Characterization of the private alternatives domains admitting arrow social welfare functions

Ehud Kalai*, Zvi Ritz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

An n-person social choice problem is considered in which the alternatives are n dimensional vectors with the ith component of such a vector being the part of the alternative effecting individual i alone. Assuming that individuals are selfish (i is indifferent between any two alternatives that have the same ith component) we characterize all the families of permissible individual preferences that admit nondictatorial Arrow-type social welfare functions. We also show that the existence of such a function for a given family of preferences is independent of n provided that is greater than one.

Original languageEnglish (US)
Pages (from-to)23-36
Number of pages14
JournalJournal of Economic Theory
Volume22
Issue number1
DOIs
StatePublished - Feb 1980

ASJC Scopus subject areas

  • Economics and Econometrics

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