Special Session 82: Recent Advances in Nonlinear PDEs and Free Boundary Problems

Variational principles in mean-field games and related problems
Levon Nurbekyan
Emory University
USA
Co-Author(s):    
Abstract:
Mean-field game (MFG) systems are challenging nonlinear PDEs, often requiring a non-standard analysis approach. In this talk, I`ll discuss several variational principles for MFG that substantially aid the analyses by importing tools from the calculus of variations. I`ll also discuss ensuing future research directions.