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Strategy-proofness of social choice functions and non-negative association property with continuous preferences

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Listed:
  • Yasuhito Tanaka

    (Faculty of Law, Chuo University, Japan)

Abstract

We consider the relation between strategy-proofness of resolute (single-valued) social choice functions and its property which we call Non-negative association property (NNAP) when individual preferences over infinite number of alternatives are continuous, and the set of alternatives is a metric space. NNAP is a weaker version of Strong positive association property (SPAP) of Muller and Satterthwaite(1977). Barbera and Peleg(1990) showed that strategy-proofness of resolute social choice functions implies Modified strong positive association property (MSPAP). But MSPAP is not equivalent to strategy-proofness. We shall show that strategy-proofness and NNAP are equivalent for resolute social choice functions with continuous preferences.

Suggested Citation

  • Yasuhito Tanaka, 2002. "Strategy-proofness of social choice functions and non-negative association property with continuous preferences," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-01d70011
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    References listed on IDEAS

    as
    1. Yasuhito Tanaka, 2001. "Generalized monotonicity and strategy-proofness: A note," Economics Bulletin, AccessEcon, vol. 4(11), pages 1-6.
    2. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
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    Cited by:

    1. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.

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    More about this item

    Keywords

    continuous preferences;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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