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Single profile of preferences with variable societies: A characterization of simple majority rule

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  • Xu, Yongsheng
  • Zhong, Zhen

Abstract

We study simple majority rule for a fixed profile of individuals' preferences and a variable society. Four properties each linking decisions by a group to decisions by its various subgroups are introduced, and are used for characterizing simple majority rule.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ecolet:v:107:y:2010:i:2:p:119-121
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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.
    2. 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.
    3. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
    4. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    5. Miroiu, Adrian, 2004. "Characterizing majority rule: from profiles to societies," Economics Letters, Elsevier, vol. 85(3), pages 359-363, December.
    6. Campbell, Donald E., 1988. "A characterization of simple majority rule for restricted domains," Economics Letters, Elsevier, vol. 28(4), pages 307-310.
    7. Yi, Jianxin, 2005. "A complete characterization of majority rules," Economics Letters, Elsevier, vol. 87(1), pages 109-112, April.
    8. Woeginger, Gerhard J., 2005. "More on the majority rule: Profiles, societies, and responsiveness," Economics Letters, Elsevier, vol. 88(1), pages 7-11, July.
    9. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    10. 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. 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. repec:ebl:ecbull:eb-17-00865 is not listed on IDEAS
    3. Antonio Quesada, 2012. "A short step between democracy and dictatorship," Theory and Decision, Springer, vol. 72(2), pages 149-166, February.
    4. 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.
    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. repec:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9264-4 is not listed on IDEAS

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