期望效用理论的等价公理体系与公理的弱化

Alternative Axioms for Expected Utility Theory and the Weakening of Axioms

本文分析了 Von Neumann- Morgenstern的作为期望效用基础的理性行为公理体系及其等价公理体系的局限性 ,提出等价公理体系研究是公理弱化的一个途径 ,并具体分析了几个著名等价公理体系之间的关系 ,对公理体系中偏好关系的完全性假设的弱化作了讨论 。

This paper first analyses the set of axioms of Von Neumann Morgenstern for expected utility theory and the alternative axioms,and lays its fingers on the weak spot of the set of axioms. Then it proposes that it is a way of weakening axioms to seek alternative axioms, and it analyzes the relation of seve ral well known alternative sets of axioms. Last it discusses the weakening of completeness of preference relation,and points out that it is significant to analyse the lattice characteristic of preference structure.