Proportional quota weighted voting system hierarchies II (original) (raw)

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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](/article/10.1007/s00355-011-0560-3#ref-CR3 "Bean D, Friedman J, Parker C (2010) Proportional quota weighted voting system hierarchies. Soc Choice Welf 34: 397–410. doi: 10.1007/s00355-009-0404-6

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Authors and Affiliations

1. Department of Mathematics, University of San Diego, San Diego, CA, 92110, USA
   Dwight Bean

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Correspondence toDwight Bean.

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Bean, D. Proportional quota weighted voting system hierarchies II.Soc Choice Welf 39, 907–918 (2012). https://doi.org/10.1007/s00355-011-0560-3

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• Received: 16 April 2010
• Accepted: 28 May 2011
• Published: 08 June 2011
• Issue date: October 2012
• DOI: https://doi.org/10.1007/s00355-011-0560-3

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