Homogenization of a Mean Field Game System in the Small Noise Limit

DOI10.1137/16M1063459zbMath1347.35028arXiv1602.08520MaRDI QIDQ3188319

Claudio Marchi, Nicolas Dirr, Annalisa Cesaroni

Publication date: 19 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08520

zbMATH Keywords

weak convergenceperiodic homogenizationergodic problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Games with infinitely many players (91A07) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items (7)

Stationary equilibria and their stability in a Kuramoto MFG with strong interaction ⋮ Two-scale homogenization of a stationary mean-field game ⋮ A singular perturbation problem for mean field games of acceleration: application to mean field games of control ⋮ An introduction to mean field game theory ⋮ Homogenization of the backward-forward mean-field games systems in periodic environments ⋮ Ergodic mean field games with Hörmander diffusions ⋮ An ergodic problem for Mean Field Games: qualitative properties and numerical simulations

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