4 citations · 5 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2025
An introduction to monotonicity methods in mean-field games
Rita Ferreira, Diogo Gomes, Teruo Tada
This chapter examines monotonicity techniques in the theory of mean-field games(MFGs). Originally, monotonicity ideas were used to establish the uniqueness of solutions for MFGs. L…
math.AP2020★ 4 cited
Existence of weak solutions to time-dependent mean-field games
Rita Ferreira, Diogo Gomes, Teruo Tada
Here, we establish the existence of weak solutions to a wide class of time-dependent monotone mean-field games (MFGs). These MFGs are given as a system of degenerate parabolic equa…
math.AP2018★ 1 cited
Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions
Rita Ferreira, Diogo Gomes, Teruo Tada
In this paper, we study first-order stationary monotone mean-field games (MFGs) with Dirichlet boundary conditions. While for Hamilton--Jacobi equations Dirichlet conditions may no…