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Anonymous and positively responsive aggregation rules

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  • Hoots, Lucas
  • Powers, Robert C.

Abstract

May’s Theorem characterizes simple majority rule with the conditions of anonymity, neutrality, and positive responsiveness. We characterize the class of rules satisfying anonymity and positive responsiveness using the concept of a strong quota pair system.

Suggested Citation

  • Hoots, Lucas & Powers, Robert C., 2015. "Anonymous and positively responsive aggregation rules," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 9-14.
    • Handle: RePEc:eee:matsoc:v:77:y:2015:i:c:p:9-14
    DOI: 10.1016/j.mathsocsci.2015.06.003
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    References listed on IDEAS

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    1. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
    2. Goodin, Robert E. & List, Christian, 2006. "Special Majorities Rationalized," British Journal of Political Science, Cambridge University Press, vol. 36(2), pages 213-241, April.
    3. Perry, Jonathan & Powers, Robert C., 2010. "Anonymity, monotonicity, and quota pair systems," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 57-60, July.
    4. Campbell, Donald E., 1988. "A characterization of simple majority rule for restricted domains," Economics Letters, Elsevier, vol. 28(4), pages 307-310.
    5. Yi, Jianxin, 2005. "A complete characterization of majority rules," Economics Letters, Elsevier, vol. 87(1), pages 109-112, April.
    6. Campbell, Donald E. & Kelly, Jerry S., 2011. "Majority selection of one alternative from a binary agenda," Economics Letters, Elsevier, vol. 110(3), pages 272-273, March.
    7. Nicolas Houy, 2007. "A new characterization of absolute qualified majority voting," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
    8. Houy, Nicolas, 2007. "A characterization for qualified majority voting rules," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 17-24, July.
    9. 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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    Cited by:

    1. Josep Freixas & Montserrat Pons, 2021. "An extension and an alternative characterization of May’s theorem," Annals of Operations Research, Springer, vol. 302(1), pages 137-150, July.

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