{"id":"https://openalex.org/W3175177495","doi":"https://doi.org/10.1109/tcyb.2022.3155687","title":"Distributed Nash Equilibrium Seeking in Consistency-Constrained Multicoalition Games","display_name":"Distributed Nash Equilibrium Seeking in Consistency-Constrained Multicoalition Games","publication_year":2022,"publication_date":"2022-03-25","ids":{"openalex":"https://openalex.org/W3175177495","doi":"https://doi.org/10.1109/tcyb.2022.3155687","mag":"3175177495","pmid":"https://pubmed.ncbi.nlm.nih.gov/35333728"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2022.3155687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3155687","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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":"Jialing Zhou","orcid":"https://orcid.org/0000-0002-3979-1458"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jialing Zhou","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-3979-1458","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yuezu Lv","orcid":"https://orcid.org/0000-0002-7757-9028"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuezu Lv","raw_affiliation_strings":["Advanced Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7757-9028","affiliations":[{"raw_affiliation_string":"Advanced Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["Department of Systems Science, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"Department of Systems Science, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu L\u00fc","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0275-8387","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":null,"display_name":"Dezhi Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dezhi Zheng","raw_affiliation_strings":["Advanced Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.0348,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.96911438,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"53","issue":"6","first_page":"3675","last_page":"3687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.3587999939918518,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.3587999939918518,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.19259999692440033,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.17350000143051147,"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":0.7253000140190125},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6291999816894531},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5195000171661377},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.49869999289512634},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48980000615119934},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4440999925136566},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43540000915527344},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.42250001430511475}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7253000140190125},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6291999816894531},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5745000243186951},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5195000171661377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5170999765396118},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.49869999289512634},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49549999833106995},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48980000615119934},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43540000915527344},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.42250001430511475},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.3889000117778778},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.3783999979496002},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.37279999256134033},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3077999949455261},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.30070000886917114},{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.27149999141693115},{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.2696000039577484},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.2615000009536743}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2022.3155687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3155687","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:35333728","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35333728","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G329618287","display_name":null,"funder_award_id":"61903083","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3523307272","display_name":null,"funder_award_id":"61621003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5060958647","display_name":null,"funder_award_id":"62073079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5220679092","display_name":null,"funder_award_id":"2021TQ0039","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G561250190","display_name":null,"funder_award_id":"62141604","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6151682142","display_name":null,"funder_award_id":"62003167","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320327514","display_name":"Beijing Institute of Technology Research Fund Program for Young Scholars","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W2056226204","https://openalex.org/W2084044206","https://openalex.org/W2128658178","https://openalex.org/W2129454099","https://openalex.org/W2275030070","https://openalex.org/W2501656778","https://openalex.org/W2588148443","https://openalex.org/W2766957556","https://openalex.org/W2801481166","https://openalex.org/W2805316908","https://openalex.org/W2915026742","https://openalex.org/W2962833434","https://openalex.org/W2963649943","https://openalex.org/W3006548771","https://openalex.org/W3042859406","https://openalex.org/W3044414915","https://openalex.org/W3102834687","https://openalex.org/W3135910512","https://openalex.org/W3217547593","https://openalex.org/W4299439662","https://openalex.org/W4321441990"],"related_works":[],"abstract_inverted_index":{"The":[0],"distributed":[1,157],"Nash":[2],"equilibrium":[3],"(NE)":[4],"seeking":[5,88],"problem":[6],"for":[7,97],"multicoalition":[8,142],"games":[9,37,143,152],"has":[10],"attracted":[11],"increasing":[12],"attention":[13],"in":[14,145,159],"recent":[15],"years,":[16],"but":[17],"the":[18,23,51,58,69,74,84,107,131,140,149,164],"research":[19],"mainly":[20],"focuses":[21],"on":[22,64,118],"case":[24],"without":[25],"agreement":[26,63],"demand":[27,59],"within":[28,89],"coalitions.":[29],"This":[30],"article":[31,147],"considers":[32],"a":[33,91,160],"class":[34],"of":[35,53,60,86,103,106,113,130],"networked":[36,151],"among":[38,73,153],"multiple":[39,45],"coalitions":[40],"where":[41],"each":[42,98],"coalition":[43],"contains":[44],"agents":[46,75],"that":[47,139],"cooperate":[48],"to":[49,57,79,172],"minimize":[50],"sum":[52],"their":[54,65],"costs,":[55],"subject":[56],"reaching":[61],"an":[62,101,111,120],"state":[66,115,122],"values.":[67],"Furthermore,":[68],"underlying":[70],"network":[71],"topology":[72],"does":[76],"not":[77],"need":[78],"be":[80],"balanced.":[81],"To":[82],"achieve":[83],"goal":[85],"NE":[87],"such":[90],"context,":[92],"two":[93],"estimates":[94],"are":[95],"constructed":[96],"agent,":[99],"namely,":[100],"estimate":[102,112],"partial":[104],"derivatives":[105],"cost":[108],"function":[109],"and":[110,156,163],"global":[114],"values,":[116],"based":[117],"which,":[119],"iterative":[121],"updating":[123],"law":[124],"is":[125,134,137],"elaborately":[126],"designed.":[127],"Linear":[128],"convergence":[129],"proposed":[132,165],"algorithm":[133,166],"demonstrated.":[135],"It":[136],"shown":[138],"consistency-constrained":[141],"investigated":[144],"this":[146],"put":[148],"well-studied":[150],"individual":[154],"players":[155],"optimization":[158],"unified":[161],"framework,":[162],"can":[167],"easily":[168],"degenerate":[169],"into":[170],"solutions":[171],"these":[173],"problems.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-07-05T00:00:00"}