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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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    9. 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.
    10. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, 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. Adrian Miroiu, 2018. "Single-profile axiomatizations of the plurality and the simple majority rules," Economics Bulletin, AccessEcon, vol. 38(1), pages 13-19.
    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. José Carlos R. Alcantud, 2020. "Simple Majorities with Voice but No Vote," Group Decision and Negotiation, Springer, vol. 29(5), pages 803-822, October.
    8. Antonio Quesada, 2013. "The Majority Rule with Arbitrators," Group Decision and Negotiation, Springer, vol. 22(2), pages 321-330, March.
    9. Alcantud, José Carlos R., 2019. "Yet another characterization of the majority rule," Economics Letters, Elsevier, vol. 177(C), pages 52-55.
    10. Adrian Miroiu, 2021. "Majority Voting and Higher-Order Societies," Group Decision and Negotiation, Springer, vol. 30(5), pages 983-999, October.
    11. Adrian Miroiu, 2020. "Coalitions of concerned voters: a characterization of the majority rule," Economics Bulletin, AccessEcon, vol. 40(4), pages 2717-2722.

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