Special Session 131: 

One-dimensional non-local first-order stationary mean-field games with congestion: a Fourier approach

Levon Nurbekyan
KAUST
Saudi Arabia
Co-Author(s):    
Abstract:
Here, we study a one-dimensional non-local mean-field game model with congestion. When the kernel in the non-local coupling is a trigonometric polynomial, we reduce the problem to a finite-dimensional system. Furthermore, we treat the general case by approximating the kernel with trigonometric polynomials. Our technique is based on Fourier expansion methods.