7 citations · 25 across the 12 of their papers we have counts for
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math.AP2015★ 6 cited
Existence of positive solutions for an approximation of stationary mean-field games
Nojood Almayouf, Elena Bachini, Andreia Chapouto +22
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 pr…
math.AP2015
Regularity for second order stationary mean-field games
Edgard A. Pimentel, Vardan Voskanyan
In this paper, we prove the existence of classical solutions for second order stationary mean-field game systems. These arise in ergodic (mean-field) optimal control, convex degene…
math.AP2015
Short-time existence of solutions for mean-field games with congestion
Diogo Gomes, Vardan Voskanyan
We consider time-dependent mean-field games with congestion that are given by a system of a Hamilton-Jacobi equation coupled with a Fokker-Planck equation. The congestion effects m…