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 $54.99
price for USA (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
Softcover $69.99
price for USA
  • ISBN 978-3-319-03855-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
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

From the book reviews:

“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

  • Imposing Constitutionality: The 2009 Bundestag Election

    Pukelsheim, Friedrich

    Pages 30-43

  • From Reals to Integers: Rounding Functions, Rounding Rules

    Pukelsheim, Friedrich

    Pages 44-54

  • Divisor Methods of Apportionment: Divide and Round

    Pukelsheim, Friedrich

    Pages 55-70

  • Quota Methods of Apportionment: Divide and Rank

    Pukelsheim, Friedrich

    Pages 71-79

Buy this book

eBook $54.99
price for USA (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
Softcover $69.99
price for USA
  • ISBN 978-3-319-03855-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
Softcover ISBN
978-3-319-03855-1
Edition Number
1
Number of Pages
XXI, 234
Number of Illustrations and Tables
3 b/w illustrations
Topics