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Absolute Qualified Majoritarianism: How Does the Threshold Matter?

Author

Listed:
  • Ali Ihsan Ozkes

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales)

  • Remzi Sanver

    (Université Paris IX - Paris Dauphine - Université Paris-Dauphine)

Abstract

We study absolute qualified majority rules in a setting with more than two alternatives. We show that given two qualified majority rules, if transitivity is desired for the societal outcome and if the thresholds of one of these rules are at least as high as the other's for any pair of alternatives, then at each preference profile the rule with higher thresholds results in a coarser social ranking. Hence all absolute qualified majority rules can be expressed as specific coarsenings of the simple majority rule.

Suggested Citation

  • Ali Ihsan Ozkes & Remzi Sanver, 2016. "Absolute Qualified Majoritarianism: How Does the Threshold Matter?," Working Papers halshs-01416727, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01416727
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01416727
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    References listed on IDEAS

    as
    1. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
    2. Miroiu, Adrian, 2004. "Characterizing majority rule: from profiles to societies," Economics Letters, Elsevier, vol. 85(3), pages 359-363, December.
    3. Yi, Jianxin, 2005. "A complete characterization of majority rules," Economics Letters, Elsevier, vol. 87(1), pages 109-112, April.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    5. Nicolas Houy, 2007. "A new characterization of absolute qualified majority voting," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
    6. Houy, Nicolas, 2007. "A characterization for qualified majority voting rules," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 17-24, July.
    7. Woeginger, Gerhard J., 2005. "More on the majority rule: Profiles, societies, and responsiveness," Economics Letters, Elsevier, vol. 88(1), pages 7-11, July.
    8. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    9. Llamazares, Bonifacio, 2006. "The forgotten decision rules: Majority rules based on difference of votes," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 311-326, May.
    10. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    11. M. Sanver, 2009. "Characterizations of majoritarianism: a unified approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 159-171, June.
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    More about this item

    Keywords

    simple majority rule; qualified majority rules;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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