Remarks on potential mean field games
Analysis of PDEs
2024-12-20 v2 Optimization and Control
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.
Cite
@article{arxiv.2405.15921,
title = {Remarks on potential mean field games},
author = {P. Jameson Graber},
journal= {arXiv preprint arXiv:2405.15921},
year = {2024}
}