{"id":"https://openalex.org/W7081986403","doi":"https://doi.org/10.1109/tac.2025.3610251","title":"Online Parameter Identification of Cost Functions in Generalized Nash Games","display_name":"Online Parameter Identification of Cost Functions in Generalized Nash Games","publication_year":2025,"publication_date":"2025-09-15","ids":{"openalex":"https://openalex.org/W7081986403","doi":"https://doi.org/10.1109/tac.2025.3610251"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3610251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3610251","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":null,"display_name":"Jianguo Chen","orcid":"https://orcid.org/0009-0002-4197-8657"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianguo Chen","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jinlong Lei","orcid":"https://orcid.org/0000-0003-1581-8932"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinlong Lei","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yiguang Hong","orcid":"https://orcid.org/0000-0001-9505-8739"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiguang Hong","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hongsheng Qi","orcid":"https://orcid.org/0000-0002-1698-7570"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongsheng Qi","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.6315856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"2","first_page":"1350","last_page":"1357"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6765999794006348,"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"}},"topics":[{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6765999794006348,"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"}},{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.02879999950528145,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.018200000748038292,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.6656000018119812},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6481999754905701},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5968999862670898},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.48019999265670776},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.478300005197525},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.46950000524520874},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4650999903678894},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.42010000348091125}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.6656000018119812},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6481999754905701},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6200000047683716},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5968999862670898},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.48019999265670776},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.478300005197525},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.46950000524520874},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4555000066757202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4433000087738037},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.42010000348091125},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.36910000443458557},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.33970001339912415},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.296999990940094},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25519999861717224}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3610251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3610251","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":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.5095019340515137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1977794212","https://openalex.org/W1994176432","https://openalex.org/W2017850498","https://openalex.org/W2054273958","https://openalex.org/W2060747729","https://openalex.org/W2079307575","https://openalex.org/W2081645288","https://openalex.org/W2098564215","https://openalex.org/W2118064636","https://openalex.org/W2130440600","https://openalex.org/W2140171944","https://openalex.org/W2164498579","https://openalex.org/W2567818190","https://openalex.org/W2789386227","https://openalex.org/W2950438991","https://openalex.org/W2963517058","https://openalex.org/W2982117252","https://openalex.org/W3118877686","https://openalex.org/W3128631749","https://openalex.org/W3159797474","https://openalex.org/W4200274709","https://openalex.org/W4213206621","https://openalex.org/W4226078145","https://openalex.org/W4293775970","https://openalex.org/W4308480220","https://openalex.org/W4386930071","https://openalex.org/W4388279027","https://openalex.org/W4406039960"],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"studies":[2],"the":[3,35,39,43,53,57,92,97,105,109,115,119,125,139,148,152,165,169,179,186,199,209,221],"online":[4,66,72,183,214],"parameter":[5,73,200],"identification":[6,74,201],"of":[7,118,168,182,189,202,211,220],"cost":[8,18,58,141],"functions":[9,142],"in":[10,56],"a":[11,70,81,130,203],"generalized":[12,120],"Nash":[13,121],"game,":[14],"where":[15,91],"each":[16],"player's":[17],"function":[19,84],"is":[20,50,112,127,172,216],"influenced":[21],"by":[22,38,114,129],"an":[23,65],"observable":[24,44],"signal":[25,45],"and":[26,47,68,89,151,176,185],"some":[27],"unknown":[28,54,149],"parameters.":[29],"A":[30],"learner":[31],"can":[32],"sequentially":[33],"observe":[34],"equilibria":[36],"reached":[37],"game":[40],"system":[41],"as":[42,64],"changes,":[46],"its":[48],"goal":[49],"to":[51,147,206,218],"identify":[52],"parameters":[55,150],"functions.":[59],"We":[60,134],"recast":[61],"this":[62],"problem":[63,205],"optimization":[67],"introduce":[69],"novel":[71],"algorithm.":[75],"To":[76],"be":[77],"specific,":[78],"we":[79,194],"construct":[80],"regularized":[82],"loss":[83],"that":[85,96,137,208,219],"balances":[86],"between":[87],"conservativeness":[88,93],"correctiveness,":[90],"term":[94,111],"ensures":[95],"renewed":[98],"estimates":[99],"do":[100],"not":[101],"deviate":[102],"significantly":[103],"from":[104],"current":[106,180],"estimates,":[107],"while":[108],"correctiveness":[110],"captured":[113],"Karush-Kuhn-Tucker":[116],"conditions":[117],"equilibrium.":[122],"For":[123],"which,":[124],"balance":[126],"adjusted":[128],"learning":[131,153],"rate":[132,154],"parameter.":[133],"then":[135],"prove":[136],"when":[138],"players'":[140],"are":[143],"linear":[144],"with":[145,162],"respect":[146],"satisfies":[155],"\u03bck":[156],"\u221d":[157],"1/":[158],"\u221a":[159],"k,":[160],"along":[161],"other":[163],"assumptions,":[164],"regret":[166],"bound":[167],"proposed":[170,213],"algorithm":[171,184,215],"O(\u221a":[173],"K)":[174],"(k":[175],"K":[177],"represent":[178],"round":[181],"total":[187],"rounds":[188],"games":[190],"played,":[191],"respectively).":[192],"Finally,":[193],"conduct":[195],"numerical":[196],"simulations":[197],"on":[198],"Nash-Cournot":[204],"demonstrate":[207],"performance":[210],"our":[212],"comparable":[217],"offline":[222],"setting.":[223]},"counts_by_year":[],"updated_date":"2026-02-01T03:34:12.195049","created_date":"2025-10-10T00:00:00"}