Proportional Representation
Apportionment Methods and Their Applications
Autoren: Pukelsheim, Friedrich
Vorschau- With a foreword by Andrew Duff, MEP
- A rigorous study of electoral systems in Europe
- A detailed compendium of provable quantitative properties in representation systems
- Examples of method intrinsic properties: seat biases, majorization relations, double proportionality, and many more
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- Über dieses Lehrbuch
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The book offers a rigorous description of the procedures that proportional representation systems use to translate vote counts into seat numbers. Since the methodological analysis is guided by practical needs, plenty of empirical instances are provided and reviewed to motivate the development, and to illustrate the results. Concrete examples, like the 2009 elections to the European Parliament in each of the 27 Member States and the 2013 election to the German Bundestag, are analyzed in full detail. The level of mathematical exposition, as well as the relation to political sciences and constitutional jurisprudence makes this book suitable for special graduate courses and seminars.
- Über die Autor*innen
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Friedrich Pukelsheim, Professor for Mathematics, University of Augsburg
- Stimmen zum Buch
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“The monograph presents a contemporary approach to finding proportional representation for parliamentary democracy institutions needed for distribution of the seat numbers close as possible to a structure of the vote counts. … The variety of mathematical settings and innovative techniques presented in the book can be useful to political scientists and graduate students in solving both theoretical and applied problems.” (Stan Lipovetsky, Technometrics, Vol. 59 (3), July, 2017)
“This book contains a rich and complete analysis of both the mathematics of apportionment methods and the application of apportionment methods used in most parliamentary elections. … The topic of this book is not only suitable for mathematicians, but also for politicians, historians and also for people interested in constitutional law and European law. … The mathematical expositions are presented in a clear, concise and clever way.” (Dharma Lesmono, Mathematical Reviews, January, 2015)
- Inhaltsverzeichnis (14 Kapitel)
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Exposing Methods: The 2009 European Parliament Elections
Seiten 1-29
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Imposing Constitutionality: The 2009 Bundestag Election
Seiten 30-43
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From Reals to Integers: Rounding Functions, Rounding Rules
Seiten 44-54
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Divisor Methods of Apportionment: Divide and Round
Seiten 55-70
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Quota Methods of Apportionment: Divide and Rank
Seiten 71-79
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Inhaltsverzeichnis (14 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Proportional Representation
- Buchuntertitel
- Apportionment Methods and Their Applications
- Autoren
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- Friedrich Pukelsheim
- Copyright
- 2014
- Verlag
- Springer International Publishing
- Copyright Inhaber
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-03856-8
- DOI
- 10.1007/978-3-319-03856-8
- Auflage
- 1
- Seitenzahl
- XXI, 234
- Anzahl der Bilder
- 3 schwarz-weiß Abbildungen
- Themen