{"id":"https://openalex.org/W3137869634","doi":"https://doi.org/10.1007/s42001-021-00109-9","title":"Algorithms may not learn to play a unique Nash equilibrium","display_name":"Algorithms may not learn to play a unique Nash equilibrium","publication_year":2021,"publication_date":"2021-03-14","ids":{"openalex":"https://openalex.org/W3137869634","doi":"https://doi.org/10.1007/s42001-021-00109-9","mag":"3137869634"},"language":"en","primary_location":{"id":"doi:10.1007/s42001-021-00109-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42001-021-00109-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210196583","display_name":"Journal of Computational Social Science","issn_l":"2432-2717","issn":["2432-2717","2432-2725"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Social Science","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/A5024435066","display_name":"Takako Fujiwara\u2010Greve","orcid":"https://orcid.org/0000-0002-0525-7732"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takako Fujiwara-Greve","raw_affiliation_strings":["Department of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan","Department of Economics, Keio University, Minato-ku, Japan"],"raw_orcid":"https://orcid.org/0000-0002-0525-7732","affiliations":[{"raw_affiliation_string":"Department of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Economics, Keio University, Minato-ku, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101291096","display_name":"Carsten Krabbe Nielsen","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]},{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carsten Krabbe Nielsen","raw_affiliation_strings":["Dipartimento di Economia e Finanza, Catholic University of Milan, Via Necchi 5, 20123, Milan, Italy","Dipartimento di Economia e Finanza, Catholic University of Milan, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Economia e Finanza, Catholic University of Milan, Via Necchi 5, 20123, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"Dipartimento di Economia e Finanza, Catholic University of Milan, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024435066"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1795,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51291994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"2","first_page":"839","last_page":"850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.8083680272102356},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.7668825387954712},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6504321098327637},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5781530141830444},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5689743757247925},{"id":"https://openalex.org/keywords/solution-concept","display_name":"Solution concept","score":0.5180609226226807},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5049756169319153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5045393705368042},{"id":"https://openalex.org/keywords/trembling-hand-perfect-equilibrium","display_name":"Trembling hand perfect equilibrium","score":0.4410233199596405},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.43872931599617004},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.43185558915138245},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.41192498803138733},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3639349341392517},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.3368033766746521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32258912920951843},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3202623724937439},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.2641420066356659}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8083680272102356},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.7668825387954712},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6504321098327637},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5781530141830444},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5689743757247925},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.5180609226226807},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5049756169319153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5045393705368042},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.4410233199596405},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.43872931599617004},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.43185558915138245},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.41192498803138733},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3639349341392517},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.3368033766746521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32258912920951843},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3202623724937439},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.2641420066356659},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s42001-021-00109-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42001-021-00109-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210196583","display_name":"Journal of Computational Social Science","issn_l":"2432-2717","issn":["2432-2717","2432-2725"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Social Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcsosc:v:4:y:2021:i:2:d:10.1007_s42001-021-00109-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s42001-021-00109-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1924498641","https://openalex.org/W1960974220","https://openalex.org/W1965194288","https://openalex.org/W1984980284","https://openalex.org/W2018552538","https://openalex.org/W2036770560","https://openalex.org/W2048384258","https://openalex.org/W2070214254","https://openalex.org/W2077706051","https://openalex.org/W2082426369","https://openalex.org/W2089649903","https://openalex.org/W2108614294","https://openalex.org/W2118994458","https://openalex.org/W2131750533","https://openalex.org/W2138863509","https://openalex.org/W2142850237","https://openalex.org/W2149966883","https://openalex.org/W3089212412","https://openalex.org/W3123760098","https://openalex.org/W4290016560","https://openalex.org/W6680733882"],"related_works":["https://openalex.org/W1553185561","https://openalex.org/W1554758635","https://openalex.org/W3125812435","https://openalex.org/W4299551322","https://openalex.org/W2097226409","https://openalex.org/W2952611531","https://openalex.org/W2013767790","https://openalex.org/W2200216774","https://openalex.org/W615573743","https://openalex.org/W2025767136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}