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Spline methods for degressive proportionality in the composition of the European Parliament

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  • Ramírez González, V.
  • Martínez Aroza, J.
  • Márquez García, A.

Abstract

This paper contains a proposal to determine the distribution of seats of the European Parliament among the member states by using linear spline functions. The Lisbon Treaty establishes that such an allotment must be done under degressive proportion to the population, and that every member state must receive no less than 6 and no more than 96 seats. A definition of degressive proportion was given in 2007 by Lamassoure and Severin as that, the ratio between population and assigned seats should not increase when population decreases. In addition, the Parliament size cannot surpass 751 seats.

Suggested Citation

  • Ramírez González, V. & Martínez Aroza, J. & Márquez García, A., 2012. "Spline methods for degressive proportionality in the composition of the European Parliament," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 114-120.
    • Handle: RePEc:eee:matsoc:v:63:y:2012:i:2:p:114-120
    DOI: 10.1016/j.mathsocsci.2011.10.009
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    References listed on IDEAS

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    1. M. L. BALINSKI & H. P. Young, 1982. "Fair Representation in the European Parliament," Journal of Common Market Studies, Wiley Blackwell, vol. 20(4), pages 361-373, June.
    2. Victoriano Ramírez & Antonio Palomares & Maria L. Márquez, 2006. "Degressively Proportional Methods for the Allotment of the European Parliament Seats Amongst the EU Member States," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 205-220, Springer.
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    Cited by:

    1. Katarzyna Cegielka & Piotr Dniestrzanski & Arkadiusz Maciuk & Maciej Szczecinski, 2022. "The Implications of Possible Enlargements of the European Union for the Configuration of Power in the European Parliament," European Research Studies Journal, European Research Studies Journal, vol. 0(2), pages 145-159.
    2. Janusz Łyko & Radosław Rudek, 2017. "Operations research methods in political decisions: a case study on the European Parliament composition," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 572-586, December.
    3. Blanca L Delgado-Márquez & Michael Kaeding & Antonio Palomares, 2013. "A more balanced composition of the European Parliament with degressive proportionality," European Union Politics, , vol. 14(3), pages 458-471, September.
    4. Katarzyna Cegiełka & Piotr Dniestrzański & Janusz Łyko & Arkadiusz Maciuk & Maciej Szczeciński, 2021. "A neutral core of degressively proportional allocations under lexicographic preferences of agents," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 11(4), pages 667-685, December.
    5. Słomczyński, Wojciech & Życzkowski, Karol, 2012. "Mathematical aspects of degressive proportionality," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 94-101.
    6. Ramírez-González, Victoriano, 2012. "Seat distribution in the European Parliament according to the Treaty of Lisbon," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 130-135.

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