3 papers
math.AP2026
Ranking Mean-Field Planning Games
Ali Almadeh, Tigran Bakaryan, Diogo Gomes +1
This paper studies a one-dimensional Mean-Field Planning (MFP) system with a non-local, rank-based coupling. Using a potential formulation, we rewrite the system as an associated s…
eess.SY2025
Hessian Riemannian Flow For Multi-Population Wardrop Equilibrium
Tigran Bakaryan, Christoph Aoun, Ricardo de Lima Ribeiro +2
In this paper, we address the problem of optimizing flows on generalized graphs that feature multiple entry points and multiple populations, each with varying cost structures. We t…
math.AP2023
Regularity For Stationary Mean-Field Games With Logarithmic Coupling
Tigran Bakaryan, Giuseppe Di Fazio, Diogo A. Gomes
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The primary objective is to underst…