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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

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Article accepté pour publication ou publié
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https://hal.archives-ouvertes.fr/hal-01408948
Date
2018
Nom de la revue
NoDEA. Nonlinear Differential Equations and Applications
Volume
25
Numéro
1
Éditeur
Springer
Identifiant publication
Métadonnées
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Auteur(s)
Briani, Ariela
Cardaliaguet, Pierre
Résumé (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.
Mots-clés
mean field game systems