Stable solutions in potential mean field game systems

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 some learning procedures.

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Bibliographic Details
Published in:Nonlinear differential equations and applications 2018-02, Vol.25 (1), Article 1
Main Authors: Briani, Ariela, Cardaliaguet, Pierre
Format: Article
Language:English
Subjects:
Analysis
Game theory
Mathematics
Mathematics and Statistics
Optimization and Control
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Description
Summary: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 some learning procedures.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-017-0493-3