Variational inequalities and mean-field games

PDE Seminar
Tuesday, January 17, 2017 - 3:05pm
1 hour (actually 50 minutes)
Skiles 006
We consider stationary monotone mean-field games (MFGs) and study the existence of weak solutions. We introduce a regularized problem that preserves the monotonicity and prove the existence of solutions to the regularized problem. Next, using Minty's method, we establish the existence of solutions for the original MFGs. Finally, we examine the properties of these weak solutions in several examples.