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Preferring Stronger Parties to Weaker Parties: Majorization

Friedrich Pukelsheim
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Friedrich Pukelsheim: Universität Augsburg, Institut für Mathematik

Chapter Chapter 8 in Proportional Representation, 2017, pp 149-157 from Springer

Abstract: Abstract Majorization is an order relation for the comparison of two apportionment methods. Some method A is majorized by some other method B when every group of stronger parties garners under A at most as many seats as it garners under B. Specifically, a divisor method is majorized by another divisor method if and only if their signpost ratios are increasing. The family of stationary divisor methods is monotonic with regard to majorization, as is the family of power-mean divisor methods.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64707-4_8

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DOI: 10.1007/978-3-319-64707-4_8

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