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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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https://hal.archives-ouvertes.fr/hal-01408948
Contributor : Pierre Cardaliaguet <>
Submitted on : Monday, December 5, 2016 - 3:24:39 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 9:27:41 AM

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  • HAL Id : hal-01408948, version 1
  • ARXIV : 1612.01877

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

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