Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games

Diogo A. Gomes, Levon Nurbekyan, Marc Sedjro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.
Original languageEnglish (US)
Title of host publicationTheory, Numerics and Applications of Hyperbolic Problems I
PublisherSpringer Nature
Pages643-649
Number of pages7
ISBN (Print)9783319915449
DOIs
StatePublished - Jun 23 2018

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