{"id":"https://openalex.org/W1976535313","doi":"https://doi.org/10.1109/cdc.2011.6161248","title":"Learning equilibria in constrained Nash-Cournot games with misspecified demand functions","display_name":"Learning equilibria in constrained Nash-Cournot games with misspecified demand functions","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1976535313","doi":"https://doi.org/10.1109/cdc.2011.6161248","mag":"1976535313"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-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":["Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana 61801, 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/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":false,"raw_author_name":"Uday V. Shanbhag","raw_affiliation_strings":["Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"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/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":false,"raw_author_name":"Sean P. Meyn","raw_affiliation_strings":["Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","Dept of Electrical and Computer Engineering, University of Illinois, Urbana 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electrical and Computer Engineering, University of Illinois, Urbana 61801, USA","institution_ids":[]}]}],"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":2.0486,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8654911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"1018","last_page":"1023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9948999881744385,"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":0.9948999881744385,"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/T12137","display_name":"Economic theories and models","score":0.9864000082015991,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.6698414087295532},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6491636633872986},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.593036949634552},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5771288275718689},{"id":"https://openalex.org/keywords/demand-curve","display_name":"Demand curve","score":0.4793863296508789},{"id":"https://openalex.org/keywords/inverse-demand-function","display_name":"Inverse demand function","score":0.46328988671302795},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46038225293159485},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.45604637265205383},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.43700987100601196},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3961564600467682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3721082806587219},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3542729318141937},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.15551406145095825}],"concepts":[{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.6698414087295532},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6491636633872986},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.593036949634552},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5771288275718689},{"id":"https://openalex.org/C176398731","wikidata":"https://www.wikidata.org/wiki/Q8981416","display_name":"Demand curve","level":2,"score":0.4793863296508789},{"id":"https://openalex.org/C143685982","wikidata":"https://www.wikidata.org/wiki/Q1376545","display_name":"Inverse demand function","level":3,"score":0.46328988671302795},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46038225293159485},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.45604637265205383},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.43700987100601196},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3961564600467682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3721082806587219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3542729318141937},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.15551406145095825},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6161248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W71785300","https://openalex.org/W82542660","https://openalex.org/W1543439990","https://openalex.org/W1554154521","https://openalex.org/W1571094495","https://openalex.org/W1918015919","https://openalex.org/W2003805080","https://openalex.org/W2067050450","https://openalex.org/W2098210187","https://openalex.org/W2105396893","https://openalex.org/W4241339016","https://openalex.org/W4248072209","https://openalex.org/W4301791716","https://openalex.org/W6633903458"],"related_works":["https://openalex.org/W1578423955","https://openalex.org/W2949793344","https://openalex.org/W2942107507","https://openalex.org/W2004176369","https://openalex.org/W2621908726","https://openalex.org/W1993446692","https://openalex.org/W3122277563","https://openalex.org/W1975948686","https://openalex.org/W3124065407","https://openalex.org/W3143857428"],"abstract_inverted_index":{"We":[0,47],"consider":[1,48],"a":[2,49,99,140],"constrained":[3],"Nash-Cournot":[4],"oligopoly":[5],"where":[6],"the":[7,26,33,36,39,63,79,83,87,95,108,114,119,124,129,144,156],"demand":[8,27,40,65],"function":[9,41,66],"is":[10,90,104],"linear.":[11],"While":[12],"cost":[13],"functions":[14],"and":[15,42,59,73,133],"capacities":[16],"are":[17,153],"public":[18],"information,":[19],"firms":[20,30,54],"only":[21],"have":[22],"partial":[23],"information":[24],"regarding":[25,62],"function.":[28],"Specifically,":[29],"either":[31],"know":[32],"intercept":[34],"or":[35],"slope":[37],"of":[38,78,86,113,116,121,123,131,150],"cannot":[43],"observe":[44],"aggregate":[45],"output.":[46],"learning":[50,88],"process":[51],"in":[52,111],"which":[53],"update":[55],"their":[56,60],"profit-maximizing":[57],"quantities":[58],"beliefs":[61],"unknown":[64],"parameters,":[67],"based":[68],"on":[69,143],"disparities":[70],"between":[71],"observed":[72],"estimated":[74],"prices.":[75],"A":[76],"characterization":[77],"mappings,":[80],"corresponding":[81],"to":[82,106],"fixed":[84],"point":[85],"process,":[89],"provided.":[91],"This":[92],"result":[93],"paves":[94],"way":[96],"for":[97,155],"developing":[98],"Tikhonov":[100],"regularization":[101],"scheme":[102],"that":[103],"shown":[105],"learn":[107],"correct":[109],"equilibrium,":[110],"spite":[112],"multiplicity":[115],"equilibria.":[117],"Despite":[118],"absence":[120],"monotonicity":[122],"gradient":[125,137],"maps,":[126],"we":[127],"prove":[128],"convergence":[130,151],"constant":[132,157],"diminishing":[134],"steplength":[135,158],"distributed":[136],"schemes":[138],"under":[139],"suitable":[141],"caveat":[142],"starting":[145],"points.":[146],"Notably,":[147],"precise":[148],"rate":[149],"estimates":[152],"provided":[154],"schemes.":[159]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}