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.
https://hal.archives-ouvertes.fr/hal-01408948 Contributor : Pierre CardaliaguetConnect in order to contact the contributor Submitted on : Monday, December 5, 2016 - 3:24:39 PM Last modification on : Tuesday, January 18, 2022 - 3:24:16 PM Long-term archiving on: : Tuesday, March 21, 2017 - 9:27:41 AM
Ariela Briani, Pierre Cardaliaguet. Stable solutions in potential mean field game systems. Nonlinear Differential Equations and Applications, Springer Verlag, 2018, 25 (1). ⟨hal-01408948⟩