{"id":"https://openalex.org/W4409159379","doi":"https://doi.org/10.1007/s13235-025-00639-1","title":"Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon","display_name":"Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon","publication_year":2025,"publication_date":"2025-04-03","ids":{"openalex":"https://openalex.org/W4409159379","doi":"https://doi.org/10.1007/s13235-025-00639-1"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-025-00639-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-025-00639-1","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092690687","display_name":"Thomas Ragel","orcid":"https://orcid.org/0000-0002-9519-7525"},"institutions":[{"id":"https://openalex.org/I171048554","display_name":"Centre de Recherche en Math\u00e9matiques de la D\u00e9cision","ror":"https://ror.org/03s0gj002","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I2746051580","https://openalex.org/I4210141950","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Ragel","raw_affiliation_strings":["CEREMADE, Paris Dauphine University, PSL Research Institute, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEREMADE, Paris Dauphine University, PSL Research Institute, Paris, France","institution_ids":["https://openalex.org/I171048554","https://openalex.org/I56435720"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113773029","display_name":"Bruno Ziliotto","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210092408","display_name":"Toulouse School of Economics","ror":"https://ror.org/00ff5f522","country_code":"FR","type":"education","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210092408"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bruno Ziliotto","raw_affiliation_strings":["Toulouse School of Economics, Universit\u00e9 Toulouse Capitole, Institut de Math\u00e9matiques de Toulouse, CNRS, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toulouse School of Economics, Universit\u00e9 Toulouse Capitole, Institut de Math\u00e9matiques de Toulouse, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210092408","https://openalex.org/I4210098964"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5113773029"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210092408","https://openalex.org/I4210098964"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06259384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"3","first_page":"919","last_page":"934"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9865999817848206,"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":0.9865999817848206,"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":0.9835000038146973,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9771000146865845,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6974600553512573},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6937514543533325},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6351437568664551},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6149851083755493},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5762839913368225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5535851716995239},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4650230407714844},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.4153311550617218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39841926097869873},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3658719062805176},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3020729124546051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2371029257774353}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6974600553512573},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6937514543533325},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6351437568664551},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6149851083755493},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5762839913368225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5535851716995239},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4650230407714844},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.4153311550617218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39841926097869873},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3658719062805176},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3020729124546051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2371029257774353},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s13235-025-00639-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-025-00639-1","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:publications.ut-capitole.fr:50865","is_oa":false,"landing_page_url":"https://www.idref.fr/282183639>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401335","display_name":"Toulouse 1 Capitole Publications (Universit\u00e9 Toulouse I Capitole)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3131550300","host_organization_name":"Universit\u00e9 Toulouse-I-Capitole","host_organization_lineage":["https://openalex.org/I3131550300"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:HAL:hal-04786399v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04786399","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dynamic Games and Applications, 2025, 14 p. ⟨10.1007/s13235-025-00639-1⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-05093123v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05093123","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dynamic Games and Applications, 2025, ⟨10.1007/s13235-025-00639-1⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1141025942","display_name":"Toulouse Graduate School d\u00e9fis en \u00e9conomie et sciences sociales quantitatives","funder_award_id":"ANR-17-EURE-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3529968961","display_name":"Convergence of Zero-Sum Games Dynamics","funder_award_id":"ANR-21-CE40-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W816357306","https://openalex.org/W1480317510","https://openalex.org/W1769644984","https://openalex.org/W2021792774","https://openalex.org/W2022773242","https://openalex.org/W2050082160","https://openalex.org/W2094492145","https://openalex.org/W2103010350","https://openalex.org/W2297702120","https://openalex.org/W2301305374","https://openalex.org/W2466086657","https://openalex.org/W2575731723","https://openalex.org/W2587991115","https://openalex.org/W2963248860","https://openalex.org/W2963761516","https://openalex.org/W2995576095","https://openalex.org/W3134361205","https://openalex.org/W3167516108","https://openalex.org/W3203269821"],"related_works":["https://openalex.org/W2739681863","https://openalex.org/W3170723600","https://openalex.org/W4287122294","https://openalex.org/W2039187327","https://openalex.org/W4307291161","https://openalex.org/W2090036432","https://openalex.org/W2215997563","https://openalex.org/W2040503200","https://openalex.org/W2048640400","https://openalex.org/W2029469580"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-02T07:38:04.252551","created_date":"2025-10-10T00:00:00"}