8 citations · 15 across the 9 of their papers we have counts for
6 papers · 1 filter
Fourier Approximation Methods for First-Order Nonlocal Mean-Field Games
Levon Nurbekyan, Joao Saude
In this note, we develop Fourier approximation methods for the solutions of first-order nonlocal mean-field games (MFG) systems. Using Fourier expansion techniques, we approximate…
The variational structure and time-periodic solutions for mean-field games systems
Marco Cirant, Levon Nurbekyan
Here, we observe that mean-field game (MFG) systems admit a two-player infinite-dimensional general-sum differential game formulation. We show that particular regimes of this game…
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…
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…
One-dimensional forward-forward mean-field games
Diogo Gomes, Levon Nurbekyan, Marc Sedjro
While the general theory for the terminal-initial value problem for mean-field games (MFGs) has achieved a substantial progress, the corresponding forward-forward problem is still…