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

González, Victoriano Ramírez; Martı́nez-Aroza, José; García, A. Márquez

doi:10.1016/j.mathsocsci.2011.10.009

Cited by 22 publications

(16 citation statements)

References 5 publications

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“…An impulse for driving the discussion also came from the proposal of a distribution formula put forward in 2006 by V. Ramirez-Gonzalez (Ramírez-González, Palomares, & Márquez, 2006;Ramírez-González, 2010), known as the "parabolic method" and promoted informally by Spain. The "parabolic method" deserves attention for two reasons.…”

Section: Degressively Proportional Distribution Of Seats In the Epmentioning

confidence: 99%

The Concept of Degressive and Progressive Proportionality and Its Normative and Descriptive Applications

Haman

2017

Studies in Logic, Grammar and Rhetoric

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Abstract. The article discusses the concept of progressive and degressive proportionality of the distribution of parliamentary seats. In the first part are presented axiological sources of the principles of proportionality and progressive and degressive proportionality and the history of degressively proportional apportionments of seats in the European Parliament. The main part of the article is devoted to the formulation of proposals for strict formal definition of degressive and progressive proportionality, and a description of the method of apportionment of seats in the European Parliament based on the strict definition of degressive proportionality and maintaining maximum compatibility with former apportionments adopted in multilateral negotiations. The last part of the article consists of a discussion of the possibilities of adopting the concept of progressive proportionality in the analysis of the functioning of parliamentary electoral systems.

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Section: Degressively Proportional Distribution Of Seats In the Epmentioning

confidence: 99%

The Concept of Degressive and Progressive Proportionality and Its Normative and Descriptive Applications

Haman

2017

Studies in Logic, Grammar and Rhetoric

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“…3 For example, with 2012 data the number of degressively proportional allocations exceeds been put forward (see for example [Łyko, Rudek 2013;Martinez-Aroza, Ramirez-Gonzalez 2008;Ramirez-Gonzalez 2007;Słomczyński, Życzkowski 2012;Serafini 2011]). The vast majority of them is based on a construction of a suitable real function which generates allocations.…”

Section: Definition 1 a Positive Sequence Of Sharesmentioning

confidence: 99%

Degressively Proportional Apportionment of Seats in the European Parliament. From a Simple Idea to a Problematic Legal Rule

Cegiełka¹

2016

Mathematical Economics

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The proportional representation of citizens in collegial bodies is today the most frequently applied solution among electoral systems. It assumes an ideal condition with one delegate representing the same number of inhabitants, perceived as the fairest solution. However, in the European Parliament, fairness is seen somewhat differently. Due to the considerable dissimilarity of member states as regards the numbers of their populations, it is assumed as fair that delegates from less populous countries represent more citizens that those from more populous countries. Yet this seemingly uncomplicated idea, soon referred to as degressive proportionality, turned out to be a major problem in practice. This paper presents the story of the efforts to formalize degressive proportionality by members of the European Parliament.

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“…Column A is the Cambridge Compromise "5+Upw" of [5]. Column B is the parabolic allotment of [10]. Columns C and D are power-weighted variants, with exponents 0.91 and 0.9 respectively, and associated population indices as shown.…”

Section: Choice Of Initial Exponentmentioning

confidence: 99%

A power-weighted variant of the EU27 Cambridge Compromise

Grimmett

Oelbermann

Pukelsheim

2012

Mathematical Social Sciences

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Abstract. The Cambridge Compromise composition of the European Parliament allocates five base seats to each Member State's citizenry, and apportions the remaining seats proportionately to population figures using the divisor method with rounding upwards and observing a 96 seat capping. The power-weighted variant avoids the capping step, proceeding instead by a non-linear downweighting of the population figures until the largest State is allocated exactly 96 seats. The pertinent calculations of the variant are described, and its relative constitutional merits are discussed.

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

Cited by 22 publications

References 5 publications

The Concept of Degressive and Progressive Proportionality and Its Normative and Descriptive Applications

The Concept of Degressive and Progressive Proportionality and Its Normative and Descriptive Applications

Degressively Proportional Apportionment of Seats in the European Parliament. From a Simple Idea to a Problematic Legal Rule

A power-weighted variant of the EU27 Cambridge Compromise

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