{"id":"https://openalex.org/W2788007063","doi":"https://doi.org/10.1137/18m1172363","title":"On the (In)efficiency of MFG Equilibria","display_name":"On the (In)efficiency of MFG Equilibria","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2788007063","doi":"https://doi.org/10.1137/18m1172363","mag":"2788007063"},"language":"en","primary_location":{"id":"doi:10.1137/18m1172363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1172363","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1802.06637","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032926943","display_name":"Pierre Cardaliaguet","orcid":"https://orcid.org/0000-0002-9322-6783"},"institutions":[{"id":"https://openalex.org/I171048554","display_name":"Centre de Recherche en Math\u00e9matiques de la D\u00e9cision","ror":"https://ror.org/03s0gj002","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I2746051580","https://openalex.org/I4210141950","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Cardaliaguet","raw_affiliation_strings":["CEREMADE"],"affiliations":[{"raw_affiliation_string":"CEREMADE","institution_ids":["https://openalex.org/I171048554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007125124","display_name":"Catherine Rainer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Catherine Rainer","raw_affiliation_strings":["LM"],"affiliations":[{"raw_affiliation_string":"LM","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032926943"],"corresponding_institution_ids":["https://openalex.org/I171048554"],"apc_list":null,"apc_paid":null,"fwci":0.5475,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79635206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"57","issue":"4","first_page":"2292","last_page":"2314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9983000159263611,"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":0.9983000159263611,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9718999862670898,"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/T11031","display_name":"Game Theory and Applications","score":0.9557999968528748,"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":0.784162163734436},{"id":"https://openalex.org/keywords/social-planner","display_name":"Social planner","score":0.711567759513855},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6845550537109375},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.6476752758026123},{"id":"https://openalex.org/keywords/planner","display_name":"Planner","score":0.5173068046569824},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.49167734384536743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44773876667022705},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.404433935880661},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.264055997133255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23662441968917847},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.2335752248764038}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.784162163734436},{"id":"https://openalex.org/C2777706055","wikidata":"https://www.wikidata.org/wiki/Q7551303","display_name":"Social planner","level":2,"score":0.711567759513855},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6845550537109375},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.6476752758026123},{"id":"https://openalex.org/C2776999362","wikidata":"https://www.wikidata.org/wiki/Q2349274","display_name":"Planner","level":2,"score":0.5173068046569824},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49167734384536743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44773876667022705},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.404433935880661},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.264055997133255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23662441968917847},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.2335752248764038},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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":6,"locations":[{"id":"doi:10.1137/18m1172363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1172363","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.06637","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.06637","pdf_url":"https://arxiv.org/pdf/1802.06637","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2788007063","is_oa":true,"landing_page_url":"http://es.arxiv.org/pdf/1802.06637","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01711419v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01711419","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2019, 57 (4), pp.2292-2314. ⟨10.1137/18M1172363⟩","raw_type":"Journal articles"},{"id":"pmh:oai:basepub.dauphine.fr:123456789/18574","is_oa":false,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/18574","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article accept\u00e9 pour publication ou publi\u00e9"},{"id":"doi:10.48550/arxiv.1802.06637","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.06637","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.06637","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.06637","pdf_url":"https://arxiv.org/pdf/1802.06637","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1526250527","https://openalex.org/W1576577548","https://openalex.org/W1820663283","https://openalex.org/W1949202343","https://openalex.org/W2011000015","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2039256361","https://openalex.org/W2048138547","https://openalex.org/W2057470999","https://openalex.org/W2075099603","https://openalex.org/W2077743708","https://openalex.org/W2077787105","https://openalex.org/W2097730910","https://openalex.org/W2112269231","https://openalex.org/W2149953340","https://openalex.org/W2151960821","https://openalex.org/W2171081201","https://openalex.org/W2468041409","https://openalex.org/W2610414461","https://openalex.org/W2949769853","https://openalex.org/W2963362338","https://openalex.org/W2964078161"],"related_works":["https://openalex.org/W3019340934","https://openalex.org/W1592072815","https://openalex.org/W2765482034","https://openalex.org/W2950813162","https://openalex.org/W3202684132","https://openalex.org/W2108444537","https://openalex.org/W1998973734","https://openalex.org/W2164793771","https://openalex.org/W2944812987","https://openalex.org/W1996920228","https://openalex.org/W112323504","https://openalex.org/W2116838426","https://openalex.org/W2606739124","https://openalex.org/W1603534221","https://openalex.org/W1506757928","https://openalex.org/W3138627403","https://openalex.org/W2475724920","https://openalex.org/W2978924418","https://openalex.org/W2186991568","https://openalex.org/W2952558254"],"abstract_inverted_index":{"Mean":[0],"field":[1],"games":[2,6],"(MFGs)":[3],"are":[4],"dynamic":[5],"with":[7,33],"infinitely":[8],"many":[9],"infinitesimal":[10],"agents.":[11],"In":[12],"this":[13,60],"context,":[14],"we":[15,24],"study":[16],"the":[17,26,34,48],"efficiency":[18],"of":[19,29],"Nash":[20],"MFG":[21,31,55,68],"equilibria;":[22],"namely,":[23],"compare":[25],"social":[27],"cost":[28,36],"an":[30],"equilibrium":[32],"minimal":[35],"a":[37,44],"global":[38],"planner":[39],"can":[40],"achieve.":[41],"We":[42],"find":[43],"structure":[45],"condition":[46,61],"on":[47],"game":[49],"under":[50],"which":[51],"there":[52],"exist":[53],"efficient":[54],"equilibria":[56,69],"and,":[57],"in":[58],"case":[59],"is":[62],"not":[63],"fulfilled,":[64],"quantify":[65],"how":[66],"inefficient":[67],"are.":[70]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}