Seat excess variances of apportionment methods for proportional representation

Udo Schwingenschloegl, Mathias Drton*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.

Original languageEnglish (US)
Pages (from-to)1723-1730
Number of pages8
JournalStatistics and Probability Letters
Volume76
Issue number16
DOIs
StatePublished - Oct 1 2006

Keywords

  • Divisor methods
  • Quota method of greatest remainders
  • Rounding methods
  • Seat bias

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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