When is a monotone function cyclically monotone?
研究了结果有限的单调函数成为循环单调的充分条件，并证明在总替代品域上任何单调函数都是循环单调的，结果也推广到广义总替代品与互补品域。
We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.