{"id":"https://openalex.org/W4410188769","doi":"https://doi.org/10.1007/s00182-025-00938-2","title":"Existence of pure equilibria in symmetric two-player zero-sum games","display_name":"Existence of pure equilibria in symmetric two-player zero-sum games","publication_year":2025,"publication_date":"2025-05-08","ids":{"openalex":"https://openalex.org/W4410188769","doi":"https://doi.org/10.1007/s00182-025-00938-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-025-00938-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-025-00938-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-025-00938-2.pdf","source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","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/s00182-025-00938-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015495836","display_name":"Mehmet S. Ismail","orcid":"https://orcid.org/0000-0002-3232-0776"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Mehmet S. Ismail","raw_affiliation_strings":["Department of Political Economy, King\u2019s College London, London, WC2R 2LS, UK"],"raw_orcid":"https://orcid.org/0000-0002-3232-0776","affiliations":[{"raw_affiliation_string":"Department of Political Economy, King\u2019s College London, London, WC2R 2LS, UK","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039983826","display_name":"Ronald Peeters","orcid":"https://orcid.org/0000-0001-5261-1119"},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Ronald Peeters","raw_affiliation_strings":["Department of Economics, Otago Business School, University of Otago, Dunedin, 9054, New Zealand"],"raw_orcid":"https://orcid.org/0000-0001-5261-1119","affiliations":[{"raw_affiliation_string":"Department of Economics, Otago Business School, University of Otago, Dunedin, 9054, New Zealand","institution_ids":["https://openalex.org/I80281795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015495836"],"corresponding_institution_ids":["https://openalex.org/I183935753"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10279356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"1","first_page":null,"last_page":null},"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/T12137","display_name":"Economic theories and models","score":0.9979000091552734,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.731170117855072},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.6908960342407227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6078388690948486},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5294339656829834},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4123593866825104},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.41115057468414307},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.30889707803726196},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.268069863319397}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.731170117855072},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.6908960342407227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6078388690948486},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5294339656829834},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4123593866825104},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.41115057468414307},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.30889707803726196},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.268069863319397},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00182-025-00938-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-025-00938-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-025-00938-2.pdf","source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:kclpure.kcl.ac.uk:openaire/eb39cd15-656f-4534-a5d7-ac8fd686946e","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/eb39cd15-656f-4534-a5d7-ac8fd686946e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ismail, M & Peeters, R 2025, 'Existence of pure equilibria in symmetric two-player zero-sum games', INTERNATIONAL JOURNAL OF GAME THEORY, vol. 54, no. 1, 13. https://doi.org/10.1007/s00182-025-00938-2","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00938-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00182-025-00938-2","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/s00182-025-00938-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-025-00938-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-025-00938-2.pdf","source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410188769.pdf","grobid_xml":"https://content.openalex.org/works/W4410188769.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W389907844","https://openalex.org/W1491494309","https://openalex.org/W1525681877","https://openalex.org/W1964825244","https://openalex.org/W1977326596","https://openalex.org/W1981200817","https://openalex.org/W1987068702","https://openalex.org/W2012262427","https://openalex.org/W2026401862","https://openalex.org/W2043363230","https://openalex.org/W2067083294","https://openalex.org/W2075567596","https://openalex.org/W2099396796","https://openalex.org/W2111662998","https://openalex.org/W2130752181","https://openalex.org/W2160800109","https://openalex.org/W2163226001","https://openalex.org/W2164601540","https://openalex.org/W3022321359","https://openalex.org/W3037281587","https://openalex.org/W3123694393","https://openalex.org/W3142632021"],"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/W1877069894","https://openalex.org/W2804582172","https://openalex.org/W4210560602","https://openalex.org/W1994737592","https://openalex.org/W2286377751"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"contributes":[3],"to":[4],"the":[5,30,52,59,76],"literature":[6],"on":[7],"pure":[8],"equilibria":[9],"in":[10,14],"symmetric":[11],"zero-sum":[12],"games":[13,57,63,74],"two":[15],"main":[16],"ways.":[17],"First,":[18],"we":[19,36,49,69],"introduce":[20],"new":[21],"sufficient":[22],"conditions,":[23],"including":[24],"interchangeability":[25,77,85],"and":[26,44,64,86],"weak":[27],"quasiconcavity,":[28],"for":[29],"existence":[31],"of":[32,54,61],"such":[33],"equilibria.":[34],"Second,":[35],"uncover":[37],"relationships":[38],"between":[39,84],"these":[40],"newly":[41],"introduced":[42],"conditions":[43],"existing":[45],"ones.":[46],"For":[47],"instance,":[48],"demonstrate":[50],"that":[51,71],"class":[53,60],"weakly":[55],"quasiconcave":[56,62],"generalizes":[58],"ordinal":[65],"potential":[66,73],"games.":[67],"Additionally,":[68],"show":[70],"exact":[72],"satisfy":[75],"condition.":[78],"However,":[79],"no":[80],"logical":[81],"relationship":[82],"exists":[83],"(weak)":[87],"quasiconcavity.":[88]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}