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关于Sen个人主权不可能性定理的注记
引用本文:汤懿芬,罗云峰. 关于Sen个人主权不可能性定理的注记[J]. 华中科技大学学报(自然科学版), 2002, 30(9): 1-2,5
作者姓名:汤懿芬  罗云峰
作者单位:华中科技大学控制科学与工程系
基金项目:国家自然科学基金资助项目 (6 0 0 74 0 33)
摘    要:研究了社会选择中的个人主权问题。在定义个人主权的形式化描述的基础上,探讨了个人主权与社会选择规则合理指标体系的相容性。通过分析个人主权与无关方案独立性条件、Pareto准则和正响应条件的关系,得到基于Arrow不可能性定理、寡头独裁不可能性定理和否决者存在性定理的个人主权不可能性定理的变式。

关 键 词:社会选择理论 个人主权 不可能性定理 Pareeo准则 正响应条件 理性选择函数
文章编号:1671-4512(2002)09-0001-02

A note of Sen libertarian impossibility theorem
Tang Yifen Luo Yunfeng Postgraduate, Dept. of Control Sci. , Eng.,Huazhong Univ. of Sci. , Tech.,Wuhan ,China.. A note of Sen libertarian impossibility theorem[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2002, 30(9): 1-2,5
Authors:Tang Yifen Luo Yunfeng Postgraduate   Dept. of Control Sci. & Eng.  Huazhong Univ. of Sci. & Tech.  Wuhan   China.
Affiliation:Tang Yifen Luo Yunfeng Postgraduate, Dept. of Control Sci. & Eng.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China.
Abstract:The individual liberal right in social choice is studied. On the basis of the form of the individual liberal right, the compatibility of the individual liberal right and the other properties of the social choice rule are investigated. Through an analysis of the relationship between the liberal right and the conditions for the independence of irrelevant alternatives, and that between the Pareto criterion and the conditions for positive response, the variant of the libertarian impossibility theorem based on the Arrow Impossibility Theorem, the Oligarchic Impossibility Theorem and Vetoer Impossibility Theorem is given.
Keywords:social choice  individual liberal right  impossibility theorem
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