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Monotonicity implies generalized strategy-proofness for correspondences

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  • Klaus Nehring

    () (Department of Economics, University of California at Davis, Davis, CA 95616, USA)

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. The result is interpreted 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. Alternatively, the result yields a partial characterization of the restrictions entailed by Nash implementability of correspondences.

Suggested Citation

  • Klaus Nehring, 2000. "Monotonicity implies generalized strategy-proofness for correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 367-375.
  • Handle: RePEc:spr:sochwe:v:17:y:2000:i:2:p:367-375
    Note: Received: 3 November 1997/Accepted: 26 April 1999
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    Cited by:

    1. Demange, Gabrielle, 2009. "The strategy structure of some coalition formation games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 83-104, January.
    2. Yi, Jianxin, 2007. "Monotonicity, implementation and generalized strategy-proofness," Economics Letters, Elsevier, vol. 97(2), pages 124-127, November.
    3. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
    4. Cato, Susumu, 2011. "Maskin monotonicity and infinite individuals," Economics Letters, Elsevier, vol. 110(1), pages 56-59, January.
    5. Felix Brandt, 2015. "Set-monotonicity implies Kelly-strategyproofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 793-804, December.

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