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arXiv · 1703.03954

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

Levon Nurbekyan
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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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Levon Nurbekyan. 2017-03-11. One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach. https://arxiv.org/abs/1703.03954

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