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math.PR2022★ 1 cited
Mean Field Games of Controls: Propagation of Monotonicities
Chenchen Mou, Jianfeng Zhang
The theory of Mean Field Game of Controls considers a class of mean field games where the interaction is through the joint distribution of the state and control. It is well known t…
math.PR2022★ 2 cited
Mean Field Game Master Equations with Anti-monotonicity Conditions
Chenchen Mou, Jianfeng Zhang
It is well known that the monotonicity condition, either in Lasry-Lions sense or in displacement sense, is crucial for the global well-posedness of mean field game master equations…