Variational inequalities and mean-field games

Series
PDE Seminar
Time
Tuesday, January 17, 2017 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Diogo Gomes – KAUST – diogo.gomes@kaust.edu.sahttps://sri-uq.kaust.edu.sa/Pages/Diogo%20Gomes.aspx
Organizer
Yao Yao
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.