{"id":"https://openalex.org/W4210543330","doi":"https://doi.org/10.1109/cdc45484.2021.9683629","title":"Critical Nodes in Graphon Mean Field Games","display_name":"Critical Nodes in Graphon Mean Field Games","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210543330","doi":"https://doi.org/10.1109/cdc45484.2021.9683629"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683629","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683629","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE 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/A5083144358","display_name":"Rinel Foguen Tchuendom","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rinel Foguen Tchuendom","raw_affiliation_strings":["McGill University,Department of Electrical and Computer Engineering and the Center for Intelligent Machines,Montreal,Canada,H3A 0C3","Group For Research in Decision Analysis (GERAD), Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"McGill University,Department of Electrical and Computer Engineering and the Center for Intelligent Machines,Montreal,Canada,H3A 0C3","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Group For Research in Decision Analysis (GERAD), Montreal, Canada","institution_ids":["https://openalex.org/I4210133247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044187847","display_name":"Peter E. Caines","orcid":"https://orcid.org/0000-0002-5248-9456"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Peter E. Caines","raw_affiliation_strings":["McGill University,Department of Electrical and Computer Engineering and the Center for Intelligent Machines,Montreal,Canada,H3A 0C3","Group For Research in Decision Analysis (GERAD), Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"McGill University,Department of Electrical and Computer Engineering and the Center for Intelligent Machines,Montreal,Canada,H3A 0C3","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Group For Research in Decision Analysis (GERAD), Montreal, Canada","institution_ids":["https://openalex.org/I4210133247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082825311","display_name":"Minyi Huang","orcid":"https://orcid.org/0000-0003-1145-5281"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Minyi Huang","raw_affiliation_strings":["Carleton University,School of Mathematics and Statistics,Ottawa,ON,Canada","School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Carleton University,School of Mathematics and Statistics,Ottawa,ON,Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083144358"],"corresponding_institution_ids":["https://openalex.org/I4210133247","https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":4.2182,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92857143,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"166","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9954000115394592,"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":0.9821000099182129,"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/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.830456018447876},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5676932334899902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5282974243164062},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5231388807296753},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4275241494178772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41028526425361633},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3565289378166199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3512499928474426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22263261675834656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1430189609527588},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13462460041046143},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.11222365498542786}],"concepts":[{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.830456018447876},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5676932334899902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5282974243164062},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5231388807296753},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4275241494178772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41028526425361633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3565289378166199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3512499928474426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22263261675834656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1430189609527588},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13462460041046143},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.11222365498542786},{"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:10.1109/cdc45484.2021.9683629","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683629","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W273178449","https://openalex.org/W2011000015","https://openalex.org/W2057470999","https://openalex.org/W2592169312","https://openalex.org/W2741585463","https://openalex.org/W2776678297","https://openalex.org/W2796181543","https://openalex.org/W2913811578","https://openalex.org/W2963384252","https://openalex.org/W2991615392","https://openalex.org/W3028787943","https://openalex.org/W3130991459","https://openalex.org/W3209096915","https://openalex.org/W4230008158","https://openalex.org/W4288019148","https://openalex.org/W6759431874"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W2115005925","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W1998777431","https://openalex.org/W2101783086","https://openalex.org/W2037500647","https://openalex.org/W2466810109"],"abstract_inverted_index":{"We":[0,44,67],"propose":[1],"to":[2,27,41],"study":[3],"what":[4],"shall":[5],"be":[6,28],"termed":[7],"critical":[8,23,74],"nodes":[9,24,30,49,75],"for":[10,50,84],"a":[11],"family":[12],"of":[13,47,57,72],"Linear":[14],"Quadratic":[15],"Gaussian":[16],"Graphon":[17],"Mean":[18],"Field":[19],"Games":[20],"(LQG-GMFG).":[21],"The":[22],"are":[25,54],"defined":[26],"those":[29],"at":[31],"which":[32],"the":[33,51,55,64,70,77,81,85],"local":[34],"mean":[35],"field":[36],"is":[37],"stationary":[38],"with":[39],"respect":[40],"its":[42],"index.":[43],"present":[45],"examples":[46],"such":[48],"graphons":[52],"that":[53],"limits":[56],"(i)":[58],"uniform":[59],"attachment":[60],"graph":[61],"and":[62,80],"(ii)":[63],"Erdos-Renyi":[65],"graphs.":[66],"also":[68],"investigate":[69],"properties":[71],"these":[73],"on":[76],"value":[78],"functions":[79],"equilibrium":[82],"startegies":[83],"LQG-GMFG.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-25T21:42:39.735039","created_date":"2025-10-10T00:00:00"}
