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math.AP2026
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…
math.AP2026
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…