137 citations · 323 across the 50 of their papers we have counts for
6 papers · 1 filter
First-order, stationary mean-field games with congestion
David Evangelista, Rita Ferreira, Diogo A. Gomes +2
Mean-field games (MFGs) are models for large populations of competing rational agents that seek to optimize a suitable functional. In the case of congestion, this functional takes…
Monotone numerical methods for finite-state mean-field games
Diogo Gomes, Joao Saude
Here, we develop numerical methods for finite-state mean-field games (MFGs) that satisfy a monotonicity condition. MFGs are determined by a system of differential equations with in…
Conservation laws arising in the study of forward-forward Mean-Field Games
Diogo Gomes, Levon Nurbekyan, Marc Sedjro
We consider forward-forward Mean Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of h…
One-dimensional, forward-forward mean-field games with congestion
Diogo Gomes, Marc Sedjro
Here, we consider one-dimensional forward-forward mean-field games (MFGs) with congestion, which were introduced to approximate stationary MFGs. We use methods from the theory of c…
An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations
Adriano Festa, Diogo A. Gomes, Roberto M. Velho
Here, we introduce a numerical approach for a class of Fokker-Planck (FP) equations. These equations are the adjoint of the linearization of Hamilton-Jacobi (HJ) equations. Using t…
Radially Symmetric Mean-Field Games with Congestion
David Evangelista, Diogo A. Gomes, Levon Nurbekyan
Here, we study radial solutions for first- and second-order stationary Mean-Field Games (MFG) with congestion on . MFGs with congestion model problems where the agent…