Asymptotic seat bias formulas

Mathias Drton*, Udo Schwingenschloegl

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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 (US)
Pages (from-to)23-31
Number of pages9
Issue number1
StatePublished - Sep 1 2005


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

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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