Studies in Choice and Welfare

Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

Authors: Gehrlein, William V., Lepelley, Dominique

  • Examines the probability that voting paradoxes will be observed in elections
  • Applies formal mathematical probability models to the analysis of voting rules
  • With a focus on the Condorcet criterion
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  • ISBN 978-3-642-03107-6
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Hardcover $179.00
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Softcover $179.00
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About this book

The likelihood of observing Condorcet's Paradox is known to be very low for elections with a small number of candidates if voters’ preferences on candidates reflect any significant degree of a number of different measures of mutual coherence. This reinforces the intuitive notion that strange election outcomes should become less likely as voters’ preferences become more mutually coherent. Similar analysis is used here to indicate that this notion is valid for most, but not all, other voting paradoxes. This study also focuses on the Condorcet Criterion, which states that the pairwise majority rule winner should be chosen as the election winner, if one exists. Representations for the Condorcet Efficiency of the most common voting rules are obtained here as a function of various measures of the degree of mutual coherence of voters’ preferences. An analysis of the Condorcet Efficiency representations that are obtained yields strong support for using Borda Rule.

Reviews

From the reviews:

“This book bridges the gap between the theoretical literature showing the possibility of counterintuitive results and the empirical findings of many experiments in which these counterintuitive results hardly or not at all appear. This is a very well written book, extremely rich in information, integrating many existing and new results and with an impressive number of references to the literature. It is an important and relevant step forward in the Theory of Social Choice, highly recommended to anyone interested in this field.” (H. C. M. de Swart, Zentralblatt MATH, Vol. 1252, 2012)


Table of contents (9 chapters)

  • Voting Paradoxes and Their Probabilities

    Gehrlein, William V. (et al.)

    Pages 1-47

  • Condorcet’s Paradox and Group Coherence

    Gehrlein, William V. (et al.)

    Pages 49-79

  • Other Incompatibility Paradoxes

    Gehrlein, William V. (et al.)

    Pages 81-121

  • Other Voting Paradoxes

    Gehrlein, William V. (et al.)

    Pages 123-155

  • Condorcet Efficiency and Social Homogeneity

    Gehrlein, William V. (et al.)

    Pages 157-198

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-03107-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-03106-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-26610-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Voting Paradoxes and Group Coherence
Book Subtitle
The Condorcet Efficiency of Voting Rules
Authors
Series Title
Studies in Choice and Welfare
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-03107-6
DOI
10.1007/978-3-642-03107-6
Hardcover ISBN
978-3-642-03106-9
Softcover ISBN
978-3-642-26610-2
Series ISSN
1614-0311
Edition Number
1
Number of Pages
XII, 385
Topics