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The Majority Rule with Arbitrators

Author

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  • Antonio Quesada

    (Universitat Rovira i Virgili)

Abstract

The majority rule with arbitrators is the (relative) majority rule supplemented by the indifference-breaking rule according to which, in case of social indifference under the majority rule, the social preference coincides with the preference of the non-indifferent individual ranked higher in an exogenous ranking of the individuals. For the case of preferences over two alternatives, a characterization of this rule is suggested that relies on axioms of efficiency, inter-anonymity, intra-anonymity, parity, and reducibility. It is also provided a characterization of the set of rules consisting of the majority rule and the majority rule with arbitrators.

Suggested Citation

  • Antonio Quesada, 2013. "The Majority Rule with Arbitrators," Group Decision and Negotiation, Springer, vol. 22(2), pages 321-330, March.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9264-4
    DOI: 10.1007/s10726-011-9264-4
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    References listed on IDEAS

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    1. Fishburn, P. C., 1983. "A new characterization of simple majority," Economics Letters, Elsevier, vol. 13(1), pages 31-35.
    2. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    3. Xu, Yongsheng & Zhong, Zhen, 2010. "Single profile of preferences with variable societies: A characterization of simple majority rule," Economics Letters, Elsevier, vol. 107(2), pages 119-121, May.
    4. Miroiu, Adrian, 2004. "Characterizing majority rule: from profiles to societies," Economics Letters, Elsevier, vol. 85(3), pages 359-363, December.
    5. Woeginger, Gerhard J., 2005. "More on the majority rule: Profiles, societies, and responsiveness," Economics Letters, Elsevier, vol. 88(1), pages 7-11, July.
    6. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    7. 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.
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    Citations

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    Cited by:

    1. José Carlos R. Alcantud, 2020. "Simple Majorities with Voice but No Vote," Group Decision and Negotiation, Springer, vol. 29(5), pages 803-822, October.
    2. Alcantud, José Carlos R., 2019. "Yet another characterization of the majority rule," Economics Letters, Elsevier, vol. 177(C), pages 52-55.

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