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

2017/03/11 by Nurbekyan, Levon
#35A01 #35Q91 #35Q93 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.03954

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.

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