{"id":"https://openalex.org/W4416050965","doi":"https://doi.org/10.4230/lipics.fsttcs.2025.9","title":"\u03b5-Stationary Nash Equilibria in Multi-Player Stochastic Graph Games","display_name":"\u03b5-Stationary Nash Equilibria in Multi-Player Stochastic Graph Games","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4416050965","doi":"https://doi.org/10.4230/lipics.fsttcs.2025.9"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2508.15356","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.15356","pdf_url":"https://arxiv.org/pdf/2508.15356","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2508.15356","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Asadi, Ali","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Asadi, Ali","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077895295","display_name":"L\u00e9onard Brice","orcid":"https://orcid.org/0000-0001-7748-7716"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brice, L\u00e9onard","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052607806","display_name":"Krishnendu Chatterjee","orcid":"https://orcid.org/0000-0002-4561-241X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chatterjee, Krishnendu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057216103","display_name":"K. S. Thejaswini","orcid":"https://orcid.org/0000-0001-6077-7514"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thejaswini, K. S.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37687066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.8769999742507935,"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":0.8769999742507935,"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":0.028200000524520874,"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/T11182","display_name":"Auction Theory and Applications","score":0.016599999740719795,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8065000176429749},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.7846999764442444},{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.7021999955177307},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.6481000185012817},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.6035000085830688},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.5644999742507935},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.49320000410079956},{"id":"https://openalex.org/keywords/trembling-hand-perfect-equilibrium","display_name":"Trembling hand perfect equilibrium","score":0.40950000286102295},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.3993000090122223}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8065000176429749},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.7846999764442444},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.7021999955177307},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6516000032424927},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.6481000185012817},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.6035000085830688},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.5644999742507935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5547999739646912},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44929999113082886},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.40950000286102295},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.3993000090122223},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C88959737","wikidata":"https://www.wikidata.org/wiki/Q1546627","display_name":"Strategy","level":3,"score":0.3882000148296356},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.38749998807907104},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C93979843","wikidata":"https://www.wikidata.org/wiki/Q7661306","display_name":"Symmetric equilibrium","level":5,"score":0.3544999957084656},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C93733245","wikidata":"https://www.wikidata.org/wiki/Q3770642","display_name":"Symmetric game","level":5,"score":0.32359999418258667},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.32170000672340393},{"id":"https://openalex.org/C107257861","wikidata":"https://www.wikidata.org/wiki/Q656316","display_name":"Coordination game","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C201364048","wikidata":"https://www.wikidata.org/wiki/Q2897085","display_name":"Sequential equilibrium","level":5,"score":0.296999990940094},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C47993264","wikidata":"https://www.wikidata.org/wiki/Q1518456","display_name":"Traveler's dilemma","level":5,"score":0.26579999923706055},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.25839999318122864}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2508.15356","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.15356","pdf_url":"https://arxiv.org/pdf/2508.15356","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:25089","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2025.9","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol360-fsttcs2025/LIPIcs.FSTTCS.2025.9/LIPIcs.FSTTCS.2025.9.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.48550/arxiv.2508.15356","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2508.15356","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":"article"},{"id":"doi:10.4230/lipics.fsttcs.2025.9","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fsttcs.2025.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2508.15356","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.15356","pdf_url":"https://arxiv.org/pdf/2508.15356","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416050965.pdf","grobid_xml":"https://content.openalex.org/works/W4416050965.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0,23],"strategy":[1,211],"profile":[2,24],"in":[3,111,171,202,219,276],"a":[4,8,19,102,113,140,143,182,200,210,250,256,263],"multi-player":[5],"game":[6,141],"is":[7,25,106,245],"Nash":[9,55,92,144,184,265],"equilibrium":[10,28,145,152,185,266],"if":[11,29,181,262],"no":[12,30],"player":[13,31],"can":[14,32,212],"unilaterally":[15,38],"deviate":[16],"to":[17,50,72,108,125,163],"achieve":[18,175],"strictly":[20],"better":[21],"payoff.":[22],"an":[26,131,150,164,197],"\u03b5-Nash":[27,48,127,151],"gain":[33],"more":[34],"than":[35],"\u03b5":[36,165],"by":[37,254],"deviating":[39],"from":[40],"their":[41],"strategy.":[42],"In":[43],"this":[44,121],"work,":[45],"we":[46,58,177,248],"use":[47,78],"equilibria":[49,93,128],"approximate":[51],"the":[52,87,135,147,160,191,203,220,238,242,274,277],"computation":[53],"of":[54,85,90,123,199,222,241],"equilibria.":[56],"Specifically,":[57],"focus":[59],"on":[60,66],"turn-based,":[61],"multiplayer":[62],"stochastic":[63],"games":[64],"played":[65],"graphs,":[67],"where":[68,95,190,273],"players":[69],"are":[70,194,279],"restricted":[71],"stationary":[73,91,126],"strategies":[74,76,278],"-":[75,94,105,158],"that":[77,133,153,180,208,237],"randomness":[79],"but":[80],"not":[81],"memory.":[82],"The":[83],"problem":[84,244],"deciding":[86],"constrained":[88,183,264],"existence":[89],"each":[96],"player\u2019s":[97],"payoff":[98],"must":[99,270],"lie":[100],"within":[101],"given":[103,139],"interval":[104],"known":[107],"be":[109,213,271],"\u2203\u211d-complete":[110],"such":[112,209,260],"setting":[114],"(Hansen":[115],"and":[116,129,224],"S\u00f8lvsten,":[117],"2020).":[118],"We":[119,205,234],"extend":[120],"line":[122],"work":[124,221],"present":[130],"algorithm":[132,169],"solves":[134],"following":[136],"promise":[137,243],"problem:":[138],"with":[142],"satisfying":[146],"constraints,":[148],"compute":[149],"\u03b5-satisfies":[154],"those":[155],"same":[156],"constraints":[157,161],"satisfies":[159],"up":[162],"additive":[166],"error.":[167],"Our":[168],"runs":[170],"FNP^NP":[172,232],"time.":[173],"To":[174],"this,":[176],"first":[178],"show":[179,236,249],"exists,":[186,267],"then":[187,268],"one":[188,272],"exists":[189],"non-zero":[192],"probabilities":[193,275],"at":[195],"least":[196],"inverse":[198],"double-exponential":[201],"input.":[204],"further":[206,235],"prove":[207],"encoded":[214],"using":[215],"floating-point":[216],"representations,":[217],"as":[218],"Frederiksen":[223],"Miltersen":[225],"(2013),":[226],"which":[227],"finally":[228],"gives":[229],"us":[230],"our":[231],"algorithm.":[233],"decision":[239],"version":[240],"NP-hard.":[246],"Finally,":[247],"partial":[251],"tightness":[252],"result":[253],"proving":[255],"lower":[257],"bound":[258],"for":[259],"techniques:":[261],"there":[269],"double-exponentially":[280],"small.":[281]},"counts_by_year":[],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}