{"id":"https://openalex.org/W2485392636","doi":"https://doi.org/10.1109/tac.2017.2742061","title":"Distributed Computation of Equilibria in Misspecified Convex Stochastic Nash Games","display_name":"Distributed Computation of Equilibria in Misspecified Convex Stochastic Nash Games","publication_year":2017,"publication_date":"2017-08-21","ids":{"openalex":"https://openalex.org/W2485392636","doi":"https://doi.org/10.1109/tac.2017.2742061","mag":"2485392636"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2742061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2742061","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100712102","display_name":"Hao Jiang","orcid":"https://orcid.org/0000-0001-5891-6044"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hao Jiang","raw_affiliation_strings":["Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047034022","display_name":"Uday V. Shanbhag","orcid":"https://orcid.org/0000-0001-5869-9561"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Uday V. Shanbhag","raw_affiliation_strings":["Industrial and Manufacturing Engineering, Pennsylvania State University, University Park, PA, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and Manufacturing Engineering, Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047988825","display_name":"Sean Meyn","orcid":"https://orcid.org/0000-0002-8558-365X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean P. Meyn","raw_affiliation_strings":["Department of Electrical and Computer, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100712102"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":2.9647,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.90913133,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"63","issue":"2","first_page":"360","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9955999851226807,"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":0.9955999851226807,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9897000193595886,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.5771851539611816},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5732846260070801},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.546180784702301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43010973930358887},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.41453471779823303},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.41377437114715576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39578694105148315},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39172494411468506}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5771851539611816},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5732846260070801},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.546180784702301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43010973930358887},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.41453471779823303},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.41377437114715576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39578694105148315},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39172494411468506},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2017.2742061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2742061","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W71785300","https://openalex.org/W207897951","https://openalex.org/W594357522","https://openalex.org/W750498331","https://openalex.org/W1483572256","https://openalex.org/W1490458594","https://openalex.org/W1499021337","https://openalex.org/W1519314965","https://openalex.org/W1543439990","https://openalex.org/W1568288633","https://openalex.org/W1571094495","https://openalex.org/W1605188341","https://openalex.org/W1800670492","https://openalex.org/W1918015919","https://openalex.org/W1975687805","https://openalex.org/W1976535313","https://openalex.org/W1979926481","https://openalex.org/W1995594966","https://openalex.org/W2006247455","https://openalex.org/W2026355589","https://openalex.org/W2027163871","https://openalex.org/W2041660125","https://openalex.org/W2053680135","https://openalex.org/W2068869385","https://openalex.org/W2078552451","https://openalex.org/W2086161653","https://openalex.org/W2098210187","https://openalex.org/W2101406872","https://openalex.org/W2103641595","https://openalex.org/W2104142951","https://openalex.org/W2105396893","https://openalex.org/W2106622011","https://openalex.org/W2113702258","https://openalex.org/W2130974234","https://openalex.org/W2140208620","https://openalex.org/W2155203646","https://openalex.org/W2156341689","https://openalex.org/W2158898097","https://openalex.org/W2159399694","https://openalex.org/W2176451521","https://openalex.org/W2485636667","https://openalex.org/W2963333308","https://openalex.org/W2964121860","https://openalex.org/W3101495100","https://openalex.org/W3148958427","https://openalex.org/W4230129716","https://openalex.org/W4231831983","https://openalex.org/W4233360132","https://openalex.org/W4239378297","https://openalex.org/W4243772471","https://openalex.org/W4244717920","https://openalex.org/W4247165901","https://openalex.org/W4248072209","https://openalex.org/W4301791716","https://openalex.org/W6629106101","https://openalex.org/W6633903458"],"related_works":["https://openalex.org/W3126040898","https://openalex.org/W2171023763","https://openalex.org/W3007157979","https://openalex.org/W1819566284","https://openalex.org/W2036500683","https://openalex.org/W186265485","https://openalex.org/W2763189502","https://openalex.org/W2916073656","https://openalex.org/W2026643568","https://openalex.org/W3123680704"],"abstract_inverted_index":{"The":[0],"distributed":[1,20,79],"computation":[2],"of":[3,19,29,32,48,74,149,184,205],"Nash":[4,68],"equilibria":[5,28],"is":[6,186],"assuming":[7],"growing":[8],"relevance":[9],"in":[10,16,45,82,124,141,151,159,224],"engineering":[11],"where":[12,178],"such":[13],"problems":[14],"emerge":[15],"the":[17,46,58,63,84,98,120,130,135,142,146,160,182,217,221],"context":[18],"control.":[21],"Accordingly,":[22],"we":[23,179],"present":[24,71],"schemes":[25,78,210],"for":[26,214],"computing":[27],"two":[30],"classes":[31],"static":[33],"stochastic":[34,67,76],"convex":[35],"games":[36,166],"complicated":[37],"by":[38],"a":[39,42,72,92,152,156,175,198],"parametric":[40],"misspecification,":[41],"natural":[43],"concern":[44],"control":[47],"large-scale":[49],"networked":[50],"engineered":[51],"system.":[52],"In":[53],"both":[54],"schemes,":[55],"players":[56],"learn":[57],"equilibrium":[59,132,143,218],"strategy":[60,90,133,144,192],"while":[61,188],"resolving":[62],"misspecification:":[64],"1)":[65,173],"Monotone":[66],"games:":[69],"We":[70,115,171],"set":[73],"coupled":[75],"approximation":[77],"across":[80],"agents":[81],"which":[83],"first":[85],"scheme":[86,100],"updates":[87,101],"each":[88],"agent's":[89,103],"via":[91],"projected":[93],"(stochastic)":[94],"gradient":[95],"step,":[96],"whereas":[97],"second":[99],"every":[102],"belief":[104],"regarding":[105],"its":[106],"misspecified":[107,222],"parameter":[108,223],"using":[109],"an":[110,125,225],"independently":[111],"specified":[112],"learning":[113,216],"problem.":[114],"proceed":[116],"to":[117,129,174],"show":[118],"that":[119,181],"produced":[121],"sequences":[122],"converge":[123],"almost":[126,226],"sure":[127,227],"sense":[128,154],"true":[131,136],"and":[134,191,220],"parameter,":[137],"respectively.":[138],"Surprisingly,":[139],"convergence":[140,150],"achieves":[145],"optimal":[147],"rate":[148,161],"mean-squared":[153],"with":[155,167],"quantifiable":[157],"degradation":[158],"constant;":[162],"2)":[163],"Stochastic":[164],"Nash-Cournot":[165],"unobservable":[168,187],"aggregate":[169],"output:":[170],"refine":[172],"Cournot":[176],"setting":[177],"assume":[180],"tuple":[183],"strategies":[185,219],"payoff":[189],"functions":[190],"sets":[193],"are":[194,211],"public":[195],"knowledge":[196,200],"through":[197],"common":[199],"assumption.":[201],"By":[202],"utilizing":[203],"observations":[204],"noise-corrupted":[206],"prices,":[207],"iterative":[208],"fixed-point":[209],"developed,":[212],"allowing":[213],"simultaneously":[215],"sense.":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}