212 citations · 454 across the 29 of their papers we have counts for
4 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…
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…
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…
One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach
Levon Nurbekyan
Here, we study a one-dimensional, non-local mean-field game model with congestion. When the kernel in the non-local coupling is a trigonometric polynomial we reduce the problem to…