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Proportional quota weighted voting system hierarchies II

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  • Dwight Bean

Abstract

This article completes a characterization of achievable and unachievable hierarchies in weighted voting systems where the quota is a proportion of the total weight, proving the main conjecture of Bean et al. (Soc Choice Welf 34: 397–410, 2010 ). Copyright Springer-Verlag 2012

Suggested Citation

  • Dwight Bean, 2012. "Proportional quota weighted voting system hierarchies II," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 907-918, October.
    • Handle: RePEc:spr:sochwe:v:39:y:2012:i:4:p:907-918
    DOI: 10.1007/s00355-011-0560-3
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    References listed on IDEAS

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    1. Jane Friedman & Lynn Mcgrath & Cameron Parker, 2006. "Achievable Hierarchies In Voting Games," Theory and Decision, Springer, vol. 61(4), pages 305-318, December.
    2. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    3. Dwight Bean & Jane Friedman & Cameron Parker, 2010. "Proportional quota weighted voting system hierarchies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 397-410, March.
    4. Carreras, Francesc & Freixas, Josep, 1996. "Complete simple games," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 139-155, October.
    5. Lawrence Diffo Lambo & Joël Moulen, 2002. "Ordinal equivalence of power notions in voting games," Theory and Decision, Springer, vol. 53(4), pages 313-325, December.
    6. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
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