This was part of Mathematical Advances in Mean Field Games
MFG with aggregation: existence and nonexistence of equilibria
Marco Cirant, Università degli Studi di Padova
Wednesday, December 15, 2021
Abstract: I will discuss in this talk the issue of existence of solutions to viscous MFG systems with superlinear Hamiltonian and unbounded decreasing coupling. I will first review some existence results in the ergodic and the evolutive case. Then, I will present some recent results on the nonexistence of solutions when the coupling has a strong aggregative effect (joint work with D. Ghilli).