Asymptotic seat bias formulas

Mathias Drton; Udo Schwingenschlögl

doi:10.1007/s001840400352

Asymptotic seat bias formulas

Mathias Drton^*, Udo Schwingenschlögl

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	23-31
Number of pages	9
Journal	Metrika
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s001840400352
State	Published - Sep 2005
Externally published	Yes

Keywords

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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10.1007/s001840400352

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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.",

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AB - 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.

KW - Apportionment methods

KW - Hamilton

KW - Hare

KW - Jefferson

KW - Rounding methods

KW - Sainte-Laguë

KW - Webster

KW - d'Hondt

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JO - Metrika

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Asymptotic seat bias formulas

Abstract

Keywords

ASJC Scopus subject areas

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