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A new characterization of absolute qualified majority voting

Author

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  • Nicolas Houy

    (Thema, Université de Cergy-Pontoise)

Abstract

We show that the class of absolute qualified majority voting rules are the only ones to satisfy Anonymity, Neutrality, Monotonicity, Weak Pareto and Decisiveness Non-Equivalence. When there are two alternatives x and y, the latter axiom states that if an individual voting for y can improve the result of x by abstaining, then it is not the case that an individual abstaining can improve the result of x by voting for x.

Suggested Citation

  • Nicolas Houy, 2007. "A new characterization of absolute qualified majority voting," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-07d70001
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    References listed on IDEAS

    as
    1. Houy, Nicolas, 2007. "Some further characterizations for the forgotten voting rules," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 111-121, January.
    2. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
    3. 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.
    4. 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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    Cited by:

    1. Bonifacio Llamazares, 2013. "On the structure of voting systems between two alternatives," Review of Economic Design, Springer;Society for Economic Design, vol. 17(3), pages 239-248, September.
    2. Antonio Quesada, 2012. "A short step between democracy and dictatorship," Theory and Decision, Springer, vol. 72(2), pages 149-166, February.
    3. Ozkes, Ali Ihsan & Sanver, M. Remzi, 2017. "Absolute qualified majoritarianism: How does the threshold matter?," Economics Letters, Elsevier, vol. 153(C), pages 20-22.
    4. Matías Núñez & Giacomo Valletta, 2015. "The informational basis of scoring rules," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 279-297, December.
    5. Quesada, Antonio, 2011. "Parallel axiomatizations of majority and unanimity," Economics Letters, Elsevier, vol. 111(2), pages 151-154, May.
    6. Quesada, Antonio, 2010. "Monotonicity + efficiency + continuity = majority," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 149-153, September.
    7. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.
    8. Susumu Cato & Stéphane Gonzalez & Eric Rémila & Philippe Solal, 2022. "Approval voting versus proportional threshold methods: so far and yet so near," Working Papers halshs-03858356, HAL.
    9. Hoots, Lucas & Powers, Robert C., 2015. "Anonymous and positively responsive aggregation rules," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 9-14.

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    More about this item

    Keywords

    Absolute Qualified Majority Voting.;

    JEL classification:

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

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