Periodic equilibria for a first order Mean Field Game

Annalisa Cesaroni
Università di Padova

The talk will be devoted to the analysis of some first order variational Mean Field Game with density constraints and aggregating interactions. Under suitable symmetry assumptions, I will discuss the existence of periodic equilibria and the behaviour of these equilibria as the period goes to infinity. Finally, I present some results on the discrete counterpart of the problem, which involves the optimal evolution of a finite number of particles that are subject to constraints on reciprocal distances. The results I will present are obtained in collaboration with M. Cirant (Padova)

Presentation (PDF File)

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