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Resolute majority rules

Author

Listed:
  • Hyewon Jeong

    (Seoul National University
    Washington University in St. Louis)

  • Biung-Ghi Ju

    (Seoul National University)

Abstract

We investigate resolute voting rules that always rank two alternatives strictly and avoid social indecision. Resolute majority rules differ from the standard majority rule in that whenever both alternatives win the same number of votes, a tie-breaking function is used to determine the outcome. We provide axiomatic characterizations of resolute majority rules or resolute majority rules with a quorum. Resoluteness axiom is used in all these results. The other axioms are weaker than those considered in the characterization of the majority rule by May (1952 Econometrica, 20:680–684). In particular, instead of May’s positive responsiveness, we consider a much weaker monotonicity axiom.

Suggested Citation

  • Hyewon Jeong & Biung-Ghi Ju, 2017. "Resolute majority rules," Theory and Decision, Springer, vol. 82(1), pages 31-39, January.
    • Handle: RePEc:kap:theord:v:82:y:2017:i:1:d:10.1007_s11238-016-9563-y
    DOI: 10.1007/s11238-016-9563-y
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    References listed on IDEAS

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    1. Garcia-Lapresta, Jose Luis & Llamazares, Bonifacio, 2001. "Majority decisions based on difference of votes," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 463-481, June.
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    7. Nicolas Houy, 2009. "A characterization of majority voting rules with quorums," Theory and Decision, Springer, vol. 67(3), pages 295-301, September.
    8. 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.
    9. Marc Pauly, 2013. "Characterizing referenda with quorums via strategy-proofness," Theory and Decision, Springer, vol. 75(4), pages 581-597, October.
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    Citations

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    Cited by:

    1. Daniela Bubboloni & Mostapha Diss & Michele Gori, 2020. "Extensions of the Simpson voting rule to the committee selection setting," Public Choice, Springer, vol. 183(1), pages 151-185, April.
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    3. 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.
    4. 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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    More about this item

    Keywords

    Majority rule; Majority rule with a quorum; Resoluteness; Neutrality; Monotonicity; Positive responsiveness;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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