{"id":"https://openalex.org/W7160845428","doi":"https://doi.org/10.48550/arxiv.2605.07996","title":"Nash without Numbers: A Social Choice Approach to Mixed Equilibria in Context-Ordinal Games","display_name":"Nash without Numbers: A Social Choice Approach to Mixed Equilibria in Context-Ordinal Games","publication_year":2026,"publication_date":"2026-05-08","ids":{"openalex":"https://openalex.org/W7160845428","doi":"https://doi.org/10.48550/arxiv.2605.07996"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.07996","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.07996","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.07996","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135874099","display_name":"Ian Gemp","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gemp, Ian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043246682","display_name":"Crystal Qian","orcid":"https://orcid.org/0000-0001-7716-7245"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qian, Crystal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135862415","display_name":"Marc Lanctot","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lanctot, Marc","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135889178","display_name":"Kate Larson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Larson, Kate","raw_affiliation_strings":[],"raw_orcid":null,"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":0.499099999666214,"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":0.499099999666214,"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":0.2223999947309494,"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":0.0364999994635582,"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":0.748199999332428},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.6542999744415283},{"id":"https://openalex.org/keywords/social-choice-theory","display_name":"Social choice theory","score":0.632099986076355},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5491999983787537},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.5472999811172485},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5303000211715698},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5227000117301941},{"id":"https://openalex.org/keywords/solution-concept","display_name":"Solution concept","score":0.49959999322891235},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.4596000015735626}],"concepts":[{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7793999910354614},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.748199999332428},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.6542999744415283},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.632099986076355},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5491999983787537},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.5472999811172485},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5303000211715698},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5227000117301941},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.49959999322891235},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4726000130176544},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42829999327659607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3944999873638153},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.3871000111103058},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.35030001401901245},{"id":"https://openalex.org/C146930158","wikidata":"https://www.wikidata.org/wiki/Q656416","display_name":"Extensive-form game","level":4,"score":0.3465000092983246},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.33489999175071716},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.31049999594688416},{"id":"https://openalex.org/C89967458","wikidata":"https://www.wikidata.org/wiki/Q4692248","display_name":"Aggregate behavior","level":4,"score":0.27649998664855957},{"id":"https://openalex.org/C123650614","wikidata":"https://www.wikidata.org/wiki/Q282491","display_name":"Strategic dominance","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.27480000257492065},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C52820260","wikidata":"https://www.wikidata.org/wiki/Q7551312","display_name":"Social preferences","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C145351099","wikidata":"https://www.wikidata.org/wiki/Q7621827","display_name":"Strategic complements","level":2,"score":0.2565999925136566}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.07996","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.07996","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.07996","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.07996","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.762935996055603,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Nash":[0,61,137,176],"equilibrium":[1,31,62,177],"serves":[2],"as":[3,26],"a":[4,46,64,70,100,135,173],"fundamental":[5],"mathematical":[6],"tool":[7],"in":[8,33,186],"economics":[9,22],"and":[10,48,58,153,160,178],"game":[11],"theory.":[12],"However,":[13],"it":[14],"classically":[15],"assumes":[16],"knowledge":[17],"of":[18,74,79,85,99,134,150,175],"player":[19,44,71],"utilities,":[20],"whereas":[21],"generally":[23],"regards":[24],"preferences":[25,122,185],"more":[27],"fundamental.":[28],"To":[29],"leverage":[30],"analysis":[32],"strategic":[34],"scenarios,":[35],"one":[36],"must":[37],"first":[38],"elicit":[39],"numerical":[40],"utilities":[41,57],"consistent":[42],"with":[43],"preferences,":[45],"delicate":[47],"time-consuming":[49],"process.":[50],"In":[51,168],"this":[52,131],"work,":[53],"we":[54,67,111,171],"forgo":[55],"precise":[56],"generalize":[59],"the":[60,83,97,103,125],"to":[63,95,120,123,183],"setting":[65],"where":[66],"only":[68],"assume":[69],"is":[72,94],"capable":[73],"providing":[75],"an":[76],"ordinal":[77],"ranking":[78],"their":[80],"actions":[81,107],"within":[82],"context":[84],"other":[86],"players'":[87],"joint":[88],"actions.":[89,128],"The":[90],"key":[91],"technical":[92],"challenge":[93],"rethink":[96],"definition":[98,105],"best-response.":[101],"While":[102],"classical":[104],"identifies":[106],"maximizing":[108],"expected":[109],"payoff,":[110],"naturally":[112],"look":[113],"towards":[114],"social":[115],"choice":[116],"theory":[117],"for":[118,157,164],"how":[119],"aggregate":[121],"identify":[124],"most":[126],"preferred":[127],"We":[129],"define":[130],"generalized":[132],"notion":[133],"context-ordinal":[136],"equilibrium,":[138],"establish":[139],"its":[140,180],"existence":[141],"under":[142],"mild":[143],"conditions":[144],"on":[145],"aggregation":[146],"methods,":[147],"introduce":[148],"notions":[149],"regularization,":[151],"approximation,":[152],"regret,":[154],"explore":[155],"complexity":[156],"simple":[158],"settings,":[159],"develop":[161],"learning":[162],"rules":[163],"computing":[165],"such":[166],"equilibria.":[167],"doing":[169],"so,":[170],"provide":[172],"generalization":[174],"demonstrate":[179],"direct":[181],"applicability":[182],"elicited":[184],"human":[187],"experiments.":[188]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-12T00:00:00"}