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Monotonicity Implies Strategy-Proofness For Correspondences

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Listed:
  • Klaus Nehring
  • Massimiliano Marcellino

    (Department of Economics, University of California Davis)

Abstract

We show that Maskin monotone social choice correspondences on sufficiently rich domains satisfy a generalized strategy-proofness property, thus generalizing Muller and Satterthwaite''s (1977) theorem to correspondences. From the point of view of Nash implementation theory, the result yields a partial characterization of the restrictions entailed by Nash implementability. Alternatively, the result can be viewed as a possibility theorem on the dominant-strategy-implementability of monotone SCCs via set-valued mechanisms for agents who are completely ignorant about the finally selected outcome. It is shown by examples that stronger strategy-proofness properties fail easily.

Suggested Citation

  • Klaus Nehring & Massimiliano Marcellino, 2003. "Monotonicity Implies Strategy-Proofness For Correspondences," Working Papers 193, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:193
    as

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    File URL: https://repec.dss.ucdavis.edu/files/UiqQaRaQnymuukUmMaJLSeex/98-2.pdf
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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