Conservation laws arising in the study of forward-forward Mean-Field Games

2017/04/24 by Gomes, Diogo, Nurbekyan, Levon, Sedjro, Marc
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.07209

Abstract

We consider forward-forward Mean Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of hyperbolic conservation laws as well as certain nonlinear wave equations. Second, we investigate existence and long-time behavior of solutions for such models.

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