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
modified on 18 Jun 2018


Accepted Paper

Inserted: 31 jul 2017
Last Updated: 18 jun 2018

Journal: "PDE models for multi-agent phenomena", P. Cardaliaguet, A. Porretta, F. Salvarani editors, Springer INdAM Series
Year: 2017

ArXiv: 1709.02158 PDF


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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