{"id":"https://openalex.org/W4361225955","doi":"https://doi.org/10.1093/imamci/dnad006","title":"Differential N-players game: Nash equilibria and Mather measures","display_name":"Differential N-players game: Nash equilibria and Mather measures","publication_year":2023,"publication_date":"2023-03-28","ids":{"openalex":"https://openalex.org/W4361225955","doi":"https://doi.org/10.1093/imamci/dnad006"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnad006","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnad006","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-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/A5012328242","display_name":"Cristian Mendico","orcid":"https://orcid.org/0000-0001-7674-2578"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Cristian Mendico","raw_affiliation_strings":["Department of Mathematics, University of Rome Tor Vergata , Via della Ricerca Scientifica 1, 00133 Roma , Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome Tor Vergata , Via della Ricerca Scientifica 1, 00133 Roma , Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012328242"],"corresponding_institution_ids":["https://openalex.org/I116067653"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.5095,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79756005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"2","first_page":"192","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9987999796867371,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8486465215682983},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7629929780960083},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.7062432765960693},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.683643102645874},{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.6108368635177612},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.605642557144165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5503770112991333},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.520675539970398},{"id":"https://openalex.org/keywords/strategy","display_name":"Strategy","score":0.477690726518631},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.45092248916625977},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.45034971833229065},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.44248899817466736},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.4378422796726227},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.4140198528766632},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.38899242877960205},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3203674554824829},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.303694486618042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27320706844329834},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.18855983018875122},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11842471361160278},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11499941349029541}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8486465215682983},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7629929780960083},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.7062432765960693},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.683643102645874},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.6108368635177612},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.605642557144165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5503770112991333},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.520675539970398},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.477690726518631},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.45092248916625977},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.45034971833229065},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.44248899817466736},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.4378422796726227},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.4140198528766632},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.38899242877960205},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3203674554824829},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.303694486618042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27320706844329834},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.18855983018875122},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11842471361160278},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11499941349029541},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnad006","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnad006","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W586490843","https://openalex.org/W1983321045","https://openalex.org/W2011000015","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2041150209","https://openalex.org/W2057470999","https://openalex.org/W2065124438","https://openalex.org/W2068983872","https://openalex.org/W2076323119","https://openalex.org/W2119707575","https://openalex.org/W2151150366","https://openalex.org/W2289075724","https://openalex.org/W2504932549","https://openalex.org/W2518857042","https://openalex.org/W2594297941","https://openalex.org/W2791784110","https://openalex.org/W2890024345","https://openalex.org/W3047552776","https://openalex.org/W3082044992","https://openalex.org/W3083240464","https://openalex.org/W3098467712","https://openalex.org/W3104281263","https://openalex.org/W3205280976","https://openalex.org/W4230008158","https://openalex.org/W4289463970","https://openalex.org/W4321149741","https://openalex.org/W6754912291","https://openalex.org/W6776259290"],"related_works":["https://openalex.org/W3097817394","https://openalex.org/W2077964199","https://openalex.org/W282191634","https://openalex.org/W4365460918","https://openalex.org/W2379515727","https://openalex.org/W2146267939","https://openalex.org/W2612802384","https://openalex.org/W2770888554","https://openalex.org/W3127939003","https://openalex.org/W2964165398"],"abstract_inverted_index":{"Abstract":[0],"We":[1,11,23],"study":[2],"Nash":[3,18,27],"equilibria":[4,19],"for":[5,39,70],"the":[6,40,45,53,58,64],"deterministic":[7],"ergodic":[8,65],"N-players":[9,59],"game.":[10],"introduce":[12],"pure":[13],"strategies,":[14],"mixed":[15,30],"strategies":[16,31],"and":[17,33],"associated":[20],"with":[21],"those.":[22],"show":[24,51],"that":[25,52],"a":[26,36,71],"equilibrium":[28],"in":[29],"exists":[32],"it":[34],"is":[35,61],"Mather":[37],"measure":[38],"Lagrangian":[41],"system":[42,69],"defined":[43],"by":[44,63],"cost":[46],"functional.":[47],"In":[48],"conclusion,":[49],"we":[50],"mean":[54],"field":[55],"limit":[56],"of":[57,73],"game":[60],"described":[62],"partial":[66],"differential":[67],"equation\u2019s":[68],"continuum":[72],"players.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
