3 papers
math.NA2026
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…
math.AP2026
A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions
AbdulRahman M. Alharbi, Yuri Ashrafyan, Diogo Gomes
Entry-exit dynamics are crucial in modeling crowd movement. Here, we present a novel first-order, stationary mean-field game model on a bounded domain that accurately captures thes…
math.NA2025
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…