Special Session 22: Recent advances in mean field games for crowd dynamics

Algorithm for Deterministic Mean Field Games

Elisabetta Carlini
Sapienza University
Italy
Co-Author(s):    
Abstract:
We propose a numerical scheme to approximate deterministic Mean Field Games based on semi-Lagrangian and Lagrange-Galerkin methods. We discuss a convergence result of the nonlinear discrete system, obtained by discretization, to the MFGs system in general dimension. We also propose a Policy Algorithm to solve the nonlinear discrete system and present some numerical results.