{"id":"https://openalex.org/W7130530615","doi":"https://doi.org/10.48550/arxiv.2602.16234","title":"Computing Equilibria in Games with Stochastic Action Sets","display_name":"Computing Equilibria in Games with Stochastic Action Sets","publication_year":2026,"publication_date":"2026-02-18","ids":{"openalex":"https://openalex.org/W7130530615","doi":"https://doi.org/10.48550/arxiv.2602.16234"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.16234","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.16234","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,"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.2602.16234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126446291","display_name":"Thomas Schwarz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schwarz, Thomas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126389121","display_name":"Ryann Sim","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sim, Ryann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030456881","display_name":"Chun Kai Ling","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ling, Chun Kai","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":0.583299994468689,"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":0.583299994468689,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.3025999963283539,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.04479999840259552,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.6593999862670898},{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.6399999856948853},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5896999835968018},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5616000294685364},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5199999809265137},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.46790000796318054},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45260000228881836},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4115000069141388},{"id":"https://openalex.org/keywords/extensive-form-game","display_name":"Extensive-form game","score":0.36160001158714294}],"concepts":[{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.6593999862670898},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.6399999856948853},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5896999835968018},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5616000294685364},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5199999809265137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5149000287055969},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4726000130176544},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46790000796318054},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45260000228881836},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39329999685287476},{"id":"https://openalex.org/C146930158","wikidata":"https://www.wikidata.org/wiki/Q656416","display_name":"Extensive-form game","level":4,"score":0.36160001158714294},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.3560999929904938},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.3546999990940094},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.33980000019073486},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.3319999873638153},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32109999656677246},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.3082999885082245},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26899999380111694},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.2637999951839447},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.25}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.16234","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.16234","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,"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.2602.16234","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.16234","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,"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":0.44683486223220825,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,16,71,126],"learning":[3],"in":[4,20,114,154],"games":[5],"typically":[6],"assumes":[7],"that":[8,103,112,143],"each":[9,47],"player":[10,48],"always":[11],"has":[12],"access":[13],"to":[14,31,149,173],"all":[15],"their":[17],"actions.":[18],"However,":[19],"many":[21],"practical":[22],"scenarios,":[23],"players'":[24,69,82],"available":[25],"actions":[26],"might":[27],"be":[28,120],"restricted":[29],"due":[30],"exogenous":[32],"stochasticity.":[33],"To":[34],"model":[35],"this":[36],"setting,":[37],"for":[38,46,95],"a":[39,64,80,124,167],"game":[40],"$\\mathcal{G}_{\\mathrm{orig}}$":[41],"with":[42,55,151,156],"action":[43,73,104],"set":[44,70],"$A_i$":[45],"$i$,":[49],"we":[50,110,136,165],"introduce":[51,137],"the":[52,68,101,131,162],"corresponding":[53],"Game":[54],"Stochastic":[56],"Action":[57],"Sets":[58],"(GSAS)":[59],"which":[60],"is":[61],"parametrized":[62],"by":[63,123],"probability":[65,153],"distribution":[66],"over":[67],"possible":[72],"subsets":[74],"$\\mathcal{S}_i":[75],"\\subseteq":[76],"2^{\\vert":[77],"A_i\\vert}\\backslash\\{\\varnothing\\}$.":[78],"In":[79],"GSAS,":[81],"strategies":[83],"and":[84,92],"Nash":[85],"equilibria":[86],"(NE)":[87],"admit":[88],"prohibitively":[89],"large":[90],"representations,":[91],"existing":[93],"algorithms":[94],"NE":[96,113,150],"computation":[97],"scale":[98],"poorly.":[99],"Under":[100],"assumption":[102],"availabilities":[105],"are":[106],"independent":[107],"between":[108],"players,":[109],"show":[111],"two-player":[115],"zero-sum":[116],"(2p0s)":[117],"GSAS":[118],"can":[119],"compactly":[121,175],"represented":[122,176],"vector":[125],"size":[127],"$\\vert":[128],"A_i\\vert$,":[129],"overcoming":[130],"na\u00efve":[132],"exponential-sized":[133],"representation.":[134],"Computationally,":[135],"an":[138],"efficient":[139],"algorithm":[140],"called":[141],"SI-MWU":[142,163],"minimizes":[144],"sleeping":[145],"internal":[146],"regret,":[147],"converging":[148],"high":[152],"2p0s-GSAS":[155],"rate":[157],"$O(\\sqrt{\\log\\vert":[158],"A_i\\vert/T})$.":[159],"Finally,":[160],"using":[161],"iterates,":[164],"develop":[166],"procedure":[168],"based":[169],"on":[170],"stochastic":[171],"approximation":[172],"recover":[174],"NE.":[177]},"counts_by_year":[],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2026-02-20T00:00:00"}
