阿罗不可能定理假设条件的混沌学解读  

Interpretation of the Hypotheses of Arrow's Impossibility Theorem Using Chaos

作　　者：刘峰涛[1] 赵袁军[1] 

机构地区：[1]东华大学旭日工商管理学院,上海200051

出　　处：《科技和产业》2011年第12期160-163,共4页Science Technology and Industry

基　　金：中央高校基本科研业务费专项资金资助

摘　　要：公理性假设条件是解决阿罗悖论的突破口,本文以混沌学的视角来对其进行解读。通过文献梳理,三个特点说明混沌学可以用来研究社会选择过程。通过对社会选择过程的系统动力学建模与分析,证明在阿罗不可能定理的假设下,社会选择动力学系统存在混沌。进而发现,对阿罗不可能定理的假设条件,经济学家所提出的放松约束的路径与用混沌学解析得出的结论具有一致性,得到三方面启示:①在简单的假设条件下,社会选择过程依然表现出一定的复杂性。②社会选择过程存在混沌是阿罗不可能定理的一种表现形式。③混沌学可能是寻求阿罗不可能定理成立的本质原因的另一条路径。The axiomatic hypotheses are the breakthrough point for the settlement of the paradox of Arrow＇s impossibility theorem,so they were interpreted in this paper from the viewpoint of chaos.By the pectination of relevant literatures,it was elucidated from three aspects that chaos could be used to research the process of social choice.It was proved that under the hypotheses of Arrow＇s impossibility theorem,chaos existed in the dynamic system of social choice by modeling and analyzing the social choice process using system dynamics.And it was further found that for the hypotheses of Arrow＇s impossibility theorem,the pathway of loosing constraint presented by the economists was consistent with the conclusion drawn from chaos.So the following three revelations can be obtained： i） the process of social choice still puts up complexity to a certain extent even under simple hypotheses;ii） chaos existing in the process of social choice is one of the representation forms of Arrow＇s impossibility theorem;and iii） chaos may be the new pathway to seek for the essential cause of the Arrow＇s impossibility theorem proved to be true.

关 键 词：社会选择 混沌 阿罗不可能定理 福利经济学 

分 类 号：F061.4[经济管理—政治经济学]