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Parametric vs. divisor methods of apportionment

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  • Michel Balinski
  • Victoriano Ramirez

Abstract

This paper formulates a new criterion that distinguishes the set of parametric methods within the set of all the divisor methods of apportionment. The criterion—that a method transfer seats as it “should”—asks that as population (or the votes of parties in a PR system) is shifted more and more from one state to another state (from one party to another party) at some point the first state (or party) is apportioned one less seat, the second state (or party) one more seat, and the remaining apportionments are as they were. It goes on to examine several properties of parametric methods. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Michel Balinski & Victoriano Ramirez, 2014. "Parametric vs. divisor methods of apportionment," Annals of Operations Research, Springer, vol. 215(1), pages 39-48, April.
    • Handle: RePEc:spr:annopr:v:215:y:2014:i:1:p:39-48:10.1007/s10479-012-1120-7
    DOI: 10.1007/s10479-012-1120-7
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    References listed on IDEAS

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    1. H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
    2. Balinski, Michel & Ramirez, Victoriano, 1999. "Parametric methods of apportionment, rounding and production," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 107-122, March.
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    Cited by:

    1. Palomares, Antonio & Pukelsheim, Friedrich & Ramírez, Victoriano, 2016. "The whole and its parts: On the coherence theorem of Balinski and Young," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 11-19.

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