Calculus of Variations and Geometric Measure Theory
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M. Bardi - M. Cirant

Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions

created by bardi on 31 Jul 2017

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Submitted Paper

Inserted: 31 jul 2017
Last Updated: 31 jul 2017

Year: 2017

Abstract:

We study the uniqueness of solutions to systems of PDEs arising in Mean Field Games with several populations of agents and Neumann boundary conditions. The main assumption requires the smallness of some data, e.g., the length of the time horizon. This complements the existence results for MFG models of segregation phenomena introduced by the authors and Achdou. An application to robust Mean Field Games is also given.

Keywords: uniqueness of solutions, Mean Field Games, multi-populations, Neumann boundary conditions, robust Mean Field Games


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