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math.OC2024★ 1 cited
Optimal control problems with generalized mean-field dynamics and viscosity solution to Master Bellman equation
Rainer Buckdahn, Juan Li, Zhanxin Li
We study an optimal control problem of generalized mean-field dynamics with open-loop controls, where the coefficients depend not only on the state processes and controls, but also…
math.PR2024
Comparison theorems for mean-field BSDEs whose generators depend on the law of the solution
Juan Li, Zhanxin Li, Chuanzhi Xing
For general mean-field backward stochastic differential equations (BSDEs) it is well-known that we usually do not have the comparison theorem if the coefficients depend on the law…