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Elections Can be Manipulated Often

  • Ehud Friedgut
  • Gil Kalai
  • Noam Nisan

The Gibbard-Satterthwaite theorem states that every non-trivial voting method between at least 3 alternatives can be strategically manipulated. We prove a quantitative version of the Gibbard-Satterthwaite theorem: a random manipulation by a single random voter will succeed with non-negligible probability for every neutral voting method between 3 alternatives that is far from being a dictatorship.

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File URL: http://www.dklevine.com/archive/refs4122247000000002416.pdf
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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 122247000000002416.

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Date of creation: 12 Oct 2008
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Handle: RePEc:cla:levarc:122247000000002416
Contact details of provider: Web page: http://www.dklevine.com/

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  1. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  2. Maus,Stefan & Peters,Hans & Storcken,Ton, 2004. "Minimal Manipulability: Anonymity and Unanimity," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. 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.
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