{"id":"https://openalex.org/W4286306134","doi":"https://doi.org/10.23919/ascc56756.2022.9828290","title":"Social Optima in Linear Quadratic Mean Field Control with Heterogeneous Agents","display_name":"Social Optima in Linear Quadratic Mean Field Control with Heterogeneous Agents","publication_year":2022,"publication_date":"2022-05-04","ids":{"openalex":"https://openalex.org/W4286306134","doi":"https://doi.org/10.23919/ascc56756.2022.9828290"},"language":"en","primary_location":{"id":"doi:10.23919/ascc56756.2022.9828290","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828290","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 13th Asian Control Conference (ASCC)","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/A5066540049","display_name":"Tinghan Xie","orcid":"https://orcid.org/0000-0002-6987-166X"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tinghan Xie","raw_affiliation_strings":["Hong Kong Polytechnic University,Department of Applied Mathematics,Hong Kong,China","Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hong Kong Polytechnic University,Department of Applied Mathematics,Hong Kong,China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017397385","display_name":"Bing\u2010Chang Wang","orcid":"https://orcid.org/0000-0003-3882-8615"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing-Chang Wang","raw_affiliation_strings":["Shandong University,School of Control Science and Engineering,Jinan,China","School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong University,School of Control Science and Engineering,Jinan,China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6553,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89044039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1607","last_page":"1612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9785000085830688,"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/dimension","display_name":"Dimension (graph theory)","score":0.646317183971405},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6283497214317322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5802533030509949},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5648473501205444},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5466381907463074},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5374283194541931},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.515240490436554},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49106907844543457},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.48037582635879517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47591763734817505},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43993204832077026},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43680644035339355},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4317065477371216},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4181726574897766},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3262936472892761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2993301749229431},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16423025727272034},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1577126681804657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13078570365905762},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08099246025085449}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.646317183971405},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6283497214317322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5802533030509949},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5648473501205444},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5466381907463074},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5374283194541931},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.515240490436554},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49106907844543457},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.48037582635879517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47591763734817505},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43993204832077026},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43680644035339355},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4317065477371216},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4181726574897766},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3262936472892761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2993301749229431},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16423025727272034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1577126681804657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13078570365905762},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08099246025085449},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ascc56756.2022.9828290","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828290","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 13th Asian Control Conference (ASCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7099999785423279}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311026","display_name":"Shandong University","ror":"https://ror.org/0207yh398"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W586490843","https://openalex.org/W1576577548","https://openalex.org/W1892605293","https://openalex.org/W1983997656","https://openalex.org/W2038686546","https://openalex.org/W2074060273","https://openalex.org/W2097730910","https://openalex.org/W2129951390","https://openalex.org/W2570651529","https://openalex.org/W2744197922","https://openalex.org/W2888559564","https://openalex.org/W2894302989","https://openalex.org/W2950816672","https://openalex.org/W3048620049","https://openalex.org/W3080928172","https://openalex.org/W3096809873","https://openalex.org/W3125241416","https://openalex.org/W3133286650","https://openalex.org/W3136482180","https://openalex.org/W3201616531","https://openalex.org/W4230008158","https://openalex.org/W4297852499","https://openalex.org/W6840356872"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2726381554","https://openalex.org/W2002357820","https://openalex.org/W2334216590","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2244442793"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"a":[3,45,48],"class":[4],"of":[5,29,37],"heterogeneous":[6],"linear":[7],"quadratic":[8],"mean":[9,58],"field":[10,59],"team":[11],"(LQ-MFT)":[12],"control":[13],"problems.":[14],"We":[15],"reform":[16],"the":[17,23,27,30,35,41,57],"original":[18],"direct":[19],"approach":[20],"and":[21],"tackle":[22],"problem":[24],"by":[25],"ascending":[26],"dimension":[28],"LQ-MFT":[31],"system":[32,43,52],"according":[33],"to":[34],"number":[36],"categories.":[38],"By":[39],"solving":[40],"high-dimensional":[42,49],"with":[44],"nonhomogeneous":[46],"relationship,":[47],"Riccati":[50],"equation":[51],"can":[53],"be":[54],"obtained":[55],"after":[56],"approximation.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}