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Asymptotic Equivalence of Seat Bias Models

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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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Authors and Affiliations

  1. Institut für Physik, Universität Augsburg, 86135, Augsburg, Germany

    Udo Schwingenschlögl

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  1. Udo Schwingenschlögl
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Correspondence to Udo Schwingenschlögl.

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Schwingenschlögl, U. Asymptotic Equivalence of Seat Bias Models. Statistical Papers 49, 191–200 (2008). https://doi.org/10.1007/s00362-006-0005-8

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  • DOI: https://doi.org/10.1007/s00362-006-0005-8

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