Nondictatorially independent pairs and Pareto
Robert C. Powers
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Robert C. Powers: Department of Mathematics, University of Louisville, Louisville, KY 40292, USA
Social Choice and Welfare, 2001, vol. 18, issue 4, 817-822
Abstract:
Suppose a social welfare function f has complete and transitive values and the set X of outcomes has size m>3. If the domain D of f has the free quadruple property then the fraction of pairs on which f satisfies nondictatorship, independence, and Pareto is less than or equal to $\left (\displaystyle {1 \over m^1/2} + {1 \over m - 1} \right)$.
Date: 2001-10-08
Note: Received: 9 June 1999/Accepted: 30 May 2000
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