{"id":"https://openalex.org/W2029504615","doi":"https://doi.org/10.1007/s00182-013-0379-5","title":"Poor convexity and Nash equilibria in games","display_name":"Poor convexity and Nash equilibria in games","publication_year":2013,"publication_date":"2013-05-14","ids":{"openalex":"https://openalex.org/W2029504615","doi":"https://doi.org/10.1007/s00182-013-0379-5","mag":"2029504615"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-013-0379-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-013-0379-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-013-0379-5.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/s00182-013-0379-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017809427","display_name":"Tadeusz Radzik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"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":"Tadeusz Radzik","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 , Wroc\u0142aw, Poland","Wroc\u0142aw University of Technology,"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370 , Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Wroc\u0142aw University of Technology,","institution_ids":["https://openalex.org/I11923345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017809427"],"corresponding_institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.411,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68790167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"1","first_page":"169","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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":0.9977999925613403,"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/convexity","display_name":"Convexity","score":0.9140380620956421},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7003514766693115},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6614850163459778},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6031655669212341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5836870670318604},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5661935210227966},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5135643482208252},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.4974880516529083},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.44848477840423584},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4323734939098358},{"id":"https://openalex.org/keywords/strategy","display_name":"Strategy","score":0.4205491542816162},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1676318347454071}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9140380620956421},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7003514766693115},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6614850163459778},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6031655669212341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5836870670318604},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5661935210227966},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5135643482208252},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.4974880516529083},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.44848477840423584},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4323734939098358},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.4205491542816162},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1676318347454071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00182-013-0379-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-013-0379-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-013-0379-5.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:RePEc:spr:jogath:v:43:y:2014:i:1:p:169-192","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00182-013-0379-5","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/s00182-013-0379-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-013-0379-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-013-0379-5.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":[{"id":"https://metadata.un.org/sdg/1","score":0.7599999904632568,"display_name":"No poverty"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2029504615.pdf","grobid_xml":"https://content.openalex.org/works/W2029504615.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W136694183","https://openalex.org/W1592562187","https://openalex.org/W1963809247","https://openalex.org/W2001891967","https://openalex.org/W2019924637","https://openalex.org/W2052220370","https://openalex.org/W2053180705","https://openalex.org/W2053579996","https://openalex.org/W2080973045","https://openalex.org/W2085037663","https://openalex.org/W2087496594","https://openalex.org/W2110472898","https://openalex.org/W2117619975","https://openalex.org/W2145693460","https://openalex.org/W2330024298","https://openalex.org/W2400272841","https://openalex.org/W4234761190"],"related_works":["https://openalex.org/W1518504063","https://openalex.org/W2803931294","https://openalex.org/W2146267939","https://openalex.org/W3124939555","https://openalex.org/W1985823893","https://openalex.org/W1605726653","https://openalex.org/W2041287705","https://openalex.org/W2981664478","https://openalex.org/W2733656312","https://openalex.org/W2051635307"],"abstract_inverted_index":{"This":[0,20],"paper":[1],"considers":[2],"two-person":[3],"non-zero-sum":[4],"games":[5,38],"on":[6],"the":[7,25,49,66],"unit":[8],"square":[9],"with":[10,42,53],"payoff":[11],"functions":[12,74],"having":[13],"a":[14,43,62,69],"new":[15],"property":[16,21],"called":[17],"poor":[18,59],"convexity.":[19],"describes":[22],"\u201csomething":[23],"between\u201d":[24],"classical":[26],"convexity":[27,60],"and":[28],"quasi-convexity.":[29],"It":[30],"is":[31,61,75],"proved":[32],"that":[33],"various":[34],"types":[35],"of":[36,48,71],"such":[37],"have":[39],"Nash":[40],"equilibria":[41],"very":[44],"simple":[45],"structure,":[46],"consisting":[47],"players\u2019":[50],"mixed":[51],"strategies":[52],"at":[54],"most":[55],"two-element":[56],"supports.":[57],"Since":[58],"basic":[63],"notion":[64],"in":[65],"paper,":[67],"also":[68,76],"theory":[70],"poorly":[72],"convex":[73],"developed.":[77]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}