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Strongly implementable social choice correspondences and the supernucleus

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  • Peter Fristrup

    (Systems Analysis Department, RISØ National Laboratory, DK-4000 Roskilde, Denmark)

  • Hans Keiding

    (University of Copenhagen, Institute of Economics, Studisetraede 6 DK-1455 Copenhagen K, Danemark)

Abstract

In this paper, we present a characterization of social choice correspondences which can be implemented in strong Nash equilibrium, stated in terms of the power structure implicit in the social choice rule. We extend the notion of an effectivity function to allow for simultaneous vetoing by several coalitions. This leads to the concept of a domination structure as a generalized effectivity function. Using this concept and a solution known from the theory of effectivity functions, the supernucleus, we give a characterization of strongly implementable social choice correspondences as supernucleus correspondence relative to an appropriate domination structure.

Suggested Citation

  • Peter Fristrup & Hans Keiding, 2001. "Strongly implementable social choice correspondences and the supernucleus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 213-226.
    • Handle: RePEc:spr:sochwe:v:18:y:2001:i:2:p:213-226
    Note: Received: 2 February 1996/Accepted: 2 February 1998
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    Cited by:

    1. T. Hayashi & R. Jain & V. Korpela & M. Lombardi, 2023. "Behavioral strong implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1257-1287, November.
    2. Yi, Jianxin, 2012. "Double implementation in Nash and M-Nash equilibria," Economics Letters, Elsevier, vol. 116(1), pages 105-107.
    3. Bezalel Peleg & Ariel Procaccia, 2010. "Implementation by mediated equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 191-207, March.
    4. Korpela, Ville, 2013. "A simple sufficient condition for strong implementation," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2183-2193.

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