Asymptotic seat bias formulas

Mathias Drton, Udo Schwingenschlögl

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Apportionment methods are used to round the vote proportions of parties in a proportional representation system to integer numbers of seats in the parliament. Seat biases quantify by how much on average a particular apportionment method favors larger (or smaller) parties. In this paper, we prove a previous conjecture on asymptotic seat biases of stationary divisor methods and the quota method of greatest remainders, as the size of the parliament tends to infinity.

Original languageEnglish
Pages (from-to)23-31
Number of pages9
JournalMetrika
Volume62
Issue number1
DOIs
StatePublished - Sep 2005
Externally publishedYes

Keywords

  • Apportionment methods
  • Hamilton
  • Hare
  • Jefferson
  • Rounding methods
  • Sainte-Laguë
  • Webster
  • d'Hondt

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