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The majority rule with a chairman

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  • Antonio Quesada

Abstract

For the case of two alternatives and a given finite set of at least three individuals, seven axioms are shown to characterize the rules that are either the relative majority rule or the relative majority in which a given individual, the chairman, can always break ties. An axiomatization of the relative majority rules with a chairman is suggested that holds for an even number of individuals and that, for an odd number of individuals, characterizes the rules that are either the relative majority rule or a relative majority rule with a chairman. Copyright Springer-Verlag 2013

Suggested Citation

  • Antonio Quesada, 2013. "The majority rule with a chairman," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 679-691, March.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:3:p:679-691
    DOI: 10.1007/s00355-011-0633-3
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    References listed on IDEAS

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    1. Jerry S. Kelly & Donald E. Campbell, 2000. "A simple characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 689-700.
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    6. 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.
    7. Antonio Quesada, 2010. "Two axioms for the majority rule," Economics Bulletin, AccessEcon, vol. 30(4), pages 3033-3037.
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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. Bubboloni, Daniela & Gori, Michele, 2015. "Symmetric majority rules," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 73-86.
    3. Hyewon Jeong & Biung-Ghi Ju, 2017. "Resolute majority rules," Theory and Decision, Springer, vol. 82(1), pages 31-39, January.
    4. Adrian Miroiu, 2021. "Majority Voting and Higher-Order Societies," Group Decision and Negotiation, Springer, vol. 30(5), pages 983-999, October.
    5. Daniela Bubboloni & Michele Gori, 2021. "Breaking ties in collective decision-making," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 411-457, June.
    6. McMorris, F.R. & Mulder, Henry Martyn & Novick, Beth & Powers, Robert C., 2021. "Majority rule for profiles of arbitrary length, with an emphasis on the consistency axiom," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 164-174.

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