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Nondictatorially independent pairs and Pareto

Author

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  • Robert C. Powers

    (Department of Mathematics, University of Louisville, Louisville, KY 40292, USA)

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 $\left (\displaystyle {1 \over m^1/2} + {1 \over m - 1} \right)$.

Suggested Citation

  • Robert C. Powers, 2001. "Nondictatorially independent pairs and Pareto," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 817-822.
    • Handle: RePEc:spr:sochwe:v:18:y:2001:i:4:p:817-822
    Note: Received: 9 June 1999/Accepted: 30 May 2000
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    Citations

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    Cited by:

    1. Lee Gibson & Robert Powers, 2009. "The NIP graph of a social welfare function," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 415-421, September.
    2. Donald Campbell & Jerry Kelly, 2014. "Universally beneficial manipulation: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 329-355, August.
    3. Robert Powers, 2007. "The Number of Times an Anonymous Rule Violates Independence in the 3 × 3 Case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 363-373, April.

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