{"id":"https://openalex.org/W2963749522","doi":"https://doi.org/10.1109/cdc.2016.7798808","title":"On social optima of non-cooperative mean field games","display_name":"On social optima of non-cooperative mean field games","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2963749522","doi":"https://doi.org/10.1109/cdc.2016.7798808","mag":"2963749522"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1607.04182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100444238","display_name":"Sen Li","orcid":"https://orcid.org/0000-0002-1177-7339"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"funder","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sen Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101481899","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0003-2577-9551"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"funder","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064240573","display_name":"Lin Zhao","orcid":"https://orcid.org/0000-0002-1078-887X"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"funder","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lin Zhao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012830322","display_name":"Jianming Lian","orcid":"https://orcid.org/0000-0003-1270-5350"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"funder","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianming Lian","raw_affiliation_strings":["Electricity Infrastructure Group, Pacific Northwest National Laboratory, Richland, WA"],"affiliations":[{"raw_affiliation_string":"Electricity Infrastructure Group, Pacific Northwest National Laboratory, Richland, WA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071892762","display_name":"Karanjit Kalsi","orcid":"https://orcid.org/0000-0003-1287-949X"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"funder","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karanjit Kalsi","raw_affiliation_strings":["Electricity Infrastructure Group, Pacific Northwest National Laboratory, Richland, WA"],"affiliations":[{"raw_affiliation_string":"Electricity Infrastructure Group, Pacific Northwest National Laboratory, Richland, WA","institution_ids":["https://openalex.org/I142606810"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.526,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":10,"citation_normalized_percentile":{"value":0.893048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":null,"issue":null,"first_page":"3584","last_page":"3590"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9946,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9946,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10471","display_name":"Climate Change Policy and Economics","score":0.9891,"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/T12137","display_name":"Economic theories and models","score":0.9869,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.6039649},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.41754305}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6665279},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.65084684},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.6039649},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5891664},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.544308},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.505132},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4950911},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.49310157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48631224},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4662845},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.42989913},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42083457},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42076927},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.41754305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.378048},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33188736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09425157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07106382},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06361866},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1607.04182","pdf_url":"https://arxiv.org/pdf/1607.04182","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1607.04182","pdf_url":"https://arxiv.org/pdf/1607.04182","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":23,"referenced_works":["https://openalex.org/W1076438846","https://openalex.org/W1534416612","https://openalex.org/W1576577548","https://openalex.org/W1607455690","https://openalex.org/W1808956822","https://openalex.org/W1983321045","https://openalex.org/W1983997656","https://openalex.org/W2011000015","https://openalex.org/W2022485768","https://openalex.org/W2023042366","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2057470999","https://openalex.org/W2074060273","https://openalex.org/W2088077079","https://openalex.org/W2097730910","https://openalex.org/W2117783125","https://openalex.org/W2136776938","https://openalex.org/W2164278908","https://openalex.org/W2265205659","https://openalex.org/W2481912266","https://openalex.org/W3104673208","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W4390439607","https://openalex.org/W4312141693","https://openalex.org/W4210735314","https://openalex.org/W2947806671","https://openalex.org/W2111030377","https://openalex.org/W2103821767","https://openalex.org/W2092374696","https://openalex.org/W2037619003","https://openalex.org/W1969185016","https://openalex.org/W1536009559"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,9,55,58,72,78,98,114,121,124],"connections":[4],"between":[5],"mean-field":[6],"games":[7,111],"and":[8,101],"social":[10,84],"welfare":[11,85],"optimization":[12,86,134],"problems.":[13],"We":[14,61],"consider":[15],"a":[16,24,48,82,94,106,132,142],"mean":[17,49,56,73,109,125],"field":[18,50,74,110,126],"game":[19,75],"in":[20,97,113],"functional":[21,99],"spaces":[22,100],"with":[23,77],"large":[25],"population":[26,59],"of":[27,30,42,57,71,108,123],"agents,":[28],"each":[29],"which":[31,136],"seeks":[32],"to":[33,81,105],"minimize":[34],"an":[35],"individual":[36],"cost":[37,40],"function.":[38],"The":[39,88],"functions":[41],"different":[43],"agents":[44],"are":[45,90],"coupled":[46],"through":[47],"term":[51],"that":[52,63,120],"depends":[53],"on":[54,93],"states.":[60],"show":[62],"under":[64],"some":[65],"mild":[66],"conditions":[67],"any":[68],"\u220a-Nash":[69],"equilibrium":[70,127],"coincides":[76],"optimal":[79],"solution":[80],"convex":[83,133],"problem.":[87],"results":[89],"proved":[91],"based":[92],"general":[95],"formulation":[96],"can":[102,128,137],"be":[103,129,138],"applied":[104],"variety":[107],"studied":[112],"literature.":[115],"Our":[116],"result":[117],"also":[118],"implies":[119],"computation":[122],"cast":[130],"as":[131],"problem,":[135],"efficiently":[139],"solved":[140],"by":[141],"decentralized":[143],"primal":[144],"dual":[145],"algorithm.":[146]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963749522","counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2025-04-20T13:24:31.135702","created_date":"2019-07-30"}