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Stability, Coalitions and Schisms in Proportional Representation Systems

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  • Balinski, M. L.
  • Young, H. P.

Abstract

Methods to allocate seats in proportional representation systems are investigated in terms of underlying common-sense properties. Important among these are concepts of stability, coalition encouragement and schism encouragement. In addition, a new concept of uniformity is introduced which seems inherent in the very idea of the word “method, †and it is shown that this concept is essentially equivalent to a previously investigated property called consistency. These and other criteria are shown to uniquely determine certain methods. In particular, the Jefferson method (incorrectly credited to d'Hondt) and the Quota method are given characterizations which commend them as the principal candidates for use in PR systems.

Suggested Citation

  • Balinski, M. L. & Young, H. P., 1978. "Stability, Coalitions and Schisms in Proportional Representation Systems," American Political Science Review, Cambridge University Press, vol. 72(3), pages 848-858, September.
    • Handle: RePEc:cup:apsrev:v:72:y:1978:i:03:p:848-858_15
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    Cited by:

    1. Jarosław Flis & Wojciech Słomczyński & Dariusz Stolicki, 2020. "Pot and ladle: a formula for estimating the distribution of seats under the Jefferson–D’Hondt method," Public Choice, Springer, vol. 182(1), pages 201-227, January.
    2. Kerem Akartunalı & Philip A. Knight, 2017. "Network models and biproportional rounding for fair seat allocations in the UK elections," Annals of Operations Research, Springer, vol. 253(1), pages 1-19, June.
    3. Bittó, Virág, 2017. "Az Imperiali és Macau politikai választókörzet-kiosztási módszerek empirikus vizsgálata [Empirical Analysis of the Imperiali and Macau Apportionment Methods]," MPRA Paper 79554, University Library of Munich, Germany.

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