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math.OC2016
Stable solutions in potential mean field game systems
Ariela Briani, Pierre Cardaliaguet
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 poten…
math.OC2016
Value function for regional control problems via dynamic programming and Pontryagin maximum principle
Guy Barles, Ariela Briani, Emmanuel Trélat
In this paper we focus on regional deterministic optimal control problems, i.e., problems where the dynamics and the cost functional may be different in several regions of the stat…