On construction of equitable social welfare orders on infinite utility streams

Ram Dubey, Tapan Mitra

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)53-60
Number of pages8
JournalMathematical Social Sciences
Volume71
DOIs
StatePublished - 1 Jan 2014

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Social Welfare
Welfare
social welfare
Equity
equity
Pareto
Axioms
Social welfare

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On construction of equitable social welfare orders on infinite utility streams. / Dubey, Ram; Mitra, Tapan.

In: Mathematical Social Sciences, Vol. 71, 01.01.2014, p. 53-60.

Research output: Contribution to journalArticleResearchpeer-review

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