{"id":"https://openalex.org/W7123365609","doi":"https://doi.org/10.1109/cdc57313.2025.11312792","title":"Approximation of Discrete-Time Infinite-Horizon Mean-Field Equilibria via Finite-Horizon Mean-Field Equilibria","display_name":"Approximation of Discrete-Time Infinite-Horizon Mean-Field Equilibria via Finite-Horizon Mean-Field Equilibria","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123365609","doi":"https://doi.org/10.1109/cdc57313.2025.11312792"},"language":"en","primary_location":{"id":"doi:10.1109/cdc57313.2025.11312792","doi":"https://doi.org/10.1109/cdc57313.2025.11312792","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312792","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2509.01039","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093096329","display_name":"U\u011fur Ayd\u0131n","orcid":"https://orcid.org/0000-0003-0499-9221","observed_orcids":["https://orcid.org/0000-0003-0499-9221"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"U\u011fur Ayd\u0131n","raw_affiliation_strings":["University of Illinois Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122895581","display_name":"Tamer Ba\u015far","orcid":"https://orcid.org/0000-0003-4406-7875","observed_orcids":["https://orcid.org/0000-0003-4406-7875"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamer Ba\u015far","raw_affiliation_strings":["University of Illinois Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029240602","display_name":"Naci Sald\u0131","orcid":"https://orcid.org/0000-0002-2677-7366","observed_orcids":["https://orcid.org/0000-0002-2677-7366"]},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Naci Saldi","raw_affiliation_strings":["Bilkent University,Department of Mathematics,Ankara,06800"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bilkent University,Department of Mathematics,Ankara,06800","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.68440083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.98580002784729,"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":0.98580002784729,"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":0.009600000455975533,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-field-games","display_name":"mean field games","score":0.996999979019165},{"id":"https://openalex.org/keywords/infinite-horizon-games","display_name":"infinite horizon games","score":0.8669999837875366},{"id":"https://openalex.org/keywords/finite-horizon-games","display_name":"finite-horizon games","score":0.9670000076293945},{"id":"https://openalex.org/keywords/stationary-equilibrium","display_name":"stationary equilibrium","score":0.777999997138977},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"weak convergence","score":0.7580000162124634},{"id":"https://openalex.org/keywords/contraction-rate","display_name":"contraction rate","score":0.7839999794960022},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.7459999918937683},{"id":"https://openalex.org/keywords/unknown-dynamics","display_name":"unknown dynamics","score":0.5770000219345093}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5501000285148621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4803999960422516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4749999940395355},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.45879998803138733},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.39579999446868896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3905999958515167},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.37380000948905945},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3411000072956085},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2863999903202057}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312792","doi":"https://doi.org/10.1109/cdc57313.2025.11312792","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312792","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2509.01039","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2509.01039","pdf_url":"https://arxiv.org/pdf/2509.01039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2509.01039","doi":"https://doi.org/10.48550/arxiv.2509.01039","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2509.01039","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2509.01039","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2509.01039","pdf_url":"https://arxiv.org/pdf/2509.01039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7506262489","display_name":null,"funder_award_id":"FA9550-24-1-0152","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7123365609.pdf","grobid_xml":"https://content.openalex.org/works/W7123365609.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1023560205","https://openalex.org/W1986431940","https://openalex.org/W2415721549","https://openalex.org/W2511279549","https://openalex.org/W2790183712","https://openalex.org/W2902676408","https://openalex.org/W3013079993","https://openalex.org/W3044306006","https://openalex.org/W4229706427","https://openalex.org/W4233762729","https://openalex.org/W4406986293","https://openalex.org/W4409142098"],"related_works":["https://openalex.org/W7204816466","https://openalex.org/W7213001767","https://openalex.org/W3127990283","https://openalex.org/W7199162076","https://openalex.org/W3013157007","https://openalex.org/W4400433914","https://openalex.org/W3161773474","https://openalex.org/W3202663487","https://openalex.org/W2955291419","https://openalex.org/W4406986293"],"abstract_inverted_index":{"We":[0,40],"address":[1],"in":[2,10,120,126],"this":[3,46],"paper":[4],"a":[5,42,57,72,89,130],"fundamental":[6],"question":[7],"that":[8,50,96,134,141,163],"arises":[9],"mean-field":[11,16],"games":[12],"(MFGs),":[13],"namely":[14],"whether":[15],"equilibria":[17],"(MFE)":[18],"for":[19,35,75,103,112],"discrete-time":[20],"finite-horizon":[21,59,97,121,139,164],"MFGs":[22,137,165],"can":[23,99,166],"be":[24],"used":[25,115],"to":[26,70,88,116,144,170],"obtain":[27,133],"approximate":[28,171],"stationary":[29,90,104,149],"as":[30,32,65,101],"well":[31],"non-stationary":[33,73,85],"MFE":[34,55,74,86,98,119,140,150,173],"similarly":[36],"structured":[37],"infinite-horizon":[38,78,172],"MFGs.":[39],"provide":[41],"rigorous":[43],"analysis":[44],"of":[45,54,56,157],"relationship,":[47],"and":[48],"show":[49,162],"any":[51],"accumulation":[52],"point":[53],"discounted":[58],"MFG":[60],"constitutes,":[61],"under":[62,81],"weak":[63],"convergence":[64],"the":[66,76,93,127,147,158],"time":[67],"horizon":[68],"goes":[69],"infinity,":[71],"corresponding":[77,148],"MFG.":[79],"Further,":[80],"certain":[82],"conditions,":[83],"these":[84],"converge":[87],"MFE,":[91],"establishing":[92],"appealing":[94],"result":[95],"serve":[100],"approximations":[102],"MFE.":[105],"Additionally,":[106],"we":[107,132,161],"establish":[108],"improved":[109],"contraction":[110],"rates":[111],"iterative":[113],"methods":[114],"compute":[117],"regularized":[118],"settings,":[122],"extending":[123],"existing":[124],"results":[125],"literature.":[128],"As":[129,154],"byproduct,":[131],"when":[135,174],"two":[136],"have":[138],"are":[142,151,177],"close":[143],"each":[145],"other,":[146],"also":[152],"close.":[153],"one":[155],"application":[156],"theoretical":[159],"results,":[160],"facilitate":[167],"learning-based":[168],"approaches":[169],"system":[175],"components":[176],"unknown.":[178]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-01-14T00:00:00"}
