The principle of degressive proportionality in the distribution of seats in the European Parliament

Katarzyna Cegiełka

Abstract

The dissertation presents the problem of degressively proportional allocation of indivisible homogeneous goods and its main application, i.e. the division of mandates in the European Parliament which is the source of a new concept of justice. The first chapter describes the classical methods of distribution of divisible and indivisible goods. In the second chapter the term of degressive proportionality with fixed boundary conditions has been formalized and the allocation functions, being the most commonly used tool to determine degressively proportional divisions, have been described. The third chapter indicates legal acts which introduce and interpret the rule of degressive proportionality. It also contains the history of the European Parliament. The fourth chapter provides an overview of the main solutions proposed in the literature. In the fifth chapter concept of the balanced division has been introduced and its main properties have been described. Then an algorithm that separates homogeneous indivisible goods in accordance with the new concept has been proposed. It has been shown that the use of the balanced function univocally distinguishes units between gaining and losing as a result of the application of the principle of degressive proportionality. The proposed algorithm has been has been used to determine the distribution of seats in the European Parliament
Diploma typeDoctor of Philosophy
Author Katarzyna Cegiełka (MISaF / IZM / KMiC)
Katarzyna Cegiełka,,
- Katedra Matematyki i Cybernetyki
Title in EnglishThe principle of degressive proportionality in the distribution of seats in the European Parliament
Languagepl polski
Certifying UnitFaculty of Management, Information Systems and Finance (MISaF)
Disciplinefinanse / nauki ekonomiczne(nauki ekonomiczne) / nauki społeczne()
Defense Date06-03-2015
End date19-03-2015
Supervisor Janusz Łyko (MISaF / IZM / KMiC)
Janusz Łyko,,
- Katedra Matematyki i Cybernetyki

Internal reviewers Stanisław Heilpern (MISaF / IZM / KS)
Stanisław Heilpern,,
- Katedra Statystyki
External reviewers Marian Matłoka
Marian Matłoka,,
-
Pages114
Keywords in Englishdegressive proportionality, European Parliament, allocation of indivisible goods, proportional division
Abstract in EnglishThe dissertation presents the problem of degressively proportional allocation of indivisible homogeneous goods and its main application, i.e. the division of mandates in the European Parliament which is the source of a new concept of justice. The first chapter describes the classical methods of distribution of divisible and indivisible goods. In the second chapter the term of degressive proportionality with fixed boundary conditions has been formalized and the allocation functions, being the most commonly used tool to determine degressively proportional divisions, have been described. The third chapter indicates legal acts which introduce and interpret the rule of degressive proportionality. It also contains the history of the European Parliament. The fourth chapter provides an overview of the main solutions proposed in the literature. In the fifth chapter concept of the balanced division has been introduced and its main properties have been described. Then an algorithm that separates homogeneous indivisible goods in accordance with the new concept has been proposed. It has been shown that the use of the balanced function univocally distinguishes units between gaining and losing as a result of the application of the principle of degressive proportionality. The proposed algorithm has been has been used to determine the distribution of seats in the European Parliament
PKT classificationekonomia
Thesis file
Cegielka_K_Zasada_Degresywnej_Proporcjonalnosci_W_Podziale.pdf 2,27 MB

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