Long time average of first order mean field games and weak KAM theory
Optimization and Control
2013-05-31 v1 Analysis of PDEs
Abstract
We show that the long time average of solutions of first order mean field game systems in finite horizon is governed by an ergodic system of mean field game type. The well-posedness of this later system and the uniqueness of the ergodic constant rely on weak KAM theory.
Keywords
Cite
@article{arxiv.1305.7012,
title = {Long time average of first order mean field games and weak KAM theory},
author = {Pierre Cardaliaguet},
journal= {arXiv preprint arXiv:1305.7012},
year = {2013}
}