C3%A1szl%C3%B3_Lov%C3%A1sz" title="László Lovász">Lovász</a> / <a href="/wiki/Rajeev_Motwani" title="Rajeev Motwani">Motwani</a> / <a href="/wiki/Shmuel_Safra" title="Shmuel Safra">Safra</a> / <a href="/wiki/Madhu_Sudan" title="Madhu Sudan">Sudan</a> / <a href="/wiki/Mario_Szegedy" title="Mario Szegedy">Szegedy</a> (2001)</li> <li><a href="/wiki/G%C3%A9raud_S%C3%A9nizergues" title="Géraud Sénizergues">Sénizergues</a> (2002)</li> <li><a href="/wiki/Yoav_Freund" title="Yoav Freund">Freund</a> / <a href="/wiki/Robert_Schapire" title="Robert Schapire">Schapire</a> (2003)</li> <li><a href="/wiki/Maurice_Herlihy" title="Maurice Herlihy">Herlihy</a> / <a href="/wiki/Michael_Saks_(mathematician)" title="Michael Saks (mathematician)">Saks</a> / <a href="/wiki/Nir_Shavit" title="Nir Shavit">Shavit</a> / <a href="/wiki/Fotios_Zaharoglou" title="Fotios Zaharoglou">Zaharoglou</a> (2004)</li> <li><a href="/wiki/Noga_Alon" title="Noga Alon">Alon</a> / <a href="/wiki/Yossi_Matias" title="Yossi Matias">Matias</a> / <a href="/wiki/Mario_Szegedy" title="Mario Szegedy">Szegedy</a> (2005)</li> <li><a href="/wiki/Manindra_Agrawal" title="Manindra Agrawal">Agrawal</a> / <a href="/wiki/Neeraj_Kayal" title="Neeraj Kayal">Kayal</a> / <a href="/wiki/Nitin_Saxena" title="Nitin Saxena">Saxena</a> (2006)</li> <li><a href="/wiki/Alexander_Razborov" title="Alexander Razborov">Razborov</a> / <a href="/wiki/Steven_Rudich" title="Steven Rudich">Rudich</a> (2007)</li> <li><a href="/wiki/Shang-Hua_Teng" title="Shang-Hua Teng">Teng</a> / <a href="/wiki/Daniel_Spielman" title="Daniel Spielman">Spielman</a> (2008)</li> <li><a href="/wiki/Omer_Reingold" title="Omer Reingold">Reingold</a> / <a href="/wiki/Salil_Vadhan" title="Salil Vadhan">Vadhan</a> / <a href="/wiki/Avi_Wigderson" title="Avi Wigderson">Wigderson</a> (2009)</li> <li><a href="/wiki/Sanjeev_Arora" title="Sanjeev Arora">Arora</a> / <a href="/wiki/Joseph_S._B._Mitchell" title="Joseph S. B. Mitchell">Mitchell</a> (2010)</li> <li><a href="/wiki/Johan_H%C3%A5stad" title="Johan Håstad">Håstad</a> (2011)</li> <li><a href="/wiki/Elias_Koutsoupias" title="Elias Koutsoupias">Koutsoupias</a> / <a href="/wiki/Christos_Papadimitriou" title="Christos Papadimitriou">Papadimitriou</a> / <a class="mw-selflink selflink">Roughgarden</a> / <a href="/wiki/%C3%89va_Tardos" title="Éva Tardos">É. Tardos</a> / <a href="/wiki/Noam_Nisan" title="Noam Nisan">Nisan</a> / <a href="/wiki/Amir_Ronen" title="Amir Ronen">Ronen</a> (2012)</li> <li><a href="/wiki/Dan_Boneh" title="Dan Boneh">Boneh</a> / <a href="/wiki/Matthew_K._Franklin" title="Matthew K. Franklin">Franklin</a> / <a href="/wiki/Antoine_Joux" title="Antoine Joux">Joux</a> (2013)</li> <li><a href="/wiki/Ronald_Fagin" title="Ronald Fagin">Fagin</a> / <a href="/w/index.php?title=Amnon_Lotem&amp;action=edit&amp;redlink=1" class="new" title="Amnon Lotem (page does not exist)">Lotem</a> / <a href="/wiki/Moni_Naor" title="Moni Naor">Naor</a> (2014)</li> <li><a href="/wiki/Daniel_Spielman" title="Daniel Spielman">Spielman</a> / <a href="/wiki/Shang-Hua_Teng" title="Shang-Hua Teng">Teng</a> (2015)</li> <li><a href="/w/index.php?title=Stephen_Brookes_(computer_scientist)&amp;action=edit&amp;redlink=1" class="new" title="Stephen Brookes (computer scientist) (page does not exist)">Brookes</a> / <a href="/wiki/Peter_O%27Hearn" title="Peter O&#39;Hearn">O'Hearn</a> (2016)</li> <li><a href="/wiki/Cynthia_Dwork" title="Cynthia Dwork">Dwork</a> / <a href="/wiki/Frank_McSherry" title="Frank McSherry">McSherry</a> / <a href="/wiki/Kobbi_Nissim" title="Kobbi Nissim">Nissim</a> / <a href="/wiki/Adam_D._Smith" title="Adam D. Smith">Smith</a> (2017)</li> <li><a href="/wiki/Oded_Regev_(Computer_Scientist)" class="mw-redirect" title="Oded Regev (Computer Scientist)">Regev</a> (2018)</li> <li><a href="/wiki/Irit_Dinur" title="Irit Dinur">Dinur</a> (2019)</li> <li><a href="/w/index.php?title=Robin_Moser&amp;action=edit&amp;redlink=1" class="new" title="Robin Moser (page does not exist)">Moser</a> / <a href="/wiki/G%C3%A1bor_Tardos" title="Gábor Tardos">G. Tardos</a> (2020)</li> <li><a href="/w/index.php?title=Andrei_A._Bulatov&amp;action=edit&amp;redlink=1" class="new" title="Andrei A. Bulatov (page does not exist)">Bulatov</a> / <a href="/wiki/Jin-Yi_Cai" title="Jin-Yi Cai">Cai</a> / <a href="/wiki/Xi_Chen" title="Xi Chen">Chen</a> / <a href="/wiki/Martin_Dyer" title="Martin Dyer">Dyer</a> / <a href="/w/index.php?title=David_Richerby&amp;action=edit&amp;redlink=1" class="new" title="David Richerby (page does not exist)">Richerby</a> (2021)</li> <li><a href="/wiki/Zvika_Brakerski" title="Zvika Brakerski">Brakerski</a> / <a href="/wiki/Craig_Gentry_(computer_scientist)" title="Craig Gentry (computer scientist)">Gentry</a> / <a href="/wiki/Vinod_Vaikuntanathan" title="Vinod Vaikuntanathan">Vaikuntanathan</a> (2022)</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q7804199#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q7804199#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q7804199#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://isni.org/isni/0000000117195180">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/164900074">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJqBw6Pc3qXYcrRgT4HQv3">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/1117167275">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n2004014759">United States</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Roughgarden, Tim"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=vse20201097374&amp;CON_LNG=ENG">Czech Republic</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007451064505171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=73527">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dl.acm.org/profile/81342509525">Association for Computing Machinery</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=0lcJYs8AAAAJ">Google Scholar</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/r/TimRoughgarden">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/694023">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/160109787">IdRef</a></span></li></ul></div></td></tr></tbody></table></div> <p><br /> </p> <style data-mw-deduplicate="TemplateStyles:r1012311289">.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox 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