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Assessing the extent of strategic manipulation for the average voting rule

Author

Listed:
  • 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.

Suggested Citation

  • Régis Renault & Alain Trannoy, 2004. "Assessing the extent of strategic manipulation for the average voting rule," IDEP Working Papers 0403, Institut d'economie publique (IDEP), Marseille, France.
    • Handle: RePEc:iep:wpidep:0403
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    File URL: http://www.idep-fr.org/IMG/document/dt/dt0403.pdf
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    References listed on IDEAS

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    1. Ignacio Ortuno-Ortin & Anke Gerber, 1998. "Political compromise and endogenous formation of coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 445-454.
    2. Bilodeau, Marc, 1994. "Tax-earmarking and separate school financing," Journal of Public Economics, Elsevier, vol. 54(1), pages 51-63, May.
    3. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-1341, November.
    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.
    5. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    6. Rath, Kali P, 1992. "A Direct Proof of the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 427-433, July.
    7. 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, May.
    8. 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.
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    Citations

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    Cited by:

    1. 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, May.
    2. Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.
    3. Marchese, Carla & Montefiori, Marcello, 2005. "Mean voting rule and strategical behavior: an experiment," POLIS Working Papers 49, Institute of Public Policy and Public Choice - POLIS.
    4. Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.

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    More about this item

    Keywords

    Average voting; Nash equilibrium; Strategic Bias.;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • I22 - Health, Education, and Welfare - - Education - - - Educational Finance; Financial Aid

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