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On party-proportional representation under district distortions

  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - École des Ponts ParisTech (ENPC) - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

The paper presents the problem of choosing the representatives in an assembly when the whole electoral region is subdivided into electoral districts. Because of the two dimensions, geographical (districts) and political (parties), the problem is called bi-apportionment. Often the allocation of seats to districts is pre-determined and furthermore distorted ---meaning that the ratios of the number of assigned seats to population size vary significantly across districts. The paper surveys proposed bi-apportionment methods with a focus on the conflict that may arise between party-proportional representation under district distortions.

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File URL: https://halshs.archives-ouvertes.fr/halshs-00623031v2/document
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Paper provided by HAL in its series PSE Working Papers with number halshs-00623031.

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Date of creation: Oct 2011
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Handle: RePEc:hal:psewpa:halshs-00623031
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00623031v2
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  1. Sebastian Maier & Petur Zachariassen & Martin Zachariasen, 2010. "Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study," Management Science, INFORMS, vol. 56(2), pages 373-387, February.
  2. Gallagher, Michael, 1992. "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities," British Journal of Political Science, Cambridge University Press, vol. 22(04), pages 469-496, October.
  3. Gabrielle Demange & Michel Balinski, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print halshs-00670952, HAL.
  4. Marjorie B. Gassner, 1991. "Biproportional Delegations," Journal of Theoretical Politics, SAGE Publishing, vol. 3(3), pages 321-342, July.
  5. Michel Balinski & Gabrielle Demange, 1989. "Algorithm for Proportional Matrices in Reals and Integers," Post-Print halshs-00585327, HAL.
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