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On the constancy of bribe-proof solutions

Author

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  • Hideki Mizukami

Abstract

We consider the problem of choosing one point in a set of alternatives when monetary transfers are possible. In this context, Schummer (2000) shows that a social choice function must be a constant function if manipulation through bribes is ruled out. But he requires two kinds of domain-richness conditions. One is either smooth connectedness or the finiteness of the set of alternatives and the other is monotonical closedness. However, dispensing with the former condition, we alternatively prove the same result under a weaker condition than monotonical closedness. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Hideki Mizukami, 2003. "On the constancy of bribe-proof solutions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 211-217, August.
    • Handle: RePEc:spr:joecth:v:22:y:2003:i:1:p:211-217
    DOI: 10.1007/s00199-002-0267-x
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    Citations

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    Cited by:

    1. Chen, Jing & Micali, Silvio, 2012. "Collusive dominant-strategy truthfulness," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1300-1312.
    2. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    3. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.

    More about this item

    Keywords

    Keywords and Phrases: Social choice; Strategy-proofness; Bribe-proofness; Transferable utility; Constancy.; JEL Classification Numbers: C70; D71; H40.;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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