{"id":"https://openalex.org/W2002399727","doi":"https://doi.org/10.1145/2746539.2746571","title":"On the Complexity of Nash Equilibria in Anonymous Games","display_name":"On the Complexity of Nash Equilibria in Anonymous Games","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W2002399727","doi":"https://doi.org/10.1145/2746539.2746571","mag":"2002399727"},"language":"en","primary_location":{"id":"doi:10.1145/2746539.2746571","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","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/A5100329996","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-8911-4172"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029767449","display_name":"David Durfee","orcid":"https://orcid.org/0000-0002-8551-0426"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Durfee","raw_affiliation_strings":["266 Ferst Drive NW, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"266 Ferst Drive NW, Atlanta, GA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032709054","display_name":"Anthi Orfanou","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthi Orfanou","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100329996"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":5.208,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95199517,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"381","last_page":"390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.9075450897216797},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.6625723838806152},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5541127920150757},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5536832213401794},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4801042377948761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4799254536628723},{"id":"https://openalex.org/keywords/folk-theorem","display_name":"Folk theorem","score":0.46220043301582336},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.42821332812309265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41199105978012085},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38791269063949585},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.3301667869091034},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.295154333114624}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.9075450897216797},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.6625723838806152},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5541127920150757},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5536832213401794},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4801042377948761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4799254536628723},{"id":"https://openalex.org/C21603316","wikidata":"https://www.wikidata.org/wiki/Q650738","display_name":"Folk theorem","level":5,"score":0.46220043301582336},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.42821332812309265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41199105978012085},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38791269063949585},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.3301667869091034},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.295154333114624}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2746539.2746571","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4491745983","display_name":null,"funder_award_id":"1149257","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W145077070","https://openalex.org/W1497567842","https://openalex.org/W1554884927","https://openalex.org/W1572887701","https://openalex.org/W1579319053","https://openalex.org/W1855561663","https://openalex.org/W1967438932","https://openalex.org/W1978317291","https://openalex.org/W1988613094","https://openalex.org/W1990873282","https://openalex.org/W1991713925","https://openalex.org/W1997147068","https://openalex.org/W1998196694","https://openalex.org/W2002373723","https://openalex.org/W2009636825","https://openalex.org/W2051206974","https://openalex.org/W2052419575","https://openalex.org/W2054129049","https://openalex.org/W2056623179","https://openalex.org/W2057913812","https://openalex.org/W2067050450","https://openalex.org/W2068845983","https://openalex.org/W2083207585","https://openalex.org/W2089015050","https://openalex.org/W2102736491","https://openalex.org/W2108444537","https://openalex.org/W2118559710","https://openalex.org/W2122653474","https://openalex.org/W2124580127","https://openalex.org/W2145297839","https://openalex.org/W2162589776","https://openalex.org/W2162605677","https://openalex.org/W2256680040","https://openalex.org/W2330024298","https://openalex.org/W2913334655","https://openalex.org/W2949899574","https://openalex.org/W2951200029","https://openalex.org/W2953324705","https://openalex.org/W3100963268","https://openalex.org/W4234761190","https://openalex.org/W6642304386","https://openalex.org/W6651109790","https://openalex.org/W6652795159","https://openalex.org/W6759061127"],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W4301347782","https://openalex.org/W4221157020","https://openalex.org/W2760737027","https://openalex.org/W1554758635","https://openalex.org/W1667857601","https://openalex.org/W2092374696","https://openalex.org/W1988732867","https://openalex.org/W4302558842","https://openalex.org/W2245247999"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3,24,32],"problem":[4],"of":[5,34],"finding":[6],"an":[7,12],"\u03b5-approximate":[8],"Nash":[9],"equilibrium":[10],"in":[11,21,31],"{anonymous}":[13],"game":[14],"with":[15],"seven":[16],"pure":[17],"strategies":[18],"is":[19,28],"complete":[20],"PPAD,":[22],"when":[23],"approximation":[25],"parameter":[26],"\u03b5":[27],"exponentially":[29],"small":[30],"number":[33],"players.":[35]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
