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Alternatives vs. Outcomes: A Note on the Gibbard-Satterthwaite Theorem

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Weber, Tjark

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Abstract

The Gibbard-Satterthwaite theorem is a well-known theorem from the field of social choice theory. It states that every voting scheme with at least 3 possible outcomes is dictatorial or manipulable. Later work on the Gibbard-Satterthwaite theorem frequently does not distinguish between alternatives and outcomes, thereby leading to a less general statement that requires the voting scheme to be onto. We show how the Gibbard-Satterthwaite theorem can be derived from the seemingly less general formulation.

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File URL: http://mpra.ub.uni-muenchen.de/17836/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 17836.

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Date of creation: 12 Oct 2009
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Handle: RePEc:pra:mprapa:17836

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Related research
Keywords: Gibbard-Satterthwaite theorem; infeasible alternatives;

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328. [Downloadable!] (restricted)
  2. Reny, Philip J., 2001. "Arrow's theorem and the Gibbard-Satterthwaite theorem: a unified approach," Economics Letters, Elsevier, vol. 70(1), pages 99-105, January. [Downloadable!] (restricted)
  3. Benoit, Jean-Pierre, 2000. "The Gibbard-Satterthwaite theorem: a simple proof," Economics Letters, Elsevier, vol. 69(3), pages 319-322, December. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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This page was last updated on 2009-12-10.

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