Existence of positive solutions for an approximation of stationary mean-field games

Abstract

Here, we consider a regularized mean-field game model that features a low-order regularization. We prove the existence of solutions with positive density. To do so, we combine a priori estimates with the continuation method. In contrast with high-order regularizations, the low-order regularizations are easier to implement numerically. Moreover, our methods give a theoretical foundation for this approach.

Chuliang Song

PostDoc

I am a quantitative ecologist driven by the curiosity of how biodiversity is generated and maintained.