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

Abstract

We investigate achievable and unachievable hierarchies in weighted voting systems where the quota is a proportion of the total weight. This extends work of Bean et al. (Theory Dec 65:285–302, 2007) where simple majority achievable hierarchies were characterized. In particular we resolve the question of which hierarchies are possible with common quota rules other than simple majority, such as 2/3-majority or 3/4-majority, and offer a conjecture about proportional quota achievable hierarchies in general.

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Authors and Affiliations

1. Mathematics Department, University of San Diego, San Diego, CA, 92110, USA
   Dwight R. Bean, Jane Friedman & Cameron Parker

Authors

1. Dwight R. Bean
2. Jane Friedman
3. Cameron Parker

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Correspondence toDwight R. Bean.

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Bean, D.R., Friedman, J. & Parker, C. Proportional quota weighted voting system hierarchies.Soc Choice Welf 34, 397–410 (2010). https://doi.org/10.1007/s00355-009-0404-6

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• Received: 12 May 2008
• Accepted: 20 May 2009
• Published: 04 June 2009
• Issue date: March 2010
• DOI: https://doi.org/10.1007/s00355-009-0404-6

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