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arxiv: 1704.07209 · v1 · pith:2YIZKWVHnew · submitted 2017-04-24 · 🧮 math.AP

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

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keywords modelsconservationforward-forwardlawsapproximationsarisearisingbehavior
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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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