A pedagogical proof of Arrow's Impossibility Theorem

被引：0

作者：

Valentino Dardanoni

机构：

[1] Università di Palermo,

[2] Istituto di Scienze Finanziarie,undefined

[3] Facoltà di Economia,undefined

[4] Viale delle Scienze,undefined

[5] 90132 Palermo,undefined

[6] Italy (e-mail: vdardano@unipa.it),undefined

来源：

Social Choice and Welfare | 2001年 / 18卷

关键词：

Undergraduate Student; Simple Proof; Full Strength; Elementary Proof; Motivate Student;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note I consider a simple proof of Arrow's Impossibility Theorem (Arrow 1963). I start with the case of three individuals who have preferences on three alternatives. In this special case there are 133=2197 possible combinations of the three individuals' rational preferences. However, by considering the subset of linear preferences, and employing the full strength of the IIA axiom, I reduce the number of cases necessary to completely describe the SWF to a small number, allowing an elementary proof suitable for most undergraduate students.

引用

页码：107 / 112

页数：5