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Proportional Representation

Apportionment Methods and Their Applications

Authors: Pukelsheim, Friedrich

  • 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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eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-319-03856-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the eBook  
  • Rental duration: 1 or 6 month
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About this Textbook

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.

About the authors

Friedrich Pukelsheim, Professor for Mathematics, University of Augsburg

Reviews

“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)


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Table of contents (14 chapters)

  • Exposing Methods: The 2009 European Parliament Elections

    Pukelsheim, Friedrich

    Pages 1-29

    Preview Buy Chapter 30,19 €
  • Imposing Constitutionality: The 2009 Bundestag Election

    Pukelsheim, Friedrich

    Pages 30-43

    Preview Buy Chapter 30,19 €
  • From Reals to Integers: Rounding Functions, Rounding Rules

    Pukelsheim, Friedrich

    Pages 44-54

    Preview Buy Chapter 30,19 €
  • Divisor Methods of Apportionment: Divide and Round

    Pukelsheim, Friedrich

    Pages 55-70

    Preview Buy Chapter 30,19 €
  • Quota Methods of Apportionment: Divide and Rank

    Pukelsheim, Friedrich

    Pages 71-79

    Preview Buy Chapter 30,19 €

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-319-03856-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Proportional Representation
Book Subtitle
Apportionment Methods and Their Applications
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-03856-8
DOI
10.1007/978-3-319-03856-8
Edition Number
1
Number of Pages
XXI, 234
Number of Illustrations
3 b/w illustrations
Topics