{"id":"https://openalex.org/W4402288757","doi":"https://doi.org/10.23919/acc60939.2024.10644921","title":"Large-Scale Multi-Agent System Optimization with Fixed Final Density Constraints: An Imbalanced Mean-Field Game Theory","display_name":"Large-Scale Multi-Agent System Optimization with Fixed Final Density Constraints: An Imbalanced Mean-Field Game Theory","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4402288757","doi":"https://doi.org/10.23919/acc60939.2024.10644921"},"language":"en","primary_location":{"id":"doi:10.23919/acc60939.2024.10644921","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10644921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","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/A5007676060","display_name":"Shawon Dey","orcid":"https://orcid.org/0000-0002-8874-3807"},"institutions":[{"id":"https://openalex.org/I134113660","display_name":"University of Nevada, Reno","ror":"https://ror.org/01keh0577","country_code":"US","type":"education","lineage":["https://openalex.org/I134113660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shawon Dey","raw_affiliation_strings":["University of Nevada,Department of Electrical and Biomedical Engineering,Reno,NV,USA,89557"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Nevada,Department of Electrical and Biomedical Engineering,Reno,NV,USA,89557","institution_ids":["https://openalex.org/I134113660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100717008","display_name":"Hao Xu","orcid":"https://orcid.org/0000-0002-8149-4609"},"institutions":[{"id":"https://openalex.org/I134113660","display_name":"University of Nevada, Reno","ror":"https://ror.org/01keh0577","country_code":"US","type":"education","lineage":["https://openalex.org/I134113660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hao Xu","raw_affiliation_strings":["University of Nevada,Department of Electrical and Biomedical Engineering,Reno,NV,USA,89557"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Nevada,Department of Electrical and Biomedical Engineering,Reno,NV,USA,89557","institution_ids":["https://openalex.org/I134113660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I134113660"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"869","last_page":"874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.993399977684021,"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"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.993399977684021,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9901999831199646,"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/T11031","display_name":"Game Theory and Applications","score":0.9872000217437744,"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/game-theory","display_name":"Game theory","score":0.606972873210907},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.584040641784668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5548280477523804},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4731127917766571},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44333258271217346},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.41575801372528076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25330471992492676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19164246320724487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17847222089767456},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.10530483722686768}],"concepts":[{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.606972873210907},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.584040641784668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5548280477523804},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4731127917766571},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44333258271217346},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.41575801372528076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25330471992492676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19164246320724487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17847222089767456},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.10530483722686768},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc60939.2024.10644921","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10644921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G266287223","display_name":"CAREER: Toward Hierarchical Game Theory and Hybrid Learning Framework for Safe, Efficient Large-scale Multi-agent Systems","funder_award_id":"2144646","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2283060","https://openalex.org/W1591723504","https://openalex.org/W1983523797","https://openalex.org/W2038686546","https://openalex.org/W2050838777","https://openalex.org/W2103924086","https://openalex.org/W2107726111","https://openalex.org/W2116384962","https://openalex.org/W2170096173","https://openalex.org/W2799899844","https://openalex.org/W3153042747","https://openalex.org/W4245727854","https://openalex.org/W4285119242","https://openalex.org/W4386293008","https://openalex.org/W4392729277"],"related_works":["https://openalex.org/W2938786841","https://openalex.org/W2982120024","https://openalex.org/W4401959232","https://openalex.org/W2791813836","https://openalex.org/W4256291048","https://openalex.org/W4255358048","https://openalex.org/W2782696245","https://openalex.org/W2038629209","https://openalex.org/W2059761707","https://openalex.org/W2361379498"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,15,29,64,114,131],"novel":[4,65],"distributed":[5,81,128],"optimization":[6],"algorithm":[7,79,134,158],"for":[8],"large-scale":[9],"multi-agent":[10],"systems":[11],"(LS-MAS),":[12],"particularly":[13],"with":[14,74,113],"given":[16],"fixed":[17,53],"final":[18,54,95],"density":[19,56,96],"constraint.":[20,59],"Although":[21],"the":[22,34,94,104,121,127,139,152,155],"Mean":[23],"field":[24],"game":[25],"(MFG)":[26],"theory":[27,70,106],"provides":[28],"distribution":[30],"solution":[31,140],"to":[32,92,137],"overcome":[33,61],"\u201cCurse":[35],"of":[36,50,141,154],"dimensionality\u201d":[37],"in":[38],"LS-MAS,":[39],"it":[40],"significantly":[41],"sacrifices":[42],"LS-MAS":[43],"optimality":[44],"and":[45,80,124,146],"also":[46],"not":[47],"be":[48],"capable":[49],"achieving":[51],"arbitrary":[52],"probability":[55],"function":[57],"(PDF)":[58],"To":[60,119],"these":[62],"challenges,":[63],"Imbalanced":[66],"Mean-Field":[67],"Game":[68],"(Imb-MFG)":[69],"is":[71,90,107,135,159],"developed":[72,91,122,156],"along":[73],"an":[75,85],"adaptive":[76],"PDF":[77,87],"decomposition":[78],"reinforcement":[82],"learning.":[83],"Specifically,":[84],"induction-based":[86],"parameter":[88],"estimation":[89],"decompose":[93],"constraints":[97],"into":[98],"multiple":[99],"imbalanced":[100],"norm":[101],"distributions.":[102],"Then,":[103],"Imb-MFG":[105,123],"designed":[108,136],"by":[109],"integrating":[110],"multi-group":[111,142],"MFG":[112],"constrained":[115],"K-means":[116],"clustering":[117],"algorithm.":[118],"solve":[120],"further":[125],"obtain":[126],"optimal":[129],"solution,":[130],"multi-actor-critic-mass":[132],"(Multi-ACM)":[133],"learn":[138],"coupled":[143],"Hamilton-Jacobi-Bellman":[144],"(HJB)":[145],"Fokker-Planck-Kolmogorov":[147],"(FPK)":[148],"equations":[149],"simultaneously.":[150],"Finally,":[151],"convergence":[153],"Multi-ACM":[157],"guaranteed":[160],"through":[161],"Lyapunov":[162],"analysis.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}