Conservation laws arising in the study of forward-forward Mean-Field Games
Analysis of PDEs
2017-04-25 v1
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.
Keywords
Cite
@article{arxiv.1704.07209,
title = {Conservation laws arising in the study of forward-forward Mean-Field Games},
author = {Diogo Gomes and Levon Nurbekyan and Marc Sedjro},
journal= {arXiv preprint arXiv:1704.07209},
year = {2017}
}