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Monotonicity implies generalized strategy-proofness for correspondences

Author

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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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    Citations

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    Cited by:

    1. 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.
    2. Hayrullah Dindar & Jean Lainé, 2023. "Vote swapping in irresolute two-tier voting procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 221-262, August.
    3. Demange, Gabrielle, 2009. "The strategy structure of some coalition formation games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 83-104, January.
    4. Felix Brandt & Martin Bullinger & Patrick Lederer, 2021. "On the Indecisiveness of Kelly-Strategyproof Social Choice Functions," Papers 2102.00499, arXiv.org, revised Mar 2022.
    5. Brandt, Felix & Saile, Christian & Stricker, Christian, 2022. "Strategyproof social choice when preferences and outcomes may contain ties," Journal of Economic Theory, Elsevier, vol. 202(C).
    6. Aziz, Haris & Brandl, Florian & Brandt, Felix & Brill, Markus, 2018. "On the tradeoff between efficiency and strategyproofness," Games and Economic Behavior, Elsevier, vol. 110(C), pages 1-18.
    7. Shin Sato, 2014. "A fundamental structure of strategy-proof social choice correspondences with restricted preferences over alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 831-851, April.
    8. Cato, Susumu, 2011. "Maskin monotonicity and infinite individuals," Economics Letters, Elsevier, vol. 110(1), pages 56-59, January.
    9. Yi, Jianxin, 2007. "Monotonicity, implementation and generalized strategy-proofness," Economics Letters, Elsevier, vol. 97(2), pages 124-127, November.
    10. 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.

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