On construction of equitable social welfare orders on infinite utility streams

Ram Sewak Dubey; Tapan Mitra

doi:10.1016/j.mathsocsci.2014.04.003

On construction of equitable social welfare orders on infinite utility streams

Ram Sewak Dubey
, Tapan Mitra

Economics

Montclair State University

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

5 Scopus citations

Abstract

This paper studies the nature of social welfare orders on infinite utility streams, satisfying the consequentialist equity principles known as Hammond Equity and the Pigou-Dalton transfer principle. The first result shows that every social welfare order satisfying Hammond Equity and the Strong Pareto axioms is non-constructive in nature for all non-trivial domains, Y. The second result shows that, when the domain set is Y = [0, 1], every social welfare order satisfying the Pigou-Dalton transfer principle is non-constructive in nature. Specifically, in both results, we show that the existence of the appropriate social welfare order entails the existence of a non-Ramsey set, a non-constructive object. The second result also provides an example of a social welfare order which can be represented, but which cannot be constructed.

Original language	English
Pages (from-to)	53-60
Number of pages	8
Journal	Mathematical Social Sciences
Volume	71
DOIs	https://doi.org/10.1016/j.mathsocsci.2014.04.003
State	Published - Sep 2014

ASJC Scopus subject areas

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

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10.1016/j.mathsocsci.2014.04.003

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title = "On construction of equitable social welfare orders on infinite utility streams",

abstract = "This paper studies the nature of social welfare orders on infinite utility streams, satisfying the consequentialist equity principles known as Hammond Equity and the Pigou-Dalton transfer principle. The first result shows that every social welfare order satisfying Hammond Equity and the Strong Pareto axioms is non-constructive in nature for all non-trivial domains, Y. The second result shows that, when the domain set is Y = [0, 1], every social welfare order satisfying the Pigou-Dalton transfer principle is non-constructive in nature. Specifically, in both results, we show that the existence of the appropriate social welfare order entails the existence of a non-Ramsey set, a non-constructive object. The second result also provides an example of a social welfare order which can be represented, but which cannot be constructed.",

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N2 - This paper studies the nature of social welfare orders on infinite utility streams, satisfying the consequentialist equity principles known as Hammond Equity and the Pigou-Dalton transfer principle. The first result shows that every social welfare order satisfying Hammond Equity and the Strong Pareto axioms is non-constructive in nature for all non-trivial domains, Y. The second result shows that, when the domain set is Y = [0, 1], every social welfare order satisfying the Pigou-Dalton transfer principle is non-constructive in nature. Specifically, in both results, we show that the existence of the appropriate social welfare order entails the existence of a non-Ramsey set, a non-constructive object. The second result also provides an example of a social welfare order which can be represented, but which cannot be constructed.

AB - This paper studies the nature of social welfare orders on infinite utility streams, satisfying the consequentialist equity principles known as Hammond Equity and the Pigou-Dalton transfer principle. The first result shows that every social welfare order satisfying Hammond Equity and the Strong Pareto axioms is non-constructive in nature for all non-trivial domains, Y. The second result shows that, when the domain set is Y = [0, 1], every social welfare order satisfying the Pigou-Dalton transfer principle is non-constructive in nature. Specifically, in both results, we show that the existence of the appropriate social welfare order entails the existence of a non-Ramsey set, a non-constructive object. The second result also provides an example of a social welfare order which can be represented, but which cannot be constructed.

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DO - 10.1016/j.mathsocsci.2014.04.003

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VL - 71

SP - 53

EP - 60

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

ER -

On construction of equitable social welfare orders on infinite utility streams

Abstract

ASJC Scopus subject areas

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