On construction of equitable social welfare orders on infinite utility streams

Ram Dubey, Tapan Mitra

Research output: Contribution to journalArticle

3 Scopus citations


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
Publication statusPublished - 1 Jan 2014


Cite this