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dc.contributor.authorFerreira, Rita
dc.contributor.authorGomes, Diogo A.
dc.contributor.authorYang, Xianjin
dc.date.accessioned2020-03-25T13:14:22Z
dc.date.available2019-12-25T13:23:37Z
dc.date.available2020-03-25T13:14:22Z
dc.date.issued2020-02-14
dc.date.submitted2019-07-09
dc.identifier.citationFerreira, R., Gomes, D., & Yang, X. (2020). Two-scale homogenization of a stationary mean-field game. ESAIM: Control, Optimisation and Calculus of Variations, 26, 17. doi:10.1051/cocv/2020002
dc.identifier.doi10.1051/cocv/2020002
dc.identifier.urihttp://hdl.handle.net/10754/660832
dc.description.abstractIn this paper, we characterize the asymptotic behavior of a first-order stationary mean-field game (MFG) with a logarithm coupling, a quadratic Hamiltonian, and a periodically oscillating potential. This study falls into the realm of the homogenization theory, and our main tool is the two-scale convergence. Using this convergence, we rigorously derive the two-scale homogenized and the homogenized MFG problems, which encode the so-called macroscopic or effective behavior of the original oscillating MFG. Moreover, we prove existence and uniqueness of the solution to these limit problems.
dc.description.sponsorshipThe authors were supported by King Abdullah University of Science and Technology (KAUST) baseline funds and KAUST OSR-CRG2017-3452.
dc.publisherEDP Sciences
dc.relation.urlhttps://www.esaim-cocv.org/10.1051/cocv/2020002
dc.rightsArchived with thanks to ESAIM: Control, Optimisation and Calculus of Variations
dc.titleTwo-scale homogenization of a stationary mean-field game
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalESAIM: Control, Optimisation and Calculus of Variations
dc.eprint.versionPost-print
dc.identifier.arxivid1905.02046
kaust.personFerreira, Rita
kaust.personGomes, Diogo A.
kaust.personYang, Xianjin
kaust.grant.numberOSR-CRG2017-3452
dc.date.accepted2019-12-30
refterms.dateFOA2019-12-25T13:23:59Z
kaust.acknowledged.supportUnitOSR
dc.date.published-online2020-02-14
dc.date.published-print2020
dc.date.posted2019-05-06


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