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Mathematical aspects of degressive proportionality


  • Słomczyński, Wojciech
  • Życzkowski, Karol


We analyze mathematical properties of apportionment functions in the context of allocating seats in the European Parliament. Some exemplary families of such functions are specified and the corresponding allocations of seats among the Member States of the European Union are presented. We show that the constitutional constraints for the apportionment are so strong that the admissible functions lead to rather similar solutions.

Suggested Citation

  • Słomczyński, Wojciech & Życzkowski, Karol, 2012. "Mathematical aspects of degressive proportionality," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 94-101.
  • Handle: RePEc:eee:matsoc:v:63:y:2012:i:2:p:94-101
    DOI: 10.1016/j.mathsocsci.2011.12.002

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    References listed on IDEAS

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    1. repec:spr:comaot:v:23:y:2017:i:4:d:10.1007_s10588-017-9243-7 is not listed on IDEAS
    2. Macé, Antonin & Treibich, Rafael, 2012. "Computing the optimal weights in a utilitarian model of apportionment," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 141-151.
    3. Janusz Łyko & Radosław Rudek, 0. "Operations research methods in political decisions: a case study on the European Parliament composition," Computational and Mathematical Organization Theory, Springer, vol. 0, pages 1-15.

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