{"id":"https://openalex.org/W4391020235","doi":"https://doi.org/10.1109/cdc49753.2023.10384194","title":"Linear Last-Iterate Convergence for Continuous Games with Coupled Inequality Constraints","display_name":"Linear Last-Iterate Convergence for Continuous Games with Coupled Inequality Constraints","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020235","doi":"https://doi.org/10.1109/cdc49753.2023.10384194"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10384194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10384194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100425917","display_name":"Min Meng","orcid":"https://orcid.org/0000-0002-5178-3290"},"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":"Min Meng","raw_affiliation_strings":["College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University,Department of Control Science and Engineering,Shanghai,China","Department of Control Science and Engineering, College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University,Department of Control Science and Engineering,Shanghai,China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering, College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037854048","display_name":"Xiuxian Li","orcid":"https://orcid.org/0000-0002-4938-0468"},"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":"Xiuxian Li","raw_affiliation_strings":["College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University,Department of Control Science and Engineering,Shanghai,China","Department of Control Science and Engineering, College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University,Department of Control Science and Engineering,Shanghai,China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering, College of Electronics and Information Engineering, Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1076","last_page":"1081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9984999895095825,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9790999889373779,"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/variational-inequality","display_name":"Variational inequality","score":0.7039514780044556},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.677362322807312},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6376764178276062},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6302480697631836},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6150503754615784},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5335175395011902},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5289454460144043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49082455039024353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.447483628988266},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07470893859863281}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7039514780044556},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.677362322807312},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6376764178276062},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6302480697631836},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6150503754615784},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5335175395011902},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5289454460144043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49082455039024353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.447483628988266},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07470893859863281},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10384194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10384194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G6011443015","display_name":null,"funder_award_id":"2022ZD0119701","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7960224033","display_name":null,"funder_award_id":"62003243,62103305,62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G897182718","display_name":null,"funder_award_id":"2021SHZDZX0100","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W2073515808","https://openalex.org/W2345998142","https://openalex.org/W2501656778","https://openalex.org/W2611964096","https://openalex.org/W2903396356","https://openalex.org/W2912932780","https://openalex.org/W2946319938","https://openalex.org/W2951873227","https://openalex.org/W2962910407","https://openalex.org/W2979667219","https://openalex.org/W3013955056","https://openalex.org/W3037996896","https://openalex.org/W3041493239","https://openalex.org/W3104002866","https://openalex.org/W3106325499","https://openalex.org/W3116605176","https://openalex.org/W3128631749","https://openalex.org/W3130805293","https://openalex.org/W3135623636","https://openalex.org/W3155284846","https://openalex.org/W3201700150","https://openalex.org/W3209408733","https://openalex.org/W4200252201","https://openalex.org/W4283815845","https://openalex.org/W4286233764","https://openalex.org/W4301791716","https://openalex.org/W4307475259","https://openalex.org/W4309202186","https://openalex.org/W4321441990","https://openalex.org/W4389722180","https://openalex.org/W4391020235","https://openalex.org/W6748972340","https://openalex.org/W6756633790","https://openalex.org/W6758557334","https://openalex.org/W6763299524","https://openalex.org/W6790673855","https://openalex.org/W6795003574","https://openalex.org/W6803744846","https://openalex.org/W6839901538","https://openalex.org/W6841123880","https://openalex.org/W6846795947","https://openalex.org/W6847102602"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2728657731","https://openalex.org/W2092374696","https://openalex.org/W1853631319","https://openalex.org/W2481143976","https://openalex.org/W2803932348","https://openalex.org/W3207342620","https://openalex.org/W2607684552","https://openalex.org/W2013767790","https://openalex.org/W4241870466"],"abstract_inverted_index":{"In":[0],"this":[1,49],"paper,":[2],"the":[3,67,71,83,89,97,120,123],"generalized":[4],"Nash":[5],"equilibrium":[6],"(GNE)":[7],"seeking":[8,66,105],"problem":[9],"for":[10,65,88],"continuous":[11],"games":[12],"with":[13],"coupled":[14,108],"affine":[15,109],"inequality":[16,110],"constraints":[17],"is":[18,63,96,116],"investigated":[19],"in":[20],"a":[21,51,101,113],"partial-decision":[22],"information":[23,33],"scenario,":[24],"where":[25],"each":[26],"player":[27],"can":[28],"only":[29],"access":[30],"its":[31,38],"neighbors'":[32],"through":[34],"local":[35],"communication":[36],"although":[37],"cost":[39],"function":[40],"possibly":[41],"depends":[42],"on":[43,57],"all":[44],"other":[45],"players'":[46],"strategies.":[47],"To":[48],"end,":[50],"novel":[52],"decentralized":[53],"primal-dual":[54],"algorithm":[55,85,106],"based":[56],"consensus":[58],"and":[59],"dual":[60],"diffusion":[61],"methods":[62],"devised":[64],"variational":[68],"GNE":[69,104],"of":[70,122],"studied":[72],"games.":[73],"This":[74],"paper":[75],"also":[76],"provides":[77],"theoretical":[78,125],"analysis":[79],"to":[80,92,99,118],"show":[81],"that":[82],"designed":[84],"converges":[86],"linearly":[87,102],"last-iterate,":[90],"which,":[91],"our":[93],"best":[94],"knowledge,":[95],"first":[98],"propose":[100],"convergent":[103],"under":[107],"constraints.":[111],"Finally,":[112],"numerical":[114],"example":[115],"presented":[117],"demonstrate":[119],"efficiency":[121],"obtained":[124],"results.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
