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math.AP2026
Master equations with an individual noise on finite state graphs
Wilfrid Gangbo, Sebastian Munoz, Jeremy Wu +1
We develop a classical well-posedness and regularity theory on a finite connected weighted graph for an extended mean field game system, its associated master equation, and a Hamil…
math.AP2023
Free boundary regularity and support propagation in mean field games and optimal transport
Pierre Cardaliaguet, Sebastian Munoz, Alessio Porretta
We study the behavior of solutions to the first-order mean field games system with a local coupling, when the initial density is a compactly supported function on the real line. Ou…