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arXiv · 2405.15921

Remarks on potential mean field games

P. Jameson Graber
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Abstract

In this expository article, we give an overview of the concept of potential mean field games of first order. We give a new proof that minimizers of the potential are equilibria by using a Lagrangian formulation. We also provide criteria to determine whether or not a game has a potential. Finally, we discuss in some depth the selection problem in mean field games, which consists in choosing one out of multiple Nash equilibria.

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P. Jameson Graber. 2024-05-24. Remarks on potential mean field games. https://arxiv.org/abs/2405.15921

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