均值保持容量:一类易处理的Choquet容量

Mean-preserving capacities: A tractable class of Choquet capacities

Economic Theory · 2025
被引 1
人大 A-ABS 3

中文导读

提出均值保持容量用于Choquet期望效用,该容量将事件值限定在主观概率为中心的区间内,区间大小反映模糊程度,并基于互补独立性公理,为模糊厌恶决策者提供中心对称的核心。通过投资组合、自我保险等应用展示其直观预测和简化分析的优势。

Abstract

Abstract This paper introduces mean-preserving capacities for Choquet expected utility. A capacity is defined as mean-preserving when the value assigned to an event falls within an interval centered around its subjective probability, with the interval’s size reflecting the perceived level of ambiguity. These capacities are based on the complementary independence axiom and feature a centrally symmetric core for decision-makers who are averse to ambiguity. To illustrate their practical value, we explore a series of economic applications including portfolio choice, self-insurance and self-protection, the value of a statistical life, and precautionary saving. Mean-preserving capacities offer intuitive predictions for both ambiguity-averse and ambiguity-loving individuals, often requiring fewer or no ancillary assumptions than alternative models. Moreover, they simplify the analysis of greater ambiguity considerably.

均值保持容量Choquet期望效用模糊厌恶互补独立性公理