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  • Conference proceedings
  • © 2006

Mathematics and Democracy

Recent Advances in Voting Systems and Collective Choice

  • Insight into the latest developments in the emerging, multidisciplinary science of voting systems and social choice
  • With a broad view on real-life applications

Part of the book series: Studies in Choice and Welfare (WELFARE)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xii
  2. The Sunfish Against the Octopus: Opposing Compactness to Gerrymandering

    • Nicola Apollonio, Ronald I. Becker, Isabella Lari, Federica Ricca, Bruno Simeone
    Pages 19-41
  3. Apportionment: Uni- and Bi-Dimensional

    • Michel Balinski
    Pages 43-53
  4. Minimum Total Deviation Apportionments

    • Paul H. Edelman
    Pages 55-64
  5. How to Elect a Representative Committee Using Approval Balloting

    • D. Marc Kilgour, Steven J. Brams, M. Remzi Sanver
    Pages 83-95
  6. On Some Distance Aspects in Social Choice Theory

    • Christian Klamler
    Pages 97-104
  7. Algorithms for Biproportional Apportionment

    • Sebastian Maier
    Pages 105-116
  8. Distance from Consensus: A Theme and Variations

    • Tommi Meskanen, Hannu Nurmi
    Pages 117-132
  9. A Strategic Problem in Approval Voting

    • Jack H. Nagel
    Pages 133-150
  10. Current Issues of Apportionment Methods

    • Friedrich Pukelsheim
    Pages 167-176
  11. A Gentle Majority Clause for the Apportionment of Committee Seats

    • Friedrich Pukelsheim, Sebastian Maier
    Pages 177-188
  12. Hidden Mathematical Structures of Voting

    • Donald G. Saari
    Pages 221-234
  13. A Comparison of Electoral Formulae for the Faroese Parliament

    • Petur Zachariassen, Martin Zachariassen
    Pages 235-251
  14. Back Matter

    Pages 253-255

Reviews

From the reviews:

"The … book is an edited volume, and exhibits both the flaws and virtues of that genre. … I found the book interesting and important. … the book is well worth having on your shelf. … It would be useful, in fact, as a classroom exercise for students in a variety of disciplines, because it both illustrates the unnatural power of mathematics to illuminate hard questions and unites several apparently unrelated problems in a single analytic rubric. … this is a valuable and important book." (Michael Munger, Public Choice, Vol. 132, 2007)

"This is a fine collection of 17 papers chosen from contributions to the International Workshop on Mathematics and Democracy: Voting Systems and Collective Choice that took place in Erice, Sicily in 2005. … one will walk away from this volume with the sense that one has been exposed to the research frontier of the electoral system theory." (Ugur Ozdemir, Social Choice and Welfare, Vol. 31, 2008)

Editors and Affiliations

  • Department of Statistics, University of Rome »La Sapienza«, Rome, Italy

    Bruno Simeone

  • Institute of Mathematics, University of Augsburg, Augsburg, Germany

    Friedrich Pukelsheim

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access