{"id":"https://openalex.org/W2792472039","doi":"https://doi.org/10.1007/s13235-018-0257-7","title":"Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games","display_name":"Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games","publication_year":2018,"publication_date":"2018-03-20","ids":{"openalex":"https://openalex.org/W2792472039","doi":"https://doi.org/10.1007/s13235-018-0257-7","mag":"2792472039"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-018-0257-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-0257-7","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://uvadoc.uva.es/handle/10324/31974","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041081477","display_name":"Javier de Frutos","orcid":"https://orcid.org/0000-0002-5012-6061"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier de Frutos","raw_affiliation_strings":["IMUVA and Dpto. Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Valladolid, Campus Miguel Delibes, Paseo Bel\u00e9n 7, 47011, Valladolid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5012-6061","affiliations":[{"raw_affiliation_string":"IMUVA and Dpto. Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Valladolid, Campus Miguel Delibes, Paseo Bel\u00e9n 7, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068494486","display_name":"Guiomar Mart\u00edn\u2010Herr\u00e1n","orcid":"https://orcid.org/0000-0002-9161-2349"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Guiomar Mart\u00edn-Herr\u00e1n","raw_affiliation_strings":["IMUVA and Dpto. Econom\u00eda Aplicada, Facultad de Ciencias Econ\u00f3micas y Empresariales, Universidad de Valladolid, Avda. Valle Esgueva, 6, 47011, Valladolid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9161-2349","affiliations":[{"raw_affiliation_string":"IMUVA and Dpto. Econom\u00eda Aplicada, Facultad de Ciencias Econ\u00f3micas y Empresariales, Universidad de Valladolid, Avda. Valle Esgueva, 6, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068494486"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.939,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89233394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":"3","first_page":"620","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9984999895095825,"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":0.9984999895095825,"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/T11031","display_name":"Game Theory and Applications","score":0.998199999332428,"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/T13825","display_name":"Economic Policies and Impacts","score":0.9900000095367432,"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":0.7762324213981628},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7638914585113525},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.6590642929077148},{"id":"https://openalex.org/keywords/trembling-hand-perfect-equilibrium","display_name":"Trembling hand perfect equilibrium","score":0.5905091762542725},{"id":"https://openalex.org/keywords/markov-perfect-equilibrium","display_name":"Markov perfect equilibrium","score":0.5780153274536133},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.5762373805046082},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5627151131629944},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5478560328483582},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5248294472694397},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5158795118331909},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.46947893500328064},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4600093364715576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45151615142822266},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.4454166889190674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43257057666778564},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.34018266201019287},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.21804451942443848}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7762324213981628},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7638914585113525},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.6590642929077148},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.5905091762542725},{"id":"https://openalex.org/C67091656","wikidata":"https://www.wikidata.org/wiki/Q6771328","display_name":"Markov perfect equilibrium","level":3,"score":0.5780153274536133},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.5762373805046082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5627151131629944},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5478560328483582},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5248294472694397},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5158795118331909},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.46947893500328064},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4600093364715576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45151615142822266},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.4454166889190674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43257057666778564},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.34018266201019287},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.21804451942443848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s13235-018-0257-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-0257-7","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:dyngam:v:8:y:2018:i:3:d:10.1007_s13235-018-0257-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-018-0257-7","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"},{"id":"pmh:oai:dnet:uvadoc______::6693fbcfc8f0bac7035eeffb70dc6f0f","is_oa":true,"landing_page_url":"http://uvadoc.uva.es/handle/10324/31974","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:uvadoc______::6693fbcfc8f0bac7035eeffb70dc6f0f","is_oa":true,"landing_page_url":"http://uvadoc.uva.es/handle/10324/31974","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G7199860560","display_name":null,"funder_award_id":"VA024P17","funder_id":"https://openalex.org/F4320325114","funder_display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320325114","display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W76917148","https://openalex.org/W1556225412","https://openalex.org/W1589364140","https://openalex.org/W1652435304","https://openalex.org/W1659904137","https://openalex.org/W1792899268","https://openalex.org/W1932937768","https://openalex.org/W1978649216","https://openalex.org/W1981566789","https://openalex.org/W1984940617","https://openalex.org/W1985872146","https://openalex.org/W1993576458","https://openalex.org/W1998235498","https://openalex.org/W2004300759","https://openalex.org/W2007537376","https://openalex.org/W2009514787","https://openalex.org/W2009820106","https://openalex.org/W2030560560","https://openalex.org/W2035769044","https://openalex.org/W2037557009","https://openalex.org/W2040682122","https://openalex.org/W2061626489","https://openalex.org/W2069164231","https://openalex.org/W2070253708","https://openalex.org/W2080447694","https://openalex.org/W2082049356","https://openalex.org/W2084000920","https://openalex.org/W2089419834","https://openalex.org/W2109529834","https://openalex.org/W2111049020","https://openalex.org/W2130893231","https://openalex.org/W2133795188","https://openalex.org/W2142977292","https://openalex.org/W3121523117","https://openalex.org/W3123286472","https://openalex.org/W3123611267","https://openalex.org/W3125114066","https://openalex.org/W4249338655","https://openalex.org/W4253693883","https://openalex.org/W4254813883"],"related_works":["https://openalex.org/W1553185561","https://openalex.org/W2068864510","https://openalex.org/W1554758635","https://openalex.org/W3125812435","https://openalex.org/W1502787658","https://openalex.org/W3124797202","https://openalex.org/W3099302628","https://openalex.org/W2893200946","https://openalex.org/W3124157873","https://openalex.org/W2184670207"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}