Seat biases of apportionment methods under general distributional assumptions

U. Schwingenschlögl

doi:10.1016/j.aml.2007.02.005

Seat biases of apportionment methods under general distributional assumptions

U. Schwingenschlögl^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Apportionment methods round vote proportions to integer numbers of seats in parliament. Seat biases of an apportionment method are expected differences between the seats actually apportioned to the parties and their ideal fractional shares of seats. In this letter it is shown that, for many popular apportionment methods, asymptotic seat biases for an increasing number of seats in parliament do not depend on the distributional assumption for the vote counts.

Original language	English (US)
Pages (from-to)	1-3
Number of pages	3
Journal	Applied Mathematics Letters
Volume	21
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2007.02.005
State	Published - Jan 2008
Externally published	Yes

Keywords

Apportionment method
Hamilton method
Rounding method
Seat bias
Stationary divisor methods

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2007.02.005

Cite this

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title = "Seat biases of apportionment methods under general distributional assumptions",

abstract = "Apportionment methods round vote proportions to integer numbers of seats in parliament. Seat biases of an apportionment method are expected differences between the seats actually apportioned to the parties and their ideal fractional shares of seats. In this letter it is shown that, for many popular apportionment methods, asymptotic seat biases for an increasing number of seats in parliament do not depend on the distributional assumption for the vote counts.",

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AB - Apportionment methods round vote proportions to integer numbers of seats in parliament. Seat biases of an apportionment method are expected differences between the seats actually apportioned to the parties and their ideal fractional shares of seats. In this letter it is shown that, for many popular apportionment methods, asymptotic seat biases for an increasing number of seats in parliament do not depend on the distributional assumption for the vote counts.

KW - Apportionment method

KW - Hamilton method

KW - Rounding method

KW - Seat bias

KW - Stationary divisor methods

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ER -

Seat biases of apportionment methods under general distributional assumptions

Abstract

Keywords

ASJC Scopus subject areas

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