cover

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 $59.99
price for USA in USD
  • ISBN 978-3-319-64707-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
About this Textbook

The book offers an in-depth study of the translation of vote counts into seat numbers in proportional representation systems  – an approach guided by practical needs. It also provides plenty of empirical instances illustrating the results. It analyzes in detail the 2014 elections to the European Parliament in the 28 member states, as well as the 2009 and 2013 elections to the German Bundestag. This second edition is a complete revision and expanded version of the first edition published in 2014, and many empirical election results that serve as examples have been updated. Further, a final chapter has been added assembling biographical sketches and authoritative quotes from individuals who pioneered the development of apportionment methodology. The mathematical exposition and the interrelations with political science and constitutional jurisprudence make this an apt resource for interdisciplinary courses and seminars on electoral systems and apportionment methods.

About the authors

Friedrich Pukelsheim is professor emeritus of University of Augsburg, where he held the Chair for Stochastics and its Applications from 1983 to 2014. The book grew out of interdisciplinary courses and seminars on electoral systems and apportionment methods conducted during many years in Augsburg and at other academic institutions.  Pukelsheim has published extensively on apportionment issues in journals of mathematics, statistics, political sciences, state law, and history. He has testified as an expert witness before legal and political bodies, including the European Parliament, the German Bundestag, and several German State Diets and Swiss Canton Parliaments.  

Table of contents (16 chapters)

Table of contents (16 chapters)
  • Exposing Methods: The 2014 European Parliament Elections

    Pages 1-40

    Pukelsheim, Friedrich

  • Imposing Constitutionality: The 2009 Bundestag Election

    Pages 41-57

    Pukelsheim, Friedrich

  • From Reals to Integers: Rounding Functions and Rounding Rules

    Pages 59-70

    Pukelsheim, Friedrich

  • Divisor Methods of Apportionment: Divide and Round

    Pages 71-93

    Pukelsheim, Friedrich

  • Quota Methods of Apportionment: Divide and Rank

    Pages 95-105

    Pukelsheim, Friedrich

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-319-64707-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Proportional Representation
Book Subtitle
Apportionment Methods and Their Applications
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-64707-4
DOI
10.1007/978-3-319-64707-4
Softcover ISBN
978-3-319-64706-7
Edition Number
2
Number of Pages
XXVII, 342
Number of Illustrations
10 b/w illustrations, 4 illustrations in colour
Topics