Abstract
Suppose that social welfare function f satisfies the Pareto condition and has complete and transitive values. On a domain satisfying the free quadruple property, if the outcome set X has m<∞ outcomes, then the set of pairs of distinct alternatives on which f satisfies both independence and nondictatorship contains at most the fraction 2/m of all pairs. On a domain satisfying the free six-tuple property, if X is a subset of Euclidean space then the set of pairs on which f satisfies both independence and nondictatorship has Lebesgue measure zero.
Original language | English (US) |
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Pages (from-to) | 75-86 |
Number of pages | 12 |
Journal | Social Choice and Welfare |
Volume | 12 |
Issue number | 1 |
DOIs | |
State | Published - Feb 1995 |
ASJC Scopus subject areas
- Social Sciences (miscellaneous)
- Economics and Econometrics