{"id":"https://openalex.org/W4223529328","doi":"https://doi.org/10.1007/s43684-022-00024-4","title":"Exponentially convergent distributed Nash equilibrium seeking for constrained aggregative games","display_name":"Exponentially convergent distributed Nash equilibrium seeking for constrained aggregative games","publication_year":2022,"publication_date":"2022-04-12","ids":{"openalex":"https://openalex.org/W4223529328","doi":"https://doi.org/10.1007/s43684-022-00024-4"},"language":"en","primary_location":{"id":"doi:10.1007/s43684-022-00024-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43684-022-00024-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43684-022-00024-4.pdf","source":{"id":"https://openalex.org/S4210227358","display_name":"Autonomous Intelligent Systems","issn_l":"2730-616X","issn":["2730-616X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007/s43684-022-00024-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034709296","display_name":"Shu Liang","orcid":"https://orcid.org/0000-0002-9719-1987"},"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":"Shu Liang","raw_affiliation_strings":["Department of Control Science & Engineering, Tongji University, Shanghai, 200092, China","Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Science & Engineering, Tongji University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089663996","display_name":"Peng Yi","orcid":"https://orcid.org/0000-0002-2494-1505"},"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":true,"raw_author_name":"Peng Yi","raw_affiliation_strings":["Department of Control Science & Engineering, Tongji University, Shanghai, 200092, China","Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China"],"raw_orcid":"https://orcid.org/0000-0002-2494-1505","affiliations":[{"raw_affiliation_string":"Department of Control Science & Engineering, Tongji University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100359415","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 & Engineering, Tongji University, Shanghai, 200092, China","Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Science & Engineering, Tongji University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Shanghai Research Institute for Intelligent Autonomous Systems, Shanghai, 201210, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016153320","display_name":"Kaixiang Peng","orcid":"https://orcid.org/0000-0001-8314-3047"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaixiang Peng","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China","institution_ids":["https://openalex.org/I92403157"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089663996"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":1.3878,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79797871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9925000071525574,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9925000071525574,"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"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9889000058174133,"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/T11031","display_name":"Game Theory and Applications","score":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.849712610244751},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6936811208724976},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6212999224662781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5705505609512329},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.537241518497467},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5243294835090637},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5156651735305786},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4583733379840851},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4114503264427185},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3731081783771515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36939460039138794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35202252864837646},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08326300978660583}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.849712610244751},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6936811208724976},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6212999224662781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5705505609512329},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.537241518497467},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5243294835090637},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5156651735305786},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4583733379840851},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4114503264427185},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3731081783771515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36939460039138794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35202252864837646},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08326300978660583},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"doi:10.1007/s43684-022-00024-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43684-022-00024-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43684-022-00024-4.pdf","source":{"id":"https://openalex.org/S4210227358","display_name":"Autonomous Intelligent Systems","issn_l":"2730-616X","issn":["2730-616X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bc99529422e644a885267648c75e0cc1","is_oa":true,"landing_page_url":"https://doaj.org/article/bc99529422e644a885267648c75e0cc1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Autonomous Intelligent Systems, Vol 2, Iss 1, Pp 1-8 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s43684-022-00024-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43684-022-00024-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43684-022-00024-4.pdf","source":{"id":"https://openalex.org/S4210227358","display_name":"Autonomous Intelligent Systems","issn_l":"2730-616X","issn":["2730-616X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1714981014","display_name":null,"funder_award_id":"72171171","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3497390606","display_name":null,"funder_award_id":"61903027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4606321376","display_name":null,"funder_award_id":"2021SHZDZX0100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5812774633","display_name":null,"funder_award_id":"20YF1453000","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7342674176","display_name":null,"funder_award_id":"62003239","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4223529328.pdf","grobid_xml":"https://content.openalex.org/works/W4223529328.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1195279777","https://openalex.org/W1923997169","https://openalex.org/W2026018281","https://openalex.org/W2053497389","https://openalex.org/W2058626062","https://openalex.org/W2113702258","https://openalex.org/W2146281756","https://openalex.org/W2273484141","https://openalex.org/W2345998142","https://openalex.org/W2519129141","https://openalex.org/W2528535504","https://openalex.org/W2604966640","https://openalex.org/W2884713680","https://openalex.org/W2940605178","https://openalex.org/W2963649943","https://openalex.org/W2963784060","https://openalex.org/W2964528330","https://openalex.org/W2975476315","https://openalex.org/W2990138404","https://openalex.org/W3039554471","https://openalex.org/W3041493239","https://openalex.org/W3104258082","https://openalex.org/W3179333559","https://openalex.org/W4210870706","https://openalex.org/W4238591275"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2728657731","https://openalex.org/W2481143976","https://openalex.org/W1853631319","https://openalex.org/W2092374696","https://openalex.org/W2803932348","https://openalex.org/W3207342620","https://openalex.org/W2803931294","https://openalex.org/W2013767790","https://openalex.org/W3030822758"],"abstract_inverted_index":{"Abstract":[0],"Distributed":[1],"Nash":[2],"equilibrium":[3,76],"seeking":[4],"of":[5,22,47,83],"aggregative":[6],"games":[7,35],"is":[8,14,18,32,50],"investigated":[9],"and":[10,27,31,40,75],"a":[11],"continuous-time":[12],"algorithm":[13,17],"proposed.":[15],"The":[16,44],"designed":[19],"by":[20],"virtue":[21],"projected":[23,54],"gradient":[24],"play":[25],"dynamics":[26,55,68],"aggregation":[28],"tracking":[29],"dynamics,":[30],"applicable":[33],"to":[34],"with":[36],"constrained":[37],"strategy":[38],"sets":[39],"weight-balanced":[41],"communication":[42],"graphs.":[43],"key":[45],"feature":[46],"our":[48,84],"method":[49],"that":[51],"the":[52,81],"proposed":[53],"achieves":[56],"exponential":[57],"convergence,":[58],"whereas":[59],"such":[60],"convergence":[61],"results":[62],"are":[63],"only":[64],"obtained":[65],"for":[66],"non-projected":[67],"in":[69],"existing":[70],"works":[71],"on":[72],"distributed":[73],"optimization":[74],"seeking.":[77],"Numerical":[78],"examples":[79],"illustrate":[80],"effectiveness":[82],"methods.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}