Special Session 131: 

Concentration phenomena in Mean Field Game systems with aggregation

Marco Cirant
Universit`a di Padova
Italy
Co-Author(s):    A. Cesaroni
Abstract:
I will present some results obtained in collaboration with A. Cesaroni (Padova) on stationary mean field game systems, that describe equilibrium configurations in a large population of rational individuals each of whom is subject to a coercive potential and an aggregation force. I will describe the variational framework for the analysis of these problems, and discuss concentration phenomena arising in the vanishing viscosity limit.