{"id":"https://openalex.org/W2059671608","doi":"https://doi.org/10.1142/s0219198999000098","title":"EQUILIBRIUM STRATEGIES IN STOCHASTIC GAMES WITH ADDITIVE COST AND TRANSITION STRUCTURE","display_name":"EQUILIBRIUM STRATEGIES IN STOCHASTIC GAMES WITH ADDITIVE COST AND TRANSITION STRUCTURE","publication_year":1999,"publication_date":"1999-06-01","ids":{"openalex":"https://openalex.org/W2059671608","doi":"https://doi.org/10.1142/s0219198999000098","mag":"2059671608"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198999000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198999000098","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","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/A5026158880","display_name":"Heinz\u2010Uwe K\u00fcenle","orcid":null},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"HEINZ-UWE K\u00dcENLE","raw_affiliation_strings":["Department of Mathematics, Brandenburg Technical University of Cottbus, D-03013 Cottbus, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brandenburg Technical University of Cottbus, D-03013 Cottbus, Germany","institution_ids":["https://openalex.org/I51783024"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026158880"],"corresponding_institution_ids":["https://openalex.org/I51783024"],"apc_list":null,"apc_paid":null,"fwci":3.9879,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.94156981,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"01","issue":"02","first_page":"131","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9908000230789185,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/mathematics","display_name":"Mathematics","score":0.736462414264679},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6686292886734009},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5521487593650818},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5493316054344177},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5121352672576904},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4806212782859802},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.47042226791381836},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4688728153705597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4020328223705292},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.340302973985672},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19771116971969604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16188058257102966},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08097442984580994}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.736462414264679},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6686292886734009},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5521487593650818},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5493316054344177},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5121352672576904},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4806212782859802},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.47042226791381836},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4688728153705597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4020328223705292},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.340302973985672},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19771116971969604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16188058257102966},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08097442984580994},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198999000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198999000098","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:01:y:1999:i:02:n:s0219198999000098","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198999000098","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:RePEc:wsi:igtrxx:v:01:y:1999:i:02:p:131-147","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198999000098","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1539554947","https://openalex.org/W1975828588","https://openalex.org/W2005808873","https://openalex.org/W2017067312","https://openalex.org/W2105148255","https://openalex.org/W2150153095","https://openalex.org/W2300684981","https://openalex.org/W2321878986","https://openalex.org/W3122224521"],"related_works":["https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W4252969132","https://openalex.org/W2000020320","https://openalex.org/W2805799113","https://openalex.org/W1981078319","https://openalex.org/W4387315838","https://openalex.org/W2077709279","https://openalex.org/W2055388154","https://openalex.org/W2581541046"],"abstract_inverted_index":{"Two-person":[0],"stochastic":[1],"games":[2],"with":[3],"additive":[4],"transition":[5],"and":[6,9,20,26,48,57],"cost":[7],"structure":[8],"the":[10,32,65],"criterion":[11],"of":[12,67],"expected":[13],"total":[14],"costs":[15,28],"are":[16,23,29,40,60],"treated.":[17],"State":[18],"space":[19],"action":[21],"spaces":[22],"standard":[24],"Borel,":[25],"unbounded":[27],"allowed.":[30],"For":[31],"zero-sum":[33],"case,":[34],"it":[35],"is":[36,77],"shown":[37],"that":[38],"there":[39],"stationary":[41],"deterministic":[42,70],"\u03b5\u03b7-optimal":[43],"strategies":[44],"for":[45],"every":[46],"\u03b5>0":[47],"a":[49],"certain":[50],"weight":[51],"function":[52],"\u03b7":[53],"if":[54],"some":[55],"semi-continuity":[56],"compactness":[58],"conditions":[59,76],"fulfilled.":[61],"Using":[62],"these":[63],"results,":[64],"existence":[66],"so-called":[68],"quasi-stationary":[69],"\u03b5\u03b7-equilibrium":[71],"strategy":[72],"pairs":[73],"under":[74],"corresponding":[75],"proven.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}