Thumbnail - No thumbnail

Stable solutions in potential mean field game systems

Briani, Ariela; Cardaliaguet, Pierre (2018), Stable solutions in potential mean field game systems, NoDEA. Nonlinear Differential Equations and Applications, 25, 1. 10.1007/s00030-017-0493-3

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01408948
Date
2018
Journal name
NoDEA. Nonlinear Differential Equations and Applications
Volume
25
Number
1
Publisher
Springer
Publication identifier
Metadata
Show full item record
Author(s)
Briani, Ariela
Cardaliaguet, Pierre
Abstract (EN)
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.
Subjects / Keywords
mean field game systems