关于选择函数形式的Arrow不可能性定理的注记

A note of Arrow impossibility theorem in choice function forms

研究了社会选择中的不可能性定理.首先定义社会选择函数,给出理性社会选择函数的形式化描述, 并定义选择函数形式的Pareto的准则、无关方案独立性条件和非独裁性条件.在此基础上,探讨了选择函数框架下的 不可能性定理,得到了选择函数形式的Arrow不可能性定理和Sen寡头独裁不可能性定理.

The paper is a study of Impossibility Theorem in social choice. First, it gives the definition of social choice function and defines the normative forms of rational social choice function. Then it gives the definition of Pareto Principle, Independence of Irrelevant alternative and Non-dictatorial Condition in choice function forms. On the basis of this analysis, it investigates the impossibility theorem in choice function forms, and gives Arrow Impossibility Theorem in choice function forms and Sen Oligarchy Impossibility Theorem in choice function forms.