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arXiv · 1704.07209

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

Diogo Gomes·Levon Nurbekyan·Marc Sedjro
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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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Diogo Gomes, Levon Nurbekyan, Marc Sedjro. 2017-04-24. Conservation laws arising in the study of forward-forward Mean-Field Games. https://arxiv.org/abs/1704.07209

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