{"id":"https://openalex.org/W2093270257","doi":"https://doi.org/10.1109/acc.2012.6315270","title":"Distributed convergence to Nash equilibria by adversarial networks with undirected topologies","display_name":"Distributed convergence to Nash equilibria by adversarial networks with undirected topologies","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2093270257","doi":"https://doi.org/10.1109/acc.2012.6315270","mag":"2093270257"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022064746","display_name":"Bahman Gharesifard","orcid":"https://orcid.org/0000-0003-1495-3489"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Gharesifard","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of California, San Diego, CA, USA","Department of Mechanical and Aerospace Engineering, University of California, San Diego CA, 92093, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027913099","display_name":"Jorge Cort\u00e9s","orcid":"https://orcid.org/0000-0001-9582-5184"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Cortes","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of California, San Diego, CA, USA","Department of Mechanical and Aerospace Engineering, University of California, San Diego CA, 92093, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":2.2636,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89428442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"5881","last_page":"5886"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.7972434163093567},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7454153895378113},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6913213133811951},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6045824289321899},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.5251709818840027},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47195354104042053},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3847597539424896},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3228816092014313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30599313974380493},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17247450351715088},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16243505477905273},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.16063600778579712},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07786527276039124}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.7972434163093567},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7454153895378113},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6913213133811951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6045824289321899},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.5251709818840027},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47195354104042053},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3847597539424896},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3228816092014313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30599313974380493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17247450351715088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16243505477905273},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.16063600778579712},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07786527276039124},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6315270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1494171067","https://openalex.org/W1515707356","https://openalex.org/W1551360398","https://openalex.org/W1559922687","https://openalex.org/W1578630563","https://openalex.org/W1592648094","https://openalex.org/W1630241696","https://openalex.org/W1788292158","https://openalex.org/W1964439345","https://openalex.org/W1970439256","https://openalex.org/W1983676131","https://openalex.org/W2020123437","https://openalex.org/W2022948311","https://openalex.org/W2026018281","https://openalex.org/W2026509976","https://openalex.org/W2039404515","https://openalex.org/W2044212084","https://openalex.org/W2049659086","https://openalex.org/W2070002549","https://openalex.org/W2070291355","https://openalex.org/W2086929129","https://openalex.org/W2098082970","https://openalex.org/W2108212877","https://openalex.org/W2114791779","https://openalex.org/W2117412539","https://openalex.org/W2149519261","https://openalex.org/W2160643434","https://openalex.org/W2164642931","https://openalex.org/W2296319761","https://openalex.org/W2797302609","https://openalex.org/W3016074254","https://openalex.org/W3121562466","https://openalex.org/W3124326924","https://openalex.org/W4210718478","https://openalex.org/W4237059239","https://openalex.org/W4249667877","https://openalex.org/W4250589301","https://openalex.org/W4293078920","https://openalex.org/W6681968160"],"related_works":["https://openalex.org/W2502115930","https://openalex.org/W4246396837","https://openalex.org/W2482350142","https://openalex.org/W3176240006","https://openalex.org/W3126451824","https://openalex.org/W1561927205","https://openalex.org/W3191453585","https://openalex.org/W4297672492","https://openalex.org/W4288019534","https://openalex.org/W4310988119"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,24,59,80,95,106,112,116,128],"class":[4,81],"of":[5,13,23,47,50,76,82,103,105,108],"strategic":[6],"scenarios":[7],"in":[8,38,53,111],"which":[9],"two":[10],"undirected":[11],"networks":[12],"agents":[14,34,52],"have":[15,43],"opposing":[16],"objectives":[17],"with":[18,36],"regards":[19],"to":[20,73,135],"the":[21,29,48,51,54,74,101],"optimization":[22,97],"common":[25],"objective":[26,88],"function.":[27],"In":[28],"resulting":[30],"zero-sum":[31],"game,":[32],"individual":[33],"collaborate":[35],"neighbors":[37],"their":[39],"respective":[40],"network":[41],"and":[42,69,85,131,155],"only":[44],"partial":[45],"knowledge":[46],"state":[49],"other":[55],"one.":[56],"We":[57],"synthesize":[58],"distributed":[60,113],"saddle-point":[61,129],"algorithm":[62,91],"that":[63,120],"is":[64],"implementable":[65],"via":[66],"local":[67],"interactions":[68],"establish":[70,136],"its":[71,137],"convergence":[72,139],"set":[75,102],"Nash":[77],"equilibria":[78],"for":[79,99],"strictly":[83],"concave-convex":[84],"locally":[86],"Lipschitz":[87],"functions.":[89],"Our":[90],"synthesis":[92],"builds":[93],"on":[94],"continuous-time":[96],"strategy":[98,122],"finding":[100],"minimizers":[104],"sum":[107],"convex":[109],"functions":[110],"way.":[114],"As":[115],"byproduct,":[117],"we":[118],"show":[119],"this":[121,133],"can":[123],"be":[124],"itself":[125],"cast":[126],"as":[127],"dynamics":[130],"use":[132],"fact":[134],"asymptotic":[138],"properties.":[140],"The":[141],"technical":[142],"approach":[143],"combines":[144],"tools":[145],"from":[146],"algebraic":[147],"graph":[148],"theory,":[149],"nonsmooth":[150],"analysis,":[151],"set-valued":[152],"dynamical":[153],"systems,":[154],"game":[156],"theory.":[157]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
