Asymptotic density and social choice trade-offs

Donald E. Campbell; Jerry S. Kelly

doi:10.1016/0165-4896(94)00772-Z

Asymptotic density and social choice trade-offs

Donald E. Campbell, Jerry S. Kelly

Department of Economics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Arrow proved that a social welfare function with transitive values cannot simultaneously satisfy independence of irrelevant alternatives, the Pareto criterion, and non-dictatorship. We use asymptotic density to determine bounds on the trade-off between violations of the Pareto criterion and violations of non-dictatorship when the set X of outcomes is countably infinite.

Original language	English (US)
Pages (from-to)	181-194
Number of pages	14
Journal	Mathematical social sciences
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/0165-4896(94)00772-Z
State	Published - Jun 1995

Keywords

Asymptotic density
Non-dictatorship
Pareto
Trade-off

ASJC Scopus subject areas

Sociology and Political Science
General Social Sciences
General Psychology
Statistics, Probability and Uncertainty

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10.1016/0165-4896(94)00772-Z

Cite this

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abstract = "Arrow proved that a social welfare function with transitive values cannot simultaneously satisfy independence of irrelevant alternatives, the Pareto criterion, and non-dictatorship. We use asymptotic density to determine bounds on the trade-off between violations of the Pareto criterion and violations of non-dictatorship when the set X of outcomes is countably infinite.",

keywords = "Asymptotic density, Non-dictatorship, Pareto, Trade-off",

author = "Campbell, {Donald E.} and Kelly, {Jerry S.}",

note = "Funding Information: Campbell'sr esearchw as funded by National Science Foundationg rants,SES 9007953a nd SES 9209039W. e are gratefult o the refereesfo r their improvements to this paper.",

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AU - Kelly, Jerry S.

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PY - 1995/6

Y1 - 1995/6

N2 - Arrow proved that a social welfare function with transitive values cannot simultaneously satisfy independence of irrelevant alternatives, the Pareto criterion, and non-dictatorship. We use asymptotic density to determine bounds on the trade-off between violations of the Pareto criterion and violations of non-dictatorship when the set X of outcomes is countably infinite.

AB - Arrow proved that a social welfare function with transitive values cannot simultaneously satisfy independence of irrelevant alternatives, the Pareto criterion, and non-dictatorship. We use asymptotic density to determine bounds on the trade-off between violations of the Pareto criterion and violations of non-dictatorship when the set X of outcomes is countably infinite.

KW - Asymptotic density

KW - Non-dictatorship

KW - Pareto

KW - Trade-off

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JO - Mathematical social sciences

JF - Mathematical social sciences

IS - 3

ER -

Asymptotic density and social choice trade-offs

Abstract

Keywords

ASJC Scopus subject areas

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