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Journal Articles Nonlinear Differential Equations and Applications Year : 2018

Stable solutions in potential mean field game systems

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.
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Dates and versions

hal-01408948 , version 1 (05-12-2016)

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Ariela Briani, Pierre Cardaliaguet. Stable solutions in potential mean field game systems. Nonlinear Differential Equations and Applications, 2018, 25 (1). ⟨hal-01408948⟩
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