Commonotonicity and time-consistency for Lebesgue-continuous monetary utility functions
证明了共单调且时间一致的货币效用函数就是条件期望，并给出了无原子和条件无原子概率空间上的额外结果。
Abstract It is proved that monetary utility functions that are commonotonic and time-consistent are conditional expectations. We also give additional results on atomless and conditionally atomless probability spaces. These notions describe that in a filtration, there are many new events at each time step.