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Strongly Implementable Social Choice Correspondences


  • Peter Fristrup

    (Institute of Economics, University of Copenhagen)

  • Hans Keiding

    (Institute of Economics, University of Copenhagen)


A social choice correspondance is strongly implementable if there is a mechanism such that its strong Nash equilibrium outcomes coincide with the alternatives chosen by the social choice correspondance. It is known that a strongly implementable social choice correspondence is contained in the core correspondence of its associated effectivity function, and conversely Holzman (1987) introduced the nucleus correspondence which is in a certain sense minimal among the strongly implementable social choice correspondences. In the present paper, a new solution concept for games in effectivity function form, the supernucleus, is introduced. The supernucleus social choice correspondence is founded on strategic behaviour. It is less restrictive than the nucleus, and it is contained in the core. We show that the supernucleus correspondence is implementable and that it has a minimality property similar to that of the nucleus.

Suggested Citation

  • Peter Fristrup & Hans Keiding, 1988. "Strongly Implementable Social Choice Correspondences," Discussion Papers 88-14, University of Copenhagen. Department of Economics.
  • Handle: RePEc:kud:kuiedp:8814

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    More about this item


    asymmetric and private information; coalitions; equilibrium; social choice;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design


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