Videos

Homogenization of a stationary mean-field game via two-scale convergence

Presenter
May 6, 2020
Abstract
Rita Ferreira - King Abdullah Univ. of Science and Technology (KAUST) In this talk, we address the study of 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. This is a joint work with Diogo Gomes (KAUST) and Xianjin Yang (KAUST).
Supplementary Materials