{"id":"https://openalex.org/W7155074367","doi":"https://doi.org/10.48550/arxiv.2604.16944","title":"A Sequence-Form Formulation of Logistic Quantal Response Equilibrium in Extensive-Form Games for Selecting Nash Equilibria","display_name":"A Sequence-Form Formulation of Logistic Quantal Response Equilibrium in Extensive-Form Games for Selecting Nash Equilibria","publication_year":2026,"publication_date":"2026-04-18","ids":{"openalex":"https://openalex.org/W7155074367","doi":"https://doi.org/10.48550/arxiv.2604.16944"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.16944","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.16944","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":null,"license_id":null,"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.2604.16944","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134162311","display_name":"Yuqing Hou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hou, Yuqing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Cao, Yiyin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cao, Yiyin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Dang, Chuangyin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dang, Chuangyin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Wang, Yong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yong","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":0.5310999751091003,"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":0.5310999751091003,"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/T12158","display_name":"Guidance and Control Systems","score":0.0502999983727932,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.04899999871850014,"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":0.7458999752998352},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5882999897003174},{"id":"https://openalex.org/keywords/logit","display_name":"Logit","score":0.576200008392334},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5214999914169312},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.47859999537467957},{"id":"https://openalex.org/keywords/trembling-hand-perfect-equilibrium","display_name":"Trembling hand perfect equilibrium","score":0.46129998564720154},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.45089998841285706},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44119998812675476},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4325999915599823},{"id":"https://openalex.org/keywords/rationality","display_name":"Rationality","score":0.41499999165534973}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7458999752998352},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6654000282287598},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5882999897003174},{"id":"https://openalex.org/C140331021","wikidata":"https://www.wikidata.org/wiki/Q1868104","display_name":"Logit","level":2,"score":0.576200008392334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5504999756813049},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5214999914169312},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.47859999537467957},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.46129998564720154},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.45089998841285706},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44119998812675476},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4404999911785126},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.41499999165534973},{"id":"https://openalex.org/C201364048","wikidata":"https://www.wikidata.org/wiki/Q2897085","display_name":"Sequential equilibrium","level":5,"score":0.40630000829696655},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3882000148296356},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.38440001010894775},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.3666999936103821},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C2776225642","wikidata":"https://www.wikidata.org/wiki/Q3150644","display_name":"Independence of irrelevant alternatives","level":3,"score":0.3499000072479248},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.3384000062942505},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.3239000141620636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29030001163482666},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.28519999980926514},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.27799999713897705},{"id":"https://openalex.org/C123650614","wikidata":"https://www.wikidata.org/wiki/Q282491","display_name":"Strategic dominance","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C95057490","wikidata":"https://www.wikidata.org/wiki/Q6883984","display_name":"Mixed logit","level":3,"score":0.26570001244544983},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.16944","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.16944","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.16944","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.16944","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"For":[0],"an":[1,139],"extensive-form":[2],"game,":[3],"logistic":[4,35,79,92],"quantal":[5],"response":[6],"equilibrium":[7],"(QRE)":[8],"is":[9,41],"defined":[10],"with":[11],"respect":[12],"to":[13,29,95,105],"its":[14,73],"associated":[15,113],"normal":[16,39],"form":[17,40,69],"and":[18,70,116,153],"provides":[19],"a":[20,62,88,96,106],"natural":[21],"equilibrium-selection":[22,147],"mechanism":[23],"as":[24,131],"the":[25,38,45,51,67,77,112,119,122,128,132,146,150],"rationality":[26],"parameter":[27],"tends":[28],"infinity.":[30],"However,":[31],"direct":[32],"computation":[33],"of":[34,53,91,121,149],"QRE":[36,93],"in":[37,50,66],"generally":[42],"impractical":[43],"because":[44],"strategy":[46,99],"space":[47],"grows":[48],"exponentially":[49],"number":[52],"information":[54],"sets.":[55],"To":[56],"address":[57],"this":[58,83],"difficulty,":[59],"we":[60,85,117,136],"construct":[61],"dilated-entropy-barrier":[63],"artificial":[64],"game":[65],"sequence":[68],"prove":[71],"that":[72],"Nash":[74],"equilibria":[75],"characterize":[76],"corresponding":[78,123],"QREs.":[80],"Building":[81],"on":[82],"characterization,":[84],"further":[86],"develop":[87],"sequence-form":[89],"formulation":[90,102],"relative":[94],"totally":[97],"mixed":[98],"profile.":[100],"This":[101],"gives":[103],"rise":[104],"differentiable":[107],"path-following":[108],"method":[109],"for":[110],"tracing":[111],"logit-QRE":[114],"path,":[115],"establish":[118],"existence":[120],"smooth":[124,141],"path.":[125,142],"By":[126],"recasting":[127],"dilated-entropy":[129],"terms":[130],"standard":[133],"entropy":[134],"terms,":[135],"additionally":[137],"derive":[138],"equivalent":[140],"Numerical":[143],"experiments":[144],"illustrate":[145],"process":[148],"proposed":[151],"methods":[152],"evaluate":[154],"their":[155],"computational":[156],"performance.":[157]},"counts_by_year":[],"updated_date":"2026-07-16T05:54:29.318815","created_date":"2026-04-22T00:00:00"}