Mathematics and Democracy: Recent Advances in Voting Systems and Collective Choice / Edition 1

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In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones.
All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU,
American Congress, regional, and committee voting are discussed.
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Editorial Reviews

From the Publisher
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)

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Product Details

  • ISBN-13: 9783540356035
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 10/19/2006
  • Series: Studies in Choice and Welfare Series
  • Edition description: 2006
  • Edition number: 1
  • Pages: 256
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.63 (d)

Table of Contents

Preface     v
The Erice Decalogue     xi
Power Indices Taking into Account Agents' Preferences   Fuad Aleskerov     1
The Sunfish Against the Octopus: Opposing Compactness to Gerrymandering   Nicola Apollonio   Ronald I. Becker   Isabella Lari   Federica Ricca   Bruno Simeone     19
Apportionment: Uni- and Bi-Dimensional   Michel Balinski     43
Minimum Total Deviation Apportionments   Paul H. Edelman     55
Comparison of Electoral Systems: Simulative and Game Theoretic Approaches   Vito Fragnelli   Guido Ortona     65
How to Elect a Representative Committee Using Approval Balloting   D. Marc Kilgour   Steven J. Brams   M. Remzi Sanver     83
On Some Distance Aspects in Social Choice Theory   Christian Klamler     97
Algorithms for Biproportional Apportionment   Sebastian Maier     105
Distance from Consensus: A Theme and Variations   Tommi Meskanen   Hannu Nurmi     117
A Strategic Problem in Approval Voting   Jack H. Nagel     133
The Italian Bug: A Flawed Procedure for Bi-Proportional Seat Allocation   Aline Pennisi     151
Current Issues ofApportionment Methods   Friedrich Pukelsheim     167
A Gentle Majority Clause for the Apportionment of Committee Seats   Friedrich Pukelsheim   Sebastian Maier     177
Allotment According to Preferential Vote: Ecuador's Elections   Victoriano Ramirez     189
Degressively Proportional Methods for the Allotment of the European Parliament Seats Amongst the EU Member States   Victoriano Ramirez   Antonio Palomares   Maria L. Marquez     205
Hidden Mathematical Structures of Voting   Donald G. Saari     221
A Comparison of Electoral Formulae for the Faroese Parliament   Petur Zachariassen   Martin Zachariassen     235
List of Talks     253
List of Participants     255
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