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Seat excess variances of apportionment methods for proportional representation

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  • Schwingenschlögl, Udo
  • Drton, Mathias

Abstract

Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.

Suggested Citation

  • Schwingenschlögl, Udo & Drton, Mathias, 2006. "Seat excess variances of apportionment methods for proportional representation," Statistics & Probability Letters, Elsevier, vol. 76(16), pages 1723-1730, October.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:16:p:1723-1730
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    References listed on IDEAS

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    1. Udo Schwingenschlögl & Mathias Drton, 2004. "Seat allocation distributions and seat biases of stationary apportionment methods for proportional representation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(2), pages 191-202, September.
    2. Mathias Drton & Udo Schwingenschlögl, 2005. "Asymptotic seat bias formulas," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(1), pages 23-31, September.
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    Cited by:

    1. Schwingenschlögl, Udo, 2007. "Probabilities of majority and minority violation in proportional representation," Statistics & Probability Letters, Elsevier, vol. 77(17), pages 1690-1695, November.
    2. Svante Janson, 2014. "Asymptotic bias of some election methods," Annals of Operations Research, Springer, vol. 215(1), pages 89-136, April.

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