English

Stable solutions in potential mean field game systems

Optimization and Control 2016-12-07 v1

Abstract

We introduce the notion of stable solution in mean field game theory: they are locally isolated solutions of the mean field game system. We prove that such solutions exist in potential mean field games and are local attractors for learning procedures.

Keywords

Cite

@article{arxiv.1612.01877,
  title  = {Stable solutions in potential mean field game systems},
  author = {Ariela Briani and Pierre Cardaliaguet},
  journal= {arXiv preprint arXiv:1612.01877},
  year   = {2016}
}
R2 v1 2026-06-22T17:14:58.798Z