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Strategy-proofness and unimodality in bounded distributive lattices

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  • Ernesto Savaglio

    ()

  • Stefano Vannucci

    ()

Abstract

It is shown that a social choice rule f : X N ? X as defined on a bounded distributive lattice (X, ) is strategy-proof on the set of all profiles of unimodal total preorders on X if and only if it can be represented as an iterated median of projections and constants. The equivalence of individual and coalitional strategy-proofness that is known to hold in more specialized unimodal domains fails in such a more general setting.

Suggested Citation

  • Ernesto Savaglio & Stefano Vannucci, 2012. "Strategy-proofness and unimodality in bounded distributive lattices," Department of Economics University of Siena 642, Department of Economics, University of Siena.
  • Handle: RePEc:usi:wpaper:642
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    File URL: http://repec.deps.unisi.it/quaderni/642.pdf
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    References listed on IDEAS

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    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
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    Cited by:

    1. Stefano vannucci, 2012. "Unimodality and equivalence of simple and coalitional strategy-proofness in convex idempotent interval spaces," Department of Economics University of Siena 668, Department of Economics, University of Siena.

    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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