{"id":"https://openalex.org/W2734933579","doi":"https://doi.org/10.1109/cdc.2017.8264121","title":"Radially symmetric mean-field games with congestion","display_name":"Radially symmetric mean-field games with congestion","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2734933579","doi":"https://doi.org/10.1109/cdc.2017.8264121","mag":"2734933579"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","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/A5006256932","display_name":"David Evangelista","orcid":"https://orcid.org/0000-0002-1942-4730"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"David Evangelista","raw_affiliation_strings":["Applied Power Electronics Lab, Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Power Electronics Lab, Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087528940","display_name":"Diogo A. Gomes","orcid":"https://orcid.org/0000-0002-3129-3956"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Diogo A. Gomes","raw_affiliation_strings":["Applied Power Electronics Lab, Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Power Electronics Lab, Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069946985","display_name":"Levon Nurbekyan","orcid":"https://orcid.org/0000-0002-6227-0941"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Levon Nurbekyan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7786,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86559977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3158","last_page":"3163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9993000030517578,"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":0.9993000030517578,"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/T12137","display_name":"Economic theories and models","score":0.9858999848365784,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4572555422782898},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42056915163993835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29062822461128235}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4572555422782898},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42056915163993835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29062822461128235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2017.8264121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1541281857","https://openalex.org/W1784282101","https://openalex.org/W1923729176","https://openalex.org/W1983321045","https://openalex.org/W1988313155","https://openalex.org/W2011000015","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2057470999","https://openalex.org/W2077743708","https://openalex.org/W2146662761","https://openalex.org/W2204493868","https://openalex.org/W2518857042","https://openalex.org/W2557843815","https://openalex.org/W2568458899","https://openalex.org/W2605856694","https://openalex.org/W2781535758","https://openalex.org/W2963326575","https://openalex.org/W2963918935","https://openalex.org/W2964042253","https://openalex.org/W3103922228","https://openalex.org/W4302335426","https://openalex.org/W6632371794","https://openalex.org/W6694825241","https://openalex.org/W6747494560"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2093578348","https://openalex.org/W2371931285","https://openalex.org/W2386655577","https://openalex.org/W2366703348","https://openalex.org/W2363925548","https://openalex.org/W1565599962"],"abstract_inverted_index":{"Here,":[0],"we":[1,51,69,85,93,105],"study":[2,94],"radial":[3,36],"solutions":[4,115],"for":[5,89],"first-":[6],"and":[7],"second-order":[8],"stationary":[9],"Mean-Field":[10],"Games":[11],"(MFG)":[12],"with":[13,22,61],"congestion":[14,23],"on":[15],"R":[16],"<sup":[17],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sup>":[19],".":[20],"MFGs":[21],"model":[24],"problems":[25],"where":[26],"the":[27,42,56,66,78,82,90,99,114,117],"agents'":[28],"motion":[29],"is":[30,39,47,59],"hampered":[31],"in":[32,53],"high-density":[33],"regions.":[34],"The":[35],"case,":[37,84,92],"which":[38],"one":[40,64],"of":[41,65,98,116],"simplest":[43],"non":[44],"one-dimensional":[45],"MFG,":[46],"relatively":[48],"tractable.":[49],"As":[50],"observe":[52],"this":[54,75],"paper,":[55],"Fokker-Planck":[57],"equation":[58,73],"integrable":[60],"respect":[62],"to":[63,109,113],"unknowns.":[67],"Consequently,":[68],"obtain":[70],"a":[71,95],"single":[72],"substituting":[74],"solution":[76],"into":[77],"Hamilton-Jacobi":[79],"equation.":[80,101],"For":[81],"first-order":[83],"derive":[86],"explicit":[87],"formulas;":[88],"elliptic":[91],"variational":[96],"formulation":[97],"resulting":[100],"In":[102],"both":[103],"cases,":[104],"use":[106],"our":[107],"approach":[108],"compute":[110],"numerical":[111],"approximations":[112],"corresponding":[118],"MFG":[119],"systems.":[120]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}