Uniqueness of solutions to MFG systems with large discount
Analysis of PDEs
2025-10-13 v1
Abstract
We prove that solutions to a class of Mean Field Game systems with discount are unique provided that the discount factor is large enough, and the Lagrangian term is (proportionally) small enough. This identifies an asymptotic uniqueness regime that falls outside the usual ones involving monotonicity.
Cite
@article{arxiv.2510.09280,
title = {Uniqueness of solutions to MFG systems with large discount},
author = {Marco Cirant and Elisa Continelli},
journal= {arXiv preprint arXiv:2510.09280},
year = {2025}
}