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An alternative proof of Gibbard's random dictatorship result

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  • Shasikanta Nandeibam

    (Department of Economics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom)

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    Abstract

    By using a line of reasoning similar to the one used by Gibbard (Gibbard A (1973) Econometrica 41: 587-601) in the deterministic framework, we provide a more transparent and intuitive proof of the following random dictatorship result in the probabilistic framework, which is a corollary credited to H. Sonnenschein of the more general result of Gibbard (Gibbard A (1977) Econometrica 45: 665-681): A decision scheme is Pareto optimific ex post and strategy proof if and only if it is a random dictatorship.

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    Bibliographic Info

    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 15 (1998)
    Issue (Month): 4 ()
    Pages: 509-519

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    Handle: RePEc:spr:sochwe:v:15:y:1998:i:4:p:509-519

    Note: Received: 13 February 1996 / Accepted: 14 April 1997
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    Cited by:
    1. Bhaskar Dutta & Hans Peters & Arunava Sen, 2007. "Strategy-proof Cardinal Decision Schemes," Social Choice and Welfare, Springer, vol. 28(1), pages 163-179, January.
    2. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2003. "Collective Choice under Dichotomous Preferences," Working Papers 2003-09, Rice University, Department of Economics.
    3. Dutta, Bhaskar & Peters, Hans & Sen, Arunava, 2002. "Strategy-Proof Probabilistic Mechanisms in Economies with Pure Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 392-416, October.

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