{"id":"https://openalex.org/W4407638334","doi":"https://doi.org/10.1109/tcsi.2025.3539277","title":"Accelerated Nash Equilibrium Seeking for Constrained Multi-Cluster Games With Time-Varying Communication","display_name":"Accelerated Nash Equilibrium Seeking for Constrained Multi-Cluster Games With Time-Varying Communication","publication_year":2025,"publication_date":"2025-02-17","ids":{"openalex":"https://openalex.org/W4407638334","doi":"https://doi.org/10.1109/tcsi.2025.3539277"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2025.3539277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3539277","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5100617078","display_name":"Rui Zhu","orcid":"https://orcid.org/0000-0003-4680-5173"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Zhu","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-4680-5173","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101489876","display_name":"Fuyong Wang","orcid":"https://orcid.org/0000-0002-2747-9635"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuyong Wang","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-2747-9635","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019147450","display_name":"Zhongxin Liu","orcid":"https://orcid.org/0000-0002-3565-4800"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongxin Liu","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-3565-4800","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073105796","display_name":"Zengqiang Chen","orcid":"https://orcid.org/0000-0002-1415-4073"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengqiang Chen","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-1415-4073","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":6.0007,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.96143774,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"72","issue":"10","first_page":"6046","last_page":"6057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9419000148773193,"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":0.9419000148773193,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8059342503547668},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5362258553504944},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4955180883407593},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4924260079860687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48933881521224976},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.46430686116218567},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4595242440700531},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40326663851737976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29419970512390137},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15748336911201477}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8059342503547668},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5362258553504944},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4955180883407593},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4924260079860687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48933881521224976},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.46430686116218567},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4595242440700531},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40326663851737976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29419970512390137},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15748336911201477}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2025.3539277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3539277","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3142383687","display_name":null,"funder_award_id":"62,103,203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1494605365","https://openalex.org/W1988720110","https://openalex.org/W2103965104","https://openalex.org/W2124541940","https://openalex.org/W2134458998","https://openalex.org/W2137435346","https://openalex.org/W2207229987","https://openalex.org/W2604292427","https://openalex.org/W2763533254","https://openalex.org/W2915026742","https://openalex.org/W2973303672","https://openalex.org/W2999418630","https://openalex.org/W3003613721","https://openalex.org/W3006548771","https://openalex.org/W3011252985","https://openalex.org/W3013955056","https://openalex.org/W3046458528","https://openalex.org/W3092460168","https://openalex.org/W3116605176","https://openalex.org/W3159930161","https://openalex.org/W3175177495","https://openalex.org/W3177664073","https://openalex.org/W4213421918","https://openalex.org/W4288057952","https://openalex.org/W4313135766","https://openalex.org/W4321441990","https://openalex.org/W4366310787","https://openalex.org/W4367146670","https://openalex.org/W4387706034","https://openalex.org/W4389232943","https://openalex.org/W4389722488","https://openalex.org/W4390659113","https://openalex.org/W4391020428","https://openalex.org/W4392908890","https://openalex.org/W4394595189","https://openalex.org/W4402263915","https://openalex.org/W4402931897","https://openalex.org/W4407950651","https://openalex.org/W4410455382"],"related_works":["https://openalex.org/W2092374696","https://openalex.org/W1853631319","https://openalex.org/W4315489088","https://openalex.org/W2013767790","https://openalex.org/W2481143976","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W1667857601","https://openalex.org/W2803932348","https://openalex.org/W1976009178"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"distributed":[4],"accelerated":[5],"Nash":[6],"equilibrium":[7],"(NE)":[8],"seeking":[9],"algorithm":[10,55,87,106,155],"for":[11,130],"constrained":[12],"multi-cluster":[13],"games":[14],"with":[15,58,88],"time-varying":[16,36,144],"communication,":[17],"where":[18,61],"agents":[19],"in":[20,49,158],"the":[21,53,77,86,101,105,113,116,119,123,131,139,143,150,154,159,165,168],"same":[22],"cluster":[23],"are":[24,39,83,136],"cooperative,":[25],"while":[26],"there":[27],"is":[28,43,95,109,156],"competition":[29,64],"among":[30],"different":[31],"clusters.":[32],"Constraint":[33],"sets":[34],"and":[35,63,70,80,91,122,127,134,146],"interaction":[37],"networks":[38,145],"considered":[40],"simultaneously,":[41],"which":[42,163],"motivated":[44],"by":[45,138],"their":[46],"widespread":[47],"presence":[48],"practical":[50],"applications,":[51],"thereby":[52],"designed":[54,169],"can":[56],"deal":[57],"more":[59],"scenarios":[60],"cooperation":[62],"coexist.":[65],"To":[66],"attain":[67],"higher":[68],"flexibility":[69],"faster":[71],"convergence,":[72],"two":[73],"acceleration":[74,151],"techniques,":[75],"named":[76],"heavy-ball":[78],"method":[79],"Nesterov":[81],"momentum,":[82],"introduced":[84],"into":[85],"distinct":[89],"parameters,":[90],"an":[92],"average":[93],"parameter":[94],"employed":[96],"to":[97,107],"handle":[98],"constraints.":[99],"Furthermore,":[100],"linear":[102],"convergence":[103],"of":[104,142,153,167],"NE":[108],"confirmed":[110],"based":[111],"on":[112],"optimality":[114],"gap,":[115],"state":[117],"difference,":[118],"consensus":[120],"error":[121],"gradient":[124],"tracking":[125],"error,":[126],"explicit":[128],"bounds":[129],"step":[132],"size":[133],"parameters":[135],"derived":[137],"associated":[140],"properties":[141],"cost":[147],"function.":[148],"Finally,":[149],"effect":[152],"demonstrated":[157],"energy":[160],"management":[161],"system,":[162],"validates":[164],"feasibility":[166],"algorithm.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
