{"id":"https://openalex.org/W2543145484","doi":null,"title":"A three-person chess-like game without Nash equilibria.","display_name":"A three-person chess-like game without Nash equilibria.","publication_year":2016,"publication_date":"2016-10-25","ids":{"openalex":"https://openalex.org/W2543145484","mag":"2543145484"},"language":"en","primary_location":{"id":"mag:2543145484","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1610.07701.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.07701.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057621825","display_name":"Endre Boros","orcid":"https://orcid.org/0000-0001-8206-3168","observed_orcids":["https://orcid.org/0000-0001-8206-3168"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Endre Boros","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8206-3168","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102877110","display_name":"Vladimir Gurvich","orcid":"https://orcid.org/0000-0003-0304-8686","observed_orcids":["https://orcid.org/0000-0003-0304-8686"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vladimir Gurvich","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0304-8686","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027970574","display_name":"Martin Milani\u010d","orcid":"https://orcid.org/0000-0002-8222-8097","observed_orcids":["https://orcid.org/0000-0002-8222-8097"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Milani\u010d","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8222-8097","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008467177","display_name":"Vladimir Oudalov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vladimir Oudalov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5026395165","display_name":"Jernej Vi\u010di\u010d","orcid":"https://orcid.org/0000-0002-7876-5009","observed_orcids":["https://orcid.org/0000-0002-7876-5009"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jernej Vi\u010di\u010d","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7876-5009","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9994999766349792,"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":0.9994999766349792,"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":0.00019999999494757503,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.746999979019165},{"id":"https://openalex.org/keywords/three-player-games","display_name":"three-player games","score":0.8349999785423279},{"id":"https://openalex.org/keywords/mixed-strategies","display_name":"mixed strategies","score":0.6830000281333923},{"id":"https://openalex.org/keywords/markov-strategies","display_name":"Markov strategies","score":0.6899999976158142},{"id":"https://openalex.org/keywords/normal-forms","display_name":"normal forms","score":0.5370000004768372}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8032376766204834},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7763768434524536},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.6523212194442749},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.5062543749809265},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4926348328590393},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.4889291822910309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4784000813961029},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4611407220363617},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.44801777601242065},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.44759470224380493},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.4423838257789612},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.41638731956481934},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.34150999784469604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3052285611629486},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.30376487970352173},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.29723241925239563},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12906435132026672},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.044411540031433105},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2543145484","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1610.07701.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2543145484","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1610.07701.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1534285264","https://openalex.org/W1933788290","https://openalex.org/W2001393527","https://openalex.org/W2004533707","https://openalex.org/W2013992407","https://openalex.org/W2039748221","https://openalex.org/W2042035286","https://openalex.org/W2060556731","https://openalex.org/W2062541377","https://openalex.org/W2067050450","https://openalex.org/W2070126920","https://openalex.org/W2076337359","https://openalex.org/W2078268196","https://openalex.org/W2126464708","https://openalex.org/W2296322821","https://openalex.org/W2305490249","https://openalex.org/W2330024298","https://openalex.org/W2579534121"],"related_works":["https://openalex.org/W2950406026","https://openalex.org/W2146049888","https://openalex.org/W1933788290","https://openalex.org/W2740844446","https://openalex.org/W7099266460","https://openalex.org/W7098345732","https://openalex.org/W2950714561","https://openalex.org/W2054129049","https://openalex.org/W7098014576","https://openalex.org/W7095908498"],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2],"example":[3,48,86],"of":[4,38],"a":[5,110],"three":[6,30],"person":[7],"chess-like":[8],"game":[9,20],"that":[10,90],"has":[11,21,61,92],"no":[12,93],"Nash":[13,94],"equilibrium":[14,95],"in":[15,54,98,102],"pure":[16,99],"stationary":[17],"strategies.":[18],"The":[19],"seven":[22],"positions,":[23],"four":[24,62],"outcomes":[25],"(a":[26],"unique":[27],"cycle":[28],"and":[29,33,58,66,109],"terminal":[31],"positions),":[32],"its":[34,78],"normal":[35,74],"form":[36],"is":[37],"size":[39],"2":[40,42,67],"x":[41,43,68,70,72],"4":[44,69],"only.":[45],"Thus,":[46],"our":[47,84],"strengthens":[49],"significantly":[50],"the":[51],"one":[52],"obtained":[53],"2014":[55],"by":[56,88],"Gurvich":[57],"Oudalov,":[59],"which":[60],"players,":[63],"five":[64],"terminals,":[65],"6":[71],"8":[73],"form.":[75],"Due":[76],"to":[77],"small":[79],"size,":[80],"we":[81],"can":[82],"strengthen":[83],"new":[85],"further,":[87],"showing":[89],"it":[91],"not":[96],"only":[97],"but":[100],"also":[101],"independently":[103],"mixed":[104],"strategies,":[105],"for":[106],"both":[107],"Markov":[108],"priori":[111],"realizations.":[112]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-11-04T00:00:00"}
