6 citations · 12 across the 6 of their papers we have counts for
6 papers
Remarks on selection problems for first-order discounted mean field games
Kengo Terai
We study selection problems for the vanishing discount limit of first-order stationary mean field games with local coupling. The associated ergodic problem may admit several value…
On weak solutions to first-order discount mean field games
Hiroyoshi Mitake, Kengo Terai
In this paper, we establish the existence and uniqueness of weak solutions to first-order discount mean field games and a stability result to give the existence for the ergodic pro…
Remarks on the vanishing discount problem for infinite systems of Hamilton-Jacobi-Bellman equations
Kengo Terai
This paper is concerned with the asymptotic analysis of infinite systems of weakly coupled stationary Hamilton-Jacobi-Bellman equations as the discount factor tends to zero. With a…
The selection problem for some first-order stationary mean-field games
Diogo A. Gomes, Hiroyoshi Mitake, Kengo Terai
Here, we study the existence and the convergence of solutions for the vanishing discount MFG problem with a quadratic Hamiltonian. We give conditions under which the discounted pro…
Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton-Jacobi equations
Kengo Terai
Here, we address a uniqueness structure of viscosity solutions for ergodic problems of weakly coupled Hamilton-Jacobi systems. In particular, we study comparison principle with res…
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…