UNIFYING IMPOSSIBILITY THEOREMS - A TOPOLOGICAL APPROACH

被引：28

作者：

BARYSHNIKOV, YM

机构：

[1] Department of Mathematics, Osnabrück University

来源：

ADVANCES IN APPLIED MATHEMATICS | 1993年 / 14卷 / 04期

关键词：

D O I：

10.1006/aama.1993.1020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note a topological approach is developed which permits us to prove Arrow′s impossibility theorem in the social choice theory using a topological technique close to that of Chichilnisky. © 1993 Academic Press, Inc.

引用

页码：404 / 415

页数：12

共 5 条

[1] A DIFFICULTY IN THE CONCEPT OF SOCIAL WELFARE [J].

Arrow, Kenneth J. .

JOURNAL OF POLITICAL ECONOMY, 1950, 58 (04) :328-346

[2] NECESSARY AND SUFFICIENT CONDITIONS FOR A RESOLUTION OF THE SOCIAL CHOICE PARADOX [J].

CHICHILNISKY, G ;

HEAL, G .

JOURNAL OF ECONOMIC THEORY, 1983, 31 (01) :68-87

[3] THE TOPOLOGICAL EQUIVALENCE OF THE PARETO CONDITION AND THE EXISTENCE OF A DICTATOR [J].

CHICHILNISKY, G .

JOURNAL OF MATHEMATICAL ECONOMICS, 1982, 9 (03) :223-233

[4]

Fishburn PC., 1973, THEORY SOCIAL CHOICE

[5] CALCULUS AND EXTENSIONS OF ARROW THEOREM [J].

SAARI, DG .

JOURNAL OF MATHEMATICAL ECONOMICS, 1991, 20 (03) :271-306

← 1 →