Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

  • William V. Gehrlein
  • Dominique Lepelley
Part of the Studies in Choice and Welfare book series (WELFARE)

Table of contents

  1. Front Matter
    Pages i-xii
  2. William V. Gehrlein, Dominique Lepelley
    Pages 1-47
  3. William V. Gehrlein, Dominique Lepelley
    Pages 49-79
  4. William V. Gehrlein, Dominique Lepelley
    Pages 81-121
  5. William V. Gehrlein, Dominique Lepelley
    Pages 123-155
  6. William V. Gehrlein, Dominique Lepelley
    Pages 157-198
  7. William V. Gehrlein, Dominique Lepelley
    Pages 199-247
  8. William V. Gehrlein, Dominique Lepelley
    Pages 249-294
  9. William V. Gehrlein, Dominique Lepelley
    Pages 295-329
  10. William V. Gehrlein, Dominique Lepelley
    Pages 331-366
  11. Back Matter
    Pages 367-385

About this book

Introduction

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.

Keywords

Borda Rule Condorcet Efficiency Condorcet's Paradox Election Procedures Voting Paradoxes

Authors and affiliations

  • William V. Gehrlein
    • 1
  • Dominique Lepelley
    • 2
  1. 1., Department of Business AdministrationUniversity of DelawareNewarkUSA
  2. 2., Faculté de Droit et d' EconomieUniversité de La RéunionSaint-Denis Messag Cedex 9France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-03107-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-03106-9
  • Online ISBN 978-3-642-03107-6
  • Series Print ISSN 1614-0311
  • About this book