Advertisement

Remarks on Unrounded Degressively Proportional Allocation

  • Katarzyna Cegiełka
  • Piotr Dniestrzański
  • Janusz Łyko
  • Arkadiusz MaciukEmail author
Chapter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11290)

Abstract

The Lisbon Treaty has legally endorsed degressiveness as a principle of distributing indivisible goods. Yet the principle has been implemented in executive acts with insufficient precision. As a result, it cannot be unambiguously applied in practice. Therefore many theoretical studies have been conducted aiming at a more precisely defined formulation of the principle so that resulting allocations could be explicitly derived from primary rules. This paper belongs to such research stream. It aims at submitting a formal definition of unrounded degressively proportional distribution.

Keywords

Elections Fair division Allocation Unrounded degressive proportionality Voting 

References

  1. 1.
    Treaty of Lisbon. Official J. Eur. Union. C 306, 50 (2007)Google Scholar
  2. 2.
    Lamassoure, A., Severin, A.: Report on the composition of the European Parliament. Committee on Constitutional Affairs, A6-0351 (2007)Google Scholar
  3. 3.
    Maciuk, A.: Przykłady podziałów mandatów do Parlamentu Europejskiego spełniających warunki Traktatu Lizbońskiego [Examples of the divisions of seats to the European Parliament that meet the conditions of the Treaty of Lisbon]. Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu. Ekonometria 33(198), 85–96 (2011)Google Scholar
  4. 4.
    Florek, J.: A numerical method to determine a degressive proportional distribution of seats in the European Parliament. Math. Soc. Sci. 63(2), 121–129 (2012)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Łyko, J., Rudek, R.: A fast exact algorithm for the allocation of seats for the EU Parliament. Expert Syst. Appl. 40, 5284–5291 (2013)CrossRefGoogle Scholar
  6. 6.
    Grimmett, G.R.: European apportionment via the Cambridge Compromise. Math. Soc. Sci. 63(2), 68–73 (2012)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Pukelsheim, F.: A parliament of degressive representativeness? Institut für Mathematik, Universität Augsburg, Preprint Nr 015/2007 (2007)Google Scholar
  8. 8.
    Pukelsheim, F.: Putting citizens first: representation and power in the European Union. In: Cichocki, M., Życzkowski, K. (eds.) Institutional Design and Voting Power in the European Union, pp. 235–253. Ashgate, London (2010)Google Scholar
  9. 9.
    Słomczyński, W., Życzkowski, K.: Mathematical aspects of degressive proportionality. Math. Soc. Sci. 63(2), 94–101 (2012)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Haman, J.: Degresywnie proporcjonalny podział mandatów w Parlamencie Europejskim [Degressively proportional division of seats in the European Parliament]. Decyzje 8, 53–78 (2007)Google Scholar
  11. 11.
    Haman, J.: The concept of degressive and progressive proportionality and its normative and descriptive applications. Studies of Logic, Grammar and Rhetoric (2017).  https://doi.org/10.1515/slgr-2017-0019. (in print)CrossRefGoogle Scholar
  12. 12.
    Gualtieri, R., Trzaskowski, R.: Report on the composition of the European Parliament with a view to the 2014 elections. A7-0041/2013 (2013)Google Scholar
  13. 13.
    Report on the composition of the European Parliament (28 January 2018) (2017/2054(INL) – 2017/0900(NLE)). http://www.europarl.europa.eu
  14. 14.
    Pukelsheim, F.: Proportional Representation. Apportionment Methods and Their Applications. Springer, Cham (2014)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Katarzyna Cegiełka
    • 1
  • Piotr Dniestrzański
    • 1
  • Janusz Łyko
    • 1
  • Arkadiusz Maciuk
    • 1
    Email author
  1. 1.Wrocław University of EconomicsWrocławPoland

Personalised recommendations