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A note on apportionment methods

Author

Listed:
  • Shellshear, Evan

    (Center for Mathematical Economics, Bielefeld University)

Abstract

This paper investigates the suitability of apportionment methods based on the idea of preserving the coalition function of the simple game represented by the populations of the states. The results show that an apportionment method which satisfies desirable properties such as population monotonicity, house monotonicity, etc., does not exist. A classification of simple voting games via winning coalitions is also given.

Suggested Citation

  • Shellshear, Evan, 2011. "A note on apportionment methods," Center for Mathematical Economics Working Papers 391, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:391
    as

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    File URL: https://pub.uni-bielefeld.de/download/2315725/2319840
    File Function: First Version, 2007
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    References listed on IDEAS

    as
    1. Imma Curiel, 2004. "A game-theoretic analysis of the political structure of the Netherlands Antilles," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 491-502, July.
    Full references (including those not matched with items on IDEAS)

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