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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…
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…