4 papers
Bregman-projected mirror methods for regularized stationary mean-field games
Hussain Al Abdulaziz, Yuri Ashrafyan, Yeva Gevorgyan +1
We develop and analyze a Bregman-projected mirror iteration for low-order regularizations of stationary mean-field game (MFG) systems in their natural Banach space setting. For sep…
Weak-Strong Uniqueness for Second-Order Mean-Field Games
Rita Ferreira, Diogo Gomes, Bashayer Majrashi
We extend the weak-strong uniqueness principle for mean-field game (MFG) systems to a broad class of second-order stationary and time-dependent problems. Under standard monotonicit…
A Monotone Operator Approach to Separable Mean-Field Games with Mixed Boundary Conditions
AbdulRahman M. Alharbi, Diogo Gomes
We study a class of local, first-order, stationary mean-field games (MFGs) on bounded domains with nonstandard mixed boundary conditions: prescribed inflow on and a relaxed S…
A Fully-discrete Semi-Lagrangian scheme for a price formation MFG model
Yuri Ashrafyan, Diogo Gomes
Here, we examine a fully-discrete Semi-Lagrangian scheme for a mean-field game price formation model. We show the existence of the solution of the discretized problem and that it i…