Asymptotic equivalence of seat bias models

Udo Schwingenschlögl

doi:10.1007/s00362-006-0005-8

Asymptotic equivalence of seat bias models

Udo Schwingenschlögl^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

Apportionment methods round vote proportions to integer numbers of seats in a parliament. An important issue is whether a given apportionment method treats larger and smaller parties equally or gives rise to seat biases. In this paper two models of quantifying seat biases of popular apportionment methods are compared to each other. The models are found to result in the same asymptotic behaviour when the number of seats available for apportionment grows large.

Original language	English (US)
Pages (from-to)	191-200
Number of pages	10
Journal	Statistical Papers
Volume	49
Issue number	2
DOIs	https://doi.org/10.1007/s00362-006-0005-8
State	Published - Apr 2008
Externally published	Yes

Keywords

Apportionment methods
Rounding methods
Seat bias
Stationary divisor methods

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s00362-006-0005-8

Cite this

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abstract = "Apportionment methods round vote proportions to integer numbers of seats in a parliament. An important issue is whether a given apportionment method treats larger and smaller parties equally or gives rise to seat biases. In this paper two models of quantifying seat biases of popular apportionment methods are compared to each other. The models are found to result in the same asymptotic behaviour when the number of seats available for apportionment grows large.",

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AB - Apportionment methods round vote proportions to integer numbers of seats in a parliament. An important issue is whether a given apportionment method treats larger and smaller parties equally or gives rise to seat biases. In this paper two models of quantifying seat biases of popular apportionment methods are compared to each other. The models are found to result in the same asymptotic behaviour when the number of seats available for apportionment grows large.

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KW - Seat bias

KW - Stationary divisor methods

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Asymptotic equivalence of seat bias models

Abstract

Keywords

ASJC Scopus subject areas

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