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A Differential Approach to Gibbard-Satterthwaite Theorem

Author

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  • Ville Korpela

    (Public Choice Research Centre, University of Turku)

Abstract

Numerous simple proofs of the celebrated Gibbard-Satterthwaite theorem (Gibbard, 1977, Satterthwaite, 1975) has been given in the literature. These are based on a number of different intuitions about the most fundamental reason for the result. In this paper we derive the Gibbard-Satterthwaite theorem once more, this time in a differentiable environment using the idea of potential games (Rosenthal, 1973, Monderer and Shapley, 1996). Our proof is very different from those that have been given previously.

Suggested Citation

  • Ville Korpela, 2012. "A Differential Approach to Gibbard-Satterthwaite Theorem," Discussion Papers 74, Aboa Centre for Economics.
  • Handle: RePEc:tkk:dpaper:dp74
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    File URL: http://www.ace-economics.fi/kuvat/dp74.pdf
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    References listed on IDEAS

    as
    1. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    2. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    3. Sen, Arunava, 2001. "Another direct proof of the Gibbard-Satterthwaite Theorem," Economics Letters, Elsevier, vol. 70(3), pages 381-385, March.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Differentiable function; Gibbard-Satterthwaite theorem; Potential game; Strategy-Proofness;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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