Special Session 131: 

On mean field models with several populations

Mathieu Lauriere
ORFE, Princeton University
USA
Co-Author(s):    Alain Bensoussan, Tao Huang
Abstract:
In this talk, we compare four situations for two-population mean field models. We distinguish between cooperative or competitive equilibria (mean field type control problems and mean field games respectively), and between one or several objective functions. For each problem, we derive formally the PDE system characterizing the equilibria. As an illustration, we consider the case of linear-quadratic models and some models for crowd motion. Based on joint works with Alain Bensoussan and Tao Huang.