论文信息 - Spline methods for degressive proportionality in the composition of the European Parliament

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

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.

José Martínez-Aroza | V. Ramírez-González | A. Márquez García

[1] D. Phinnemore. The Treaty of Lisbon: Origins and Negotiation , 2013 .

[2] José Martínez-Aroza,et al. Several methods for degressively proportional allotments. A case study , 2008, Math. Comput. Model..

[3] Martin Zachariasen,et al. The allocation between the EU member states of the seats in the European Parliament Cambridge Compromise , 2011 .

[4] Victoriano Ramírez,et al. Degressively Proportional Methods for the Allotment of the European Parliament Seats Amongst the EU Member States , 2006 .

[5] Victoriano Ramírez-González. Seat distribution in the European Parliament according to the Treaty of Lisbon , 2012, Math. Soc. Sci..

[6] Wojciech Slomczynski,et al. Mathematical aspects of degressive proportionality , 2011, Math. Soc. Sci..