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.
Type de document :
Article dans une revue
Nonlinear Differential Equations and Applications, Springer Verlag, 2018, 25 (1)
https://hal.archives-ouvertes.fr/hal-01408948
Contributeur : Pierre Cardaliaguet
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Soumis le : lundi 5 décembre 2016 - 15:24:39
Dernière modification le : jeudi 7 février 2019 - 16:12:13
Document(s) archivé(s) le : mardi 21 mars 2017 - 09:27:41
Ariela Briani, Pierre Cardaliaguet. Stable solutions in potential mean field game systems. Nonlinear Differential Equations and Applications, Springer Verlag, 2018, 25 (1). 〈hal-01408948〉
