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Quadratwurzelgesetz von Penrose: Eine Untersuchung mit Hilfe von Machtindizes

Quadratwurzelgesetz von Penrose: Eine Untersuchung mit Hilfe von Machtindizes

          
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About the Book

Bachelorarbeit aus dem Jahr 2014 im Fachbereich Mathematik - Stochastik, Note: 1,5, FernUniversität Hagen, Sprache: Deutsch, Abstract: Oft fragt man sich als Wahlberechtigter, ob diese eine Stimme von so vielen überhaupt etwas bewirken kann. In der Mathematik wurden Formeln entwickelt, die die sogenannte Abstimmungsmacht von Wählern erfassen und damit berechnen, ob und inwiefern man eine ausstehende Entscheidung durch Abgabe seiner Stimme wesentlich beeinflussen kann. Diese Arbeit untersucht die vergangenen und aktuellen politischen Machtverhältnisse in der Europäischen Union, die bereits Grundlage vieler Diskussionen waren. Es wird zunächst vorgestellt, welche Möglichkeiten es gibt, Abstimmungsstärke anhand von Formeln zu berechnen. Folgende Fragen sollen nun näher beleuchtet werden: Waren und sind die Machtverhältnisse in der Europäischen Union fair verteilt oder nicht? Haben EU-Bürger, unabhängig welchen Herkunftslandes, den gleichen Einfluss auf Entscheidungen, die im Rat der Europäischen Union getroffen werden? Können auch Gesetze verabschiedet werden, obwohl die Mehrheit dagegen ist? Die Antworten darauf zeigen, dass selbst das aktuelle Wahlsystem noch änderungsbedürftig ist und wir werden überlegen, wie man die Wahlregeln umgestalten könnte, damit sie gerecht sind. Sie sollten dabei möglichst einfach und verständlich sein, auf mathematischen Formeln basieren und bestimmte Eigenschaften erfüllen. Eine Antwort auf das Problem könnte das Quadratwurzelgesetz von Penrose geben, das Lionel Penrose 1946 aufstellte. Es basiert auf einer Machtdefnition, die John Banzhaf 1965 aufgriff und formulierte. Das 1. Quadratwurzelgesetz von Penrose besagt, dass unter gewissen Voraussetzungen die Penrose-Zahlen (die den politischen Einfluss messen) der Repräsentanten im EU-Ministerrat proportional zur Quadratwurzel der zu vertretenden Bevölkerung sein müssen. Dann ist garantiert, dass jeder EU-Bürger den gleichen Einfluss auf Entscheidungen im EU-Ministerrat hat. Nachdem wi


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Product Details
  • ISBN-13: 9783668789524
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Height: 210 mm
  • No of Pages: 68
  • Spine Width: 4 mm
  • Weight: 104 gr
  • ISBN-10: 3668789525
  • Publisher Date: 30 Aug 2018
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Sub Title: Eine Untersuchung mit Hilfe von Machtindizes
  • Width: 148 mm


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