The expectation is an example of a descriptive statistic that is monotone with respect to stochastic dominance, and additive for sums of independent random variables. We provide a complete characterization of such statistics, and explore a number of applications to models of individual and group decision-making. These include a representation of stationary monotone time preferences, extending the work of Fishburn and Rubinstein (1982) to time lotteries. This extension offers a new perspective on risk attitudes toward time, as well as on the aggregation of multiple discount factors.

翻译：期望值是一种关于随机占优单调且对独立随机变量之和具有可加性的描述性统计量。本文给出了这类统计量的完整刻画，并探讨了其在个人与群体决策模型中的多项应用。这些应用包括将Fishburn与Rubinstein（1982）的研究拓展至时间彩票领域，从而得到平稳单调时间偏好的表示形式。该拓展为时间维度的风险态度以及多重贴现因子的聚合问题提供了全新视角。