{"id":"https://openalex.org/W2130736008","doi":"https://doi.org/10.1007/s00186-014-0491-8","title":"On pure stationary almost Markov Nash equilibria in nonzero-sum ARAT stochastic games","display_name":"On pure stationary almost Markov Nash equilibria in nonzero-sum ARAT stochastic games","publication_year":2015,"publication_date":"2015-01-03","ids":{"openalex":"https://openalex.org/W2130736008","doi":"https://doi.org/10.1007/s00186-014-0491-8","mag":"2130736008"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-014-0491-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-014-0491-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-014-0491-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00186-014-0491-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041359534","display_name":"Anna Ja\u015bkiewicz","orcid":"https://orcid.org/0000-0002-8480-7850"},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Ja\u015bkiewicz","raw_affiliation_strings":["Department of Mathematics, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","Wroc\u0142aw University of Technology,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345"]},{"raw_affiliation_string":"Wroc\u0142aw University of Technology,","institution_ids":["https://openalex.org/I11923345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065275841","display_name":"Andrzej S. Nowak","orcid":"https://orcid.org/0000-0002-0314-0901"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej S. Nowak","raw_affiliation_strings":["Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246, Zielona G\u00f3ra, Poland","University of Zielona Gora"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Computer Science and Econometrics, University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246, Zielona G\u00f3ra, Poland","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"University of Zielona Gora","institution_ids":["https://openalex.org/I46305939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041359534"],"corresponding_institution_ids":["https://openalex.org/I11923345"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":5.9957,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.95973263,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"81","issue":"2","first_page":"169","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9984999895095825,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.98580002784729,"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/mathematics","display_name":"Mathematics","score":0.7761408090591431},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6633114218711853},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6131849884986877},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5955109000205994},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5691895484924316},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46840211749076843},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.46163392066955566},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.432743102312088},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4118198752403259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39652085304260254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13088583946228027},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08009138703346252}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7761408090591431},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6633114218711853},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6131849884986877},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5955109000205994},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5691895484924316},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46840211749076843},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.46163392066955566},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.432743102312088},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4118198752403259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39652085304260254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13088583946228027},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08009138703346252},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-014-0491-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-014-0491-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-014-0491-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:mathme:v:81:y:2015:i:2:p:169-179","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-014-0491-8","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":{"id":"doi:10.1007/s00186-014-0491-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-014-0491-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-014-0491-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2130736008.pdf","grobid_xml":"https://content.openalex.org/works/W2130736008.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W89232916","https://openalex.org/W193327738","https://openalex.org/W1480317510","https://openalex.org/W1593542532","https://openalex.org/W1756507684","https://openalex.org/W1924777679","https://openalex.org/W1981298356","https://openalex.org/W1994928036","https://openalex.org/W1998191601","https://openalex.org/W1999739106","https://openalex.org/W2002043964","https://openalex.org/W2005808873","https://openalex.org/W2017067312","https://openalex.org/W2044365892","https://openalex.org/W2044503658","https://openalex.org/W2054708620","https://openalex.org/W2056764992","https://openalex.org/W2059671608","https://openalex.org/W2072340369","https://openalex.org/W2074232820","https://openalex.org/W2489831357","https://openalex.org/W3122224521","https://openalex.org/W4213130996","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W2470927734","https://openalex.org/W2468739564","https://openalex.org/W2171981925","https://openalex.org/W2501065092","https://openalex.org/W1554758635","https://openalex.org/W3018272572"],"abstract_inverted_index":{"We":[0,20],"deal":[1],"with":[2,12,68],"discounted":[3],"ARAT":[4],"stochastic":[5,57],"games":[6,58],"on":[7,36,49,62,75],"a":[8,71,76],"Borel":[9],"state":[10,41],"space":[11],"finite":[13],"action":[14],"spaces":[15],"and":[16,39,59],"nonatomic":[17],"transition":[18],"probabilities.":[19],"prove":[21],"the":[22,37,43,63],"existence":[23,51],"of":[24,42,65],"pure":[25],"Nash":[26],"equilibria":[27,55],"in":[28,56],"stationary":[29],"almost":[30],"Markov":[31],"strategies":[32],"that":[33],"depend":[34],"only":[35],"current":[38],"previous":[40],"game.":[44],"Our":[45],"proof":[46],"is":[47],"based":[48],"an":[50],"theorem":[52],"for":[53],"correlated":[54],"some":[60],"results":[61],"integrals":[64],"set-valued":[66],"mappings":[67],"respect":[69],"to":[70],"probability":[72],"measure":[73],"depending":[74],"parameter.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}