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Protecting minorities through the average voting rules

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Abstract

Properties of an average voting rule - the outcome being some weighted average of votes – are investigated, with particular attention to its ability to protect minorities. The unique average voting outcome is characterized with a median formula which depends on the voters’ preferred allocations and some parameters constructed from the voters’ weights. We provide necessary and sufficient conditions for the average outcome to be above the majority outcome. A minority is said to be protected by a switch in voting rule if the voting outcome becomes closer to the median bliss point of the minority. A sufficient condition for minority protection is that, either the minority’s weight is sufficiently large or the majority outcome is too unfavorable to the minority. Applications to the composition of public goods and to public expenditures level are considered. We end by exploring the combined use of average and majority voting in a two-stage procedure for determining both the level and the composition of public expenditures.

Suggested Citation

  • Régis Renault & Alain Trannoy, 2003. "Protecting minorities through the average voting rules," IDEP Working Papers 0303, Institut d'economie publique (IDEP), Marseille, France.
  • Handle: RePEc:iep:wpidep:0303
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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.
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    5. Alberto Alesina & Reza Baqir & William Easterly, 1999. "Public Goods and Ethnic Divisions," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1243-1284.
    6. Bergstrom, Ted C, 1979. " When Does Majority Rule Supply Public Goods Efficiently?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 81(2), pages 216-226.
    7. repec:cup:apsrev:v:87:y:1993:i:04:p:856-869_10 is not listed on IDEAS
    8. Bagnoli, Mark & McKee, Michael, 1991. "Controlling the Game: Political Sponsors and Bureaus," Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(2), pages 229-247, Fall.
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    Cited by:

    1. Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.
    2. 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.
    3. Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.
    4. Bryan McCannon, 2009. "Can the majority lose the election?," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 305-317, December.
    5. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.
    6. Udo Ebert & Patrick Moyes, 2009. "Household decisions and equivalence scales," Journal of Population Economics, Springer;European Society for Population Economics, pages 1039-1062.

    More about this item

    Keywords

    minority; majority voting; public goods; Nash equilibrium.;

    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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