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Allocation of the EU Parliament seats via integer linear programming and revised quotas

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  • Serafini, Paolo

Abstract

We deal with the problem of assigning seats to the European Parliament within the special requirements imposed by the rules of the EU. Since the usual rounding techniques, like in the divisor methods, may fail to satisfy these requirements, we propose to use integer linear programming (ILP) to provide at the same time rounding and satisfaction of the requirements. Using ILP makes central the choice of quotas to which the seats should be as close as possible. We investigate how the special requirements can affect the very definition of quotas, and define projective quotas. Finally we compare the various methods by using the EU Parliament data.

Suggested Citation

  • Serafini, Paolo, 2012. "Allocation of the EU Parliament seats via integer linear programming and revised quotas," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 107-113.
    • Handle: RePEc:eee:matsoc:v:63:y:2012:i:2:p:107-113
    DOI: 10.1016/j.mathsocsci.2011.08.006
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    References listed on IDEAS

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    1. Geoffrey Grimmett & Jean-François Laslier & Friedrich Pukelsheim & Victoriano Ramirez Gonzalez & Richard J. Rose & Wojciech Slomczynski & Martin Zachariasen & Karol Życzkowski, 2011. "The allocation between the EU member states of the seats in the European Parliament Cambridge Compromise," Working Papers hal-00609946, HAL.
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    Cited by:

    1. 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.
    2. 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.
    3. Słomczyński, Wojciech & Życzkowski, Karol, 2012. "Mathematical aspects of degressive proportionality," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 94-101.
    4. Roland Oliver Hales & Sergio García, 2019. "Congress seat allocation using mathematical optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 426-455, October.
    5. Katarzyna Cegiełka & Janusz Łyko & Radosław Rudek, 2019. "Beyond the Cambridge Compromise algorithm towards degressively proportional allocations," Operational Research, Springer, vol. 19(2), pages 317-332, June.

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