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Protecting Minorities through the Average Voting Rule

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  • RÉGIS RENAULT
  • ALAIN TRANNOY

Abstract

In the average voting rule, the outcome is some weighted average of votes. The unique average voting outcome is characterized by a median formula, which depends on voters' preferred allocations and some parameters constructed from voters' weights. A minority is said to be protected by a switch in voting rule if the outcome becomes closer to the median bliss point of the minority. Sufficient conditions for minority protection are 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 explore the combined use of average and majority voting in a two‐stage procedure for determining the level and the composition of public expenditures.

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  • 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.
    • Handle: RePEc:bla:jpbect:v:7:y:2005:i:2:p:169-199
    DOI: 10.1111/j.1467-9779.2005.00200.x
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    Cited by:

    1. Philippos Louis & Matias Núñez & Dimitrios Xefteris, 2018. "Beyond Outcomes: Experimental Evidence on the Value of Agreement," University of Cyprus Working Papers in Economics 05-2018, University of Cyprus Department of Economics.
    2. Bo Chen & Bin Zhang & Hua-qing Wu, 2015. "Misreporting behaviour in iterated prisoner's dilemma game with combined trust strategy," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 31-43, January.
    3. Puppe, Clemens & Rollmann, Jana, 2021. "Mean versus median voting in multi-dimensional budget allocation problems. A laboratory experiment," Games and Economic Behavior, Elsevier, vol. 130(C), pages 309-330.
    4. Puppe, Clemens & Rollmann, Jana, 2022. "Participation in voting over budget allocations: A field experiment," Working Paper Series in Economics 155, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    5. Louis, Philippos & Núñez, Matías & Xefteris, Dimitrios, 2023. "Trimming extreme reports in preference aggregation," Games and Economic Behavior, Elsevier, vol. 137(C), pages 116-151.
    6. Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.
    7. Müller, Michael & Puppe, Clemens, 2020. "Strategy-proofness and responsiveness imply minimal participation," Working Paper Series in Economics 138, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    8. 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.
    9. Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.
    10. Haris Aziz & Alexander Lam & Barton E. Lee & Toby Walsh, 2021. "Strategyproof and Proportionally Fair Facility Location," Papers 2111.01566, arXiv.org, revised Nov 2023.
    11. Philippos Louis & Matías Núñez & Dimitrios Xefteris, 2022. "The Virtuous Cycle of Agreement," The Economic Journal, Royal Economic Society, vol. 132(641), pages 326-360.
    12. 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.
    13. Michael Müller & Clemens Puppe, 2023. "Strategy-proofness implies minimal participation under single-peakedness," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 131-151, April.
    14. 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.
    15. 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.
    16. Hirofumi Yamamura & Ryo Kawasaki, 2013. "Generalized average rules as stable Nash mechanisms to implement generalized median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 815-832, March.
    17. K. Kıvanç Aköz & K. Peren Arın & Christina Zenker, 2022. "On the labor market effects of salience of ethnic/racial disputes," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 348-361, April.

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    More about this item

    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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