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Assessing the extent of strategic manipulation for the average voting rule

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Author Info

  • Régis Renault

    ()
    (Université de Cergy-Pontoise, THEMA)

  • Alain Trannoy

    ()
    (EHESS, GREQAM-IDEP)

Abstract

The average voting procedure reflects the weighted average of expressed opinions in [0,1]. Participants typically behave strategically. We evaluate the discrepancy between the average taste and the average vote. If the population is sufficiently large, it is possible to contruct approximations of both the average vote and the average taste which may be readily compared. We construct upper and lower bounds for the limit average vote that depend on the limit average taste. If the average taste is central enough, the range of possible values for the average voting outcome is narrower than the corresponding range for majority voting. For instance, if the average taste is at 1/2, the limit equilibrium outcome is this value plus or minus roughly .2, whereas the median maybe anywhere in the [0,1] interval. Results are robust to the introduction of incomplete information.

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Bibliographic Info

Paper provided by Institut d'economie publique (IDEP), Marseille, France in its series IDEP Working Papers with number 0403.

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Length: 26 pages
Date of creation: Feb 2004
Date of revision:
Handle: RePEc:iep:wpidep:0403

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Related research

Keywords: Average voting; Nash equilibrium; Strategic Bias.;

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References

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  1. Bilodeau, M., 1990. "Tax Earmarking and Separate School Financing," Cahiers de recherche 90-14, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  2. Rath, Kali P, 1992. "A Direct Proof of the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Economic Theory, Springer, vol. 2(3), pages 427-33, July.
  3. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  4. Régis Renault & Alain Trannoy, 2005. "Protecting Minorities through the Average Voting Rule," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(2), pages 169-199, 05.
  5. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-41, November.
  6. 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.
  7. Ignacio Ortuno-Ortin & Anke Gerber, 1998. "Political compromise and endogenous formation of coalitions," Social Choice and Welfare, Springer, vol. 15(3), pages 445-454.
  8. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
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Cited by:
  1. Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.
  2. Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.

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