An Impossibility Theorem for Nonbinary Social Choice

被引：1

作者：

LUO Yunfeng

XIAO Renbin

ZHU Mingfu(Institute of Systems Engheering)(Huazhong University of Science and Technology

机构：

来源：

JournalofSystemsScienceandSystemsEngineering | 1999年 / 02期

关键词：

social choice; impossibility theorem; binariness; nonbinny social choice;

D O I：

暂无

中图分类号：

N94 [系统科学];

学科分类号：

0711 ; 081103 ; 1201 ;

摘要：

In Arrow’s General Possibility Theorem (GPT), social choice should be defined over allpairs of alternatives. In this paper, we generalize Arrow’s GPT to situations where choice over pairs ofalternatives may not be possible. This shows that Arrow’s GPT and related impossibility results canbe established without binariness of social choice.

引用

页码：198 / 202

页数：5

共 50 条

[1] THE GENERAL RELEVANCE OF THE IMPOSSIBILITY THEOREM IN SMOOTH SOCIAL CHOICE
SCHOFIELD, N
THEORY AND DECISION, 1984, 16 (01) : 21 - 44
[2] An algebraic proof of a robust social choice impossibility theorem
Falik, Dvir
Friedgut, Ehud
2011 IEEE 52ND ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS 2011), 2011, : 413 - 422
[3] NON-BINARY SOCIAL CHOICE - AN IMPOSSIBILITY THEOREM
GRETHER, DM
PLOTT, CR
REVIEW OF ECONOMIC STUDIES, 1982, 49 (01): : 143 - 149
[4] VONNEUMANN-MORGENSTERN SOLUTION SOCIAL CHOICE FUNCTIONS - AN IMPOSSIBILITY THEOREM
FEREJOHN, JA
MCKELVEY, RD
JOURNAL OF ECONOMIC THEORY, 1983, 29 (01) : 109 - 119
[5] The Arrow Impossibility Theorem Of Social Choice Theory In An Infinite Society And Limited Principle Of Omniscience
Tanaka, Yasuhito
APPLIED MATHEMATICS E-NOTES, 2008, 8 : 82 - 88
[6] NONBINARY SOCIAL CHOICE FOR ECONOMIC ENVIRONMENTS
CAMPBELL, DE
SOCIAL CHOICE AND WELFARE, 1995, 12 (03) : 245 - 254
[7] Candidate stability and nonbinary social choice
Lars Ehlers
John A. Weymark
Economic Theory, 2003, 22 : 233 - 243
[8] Candidate stability and nonbinary social choice
Ehlers, L
Weymark, JA
ECONOMIC THEORY, 2003, 22 (02) : 233 - 243
[9] SOME FURTHER RESULTS ON NONBINARY SOCIAL CHOICE
DENICOLO, V
SOCIAL CHOICE AND WELFARE, 1987, 4 (04) : 277 - 285
[10] The possibility-impossibility boundary in social choice
Campbell, D
Kelly, J
SOCIAL CHOICE RE-EXAMINED, VOL 1, 1997, : 179 - 204

← 1 2 3 4 5 →