Dimension reduction techniques in deterministic mean field games
Analysis of PDEs
2021-05-07 v1
Abstract
We present examples of equations arising in the theory of mean field games that can be reduced to a system in smaller dimensions. Such examples come up in certain applications, and they can be used as modeling tools to numerically approximate more complicated problems. General conditions that bring about reduction phenomena are presented in both the finite and infinite state-space cases. We also compare solutions of equations with noise with their reduced versions in a small-noise expansion.
Keywords
Cite
@article{arxiv.2105.02718,
title = {Dimension reduction techniques in deterministic mean field games},
author = {Jean-Michel Lasry and Pierre-Louis Lions and Benjamin Seeger},
journal= {arXiv preprint arXiv:2105.02718},
year = {2021}
}