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  • © 2021

Evaluating Voting Systems with Probability Models

Essays by and in Honor of William Gehrlein and Dominique Lepelley

  • Presents recent research on the analysis of voting rules using the probability approach
  • Follows up on recent books by Gehrlein and Lepelley in the same book series
  • Pays tribute to William Gehrlein’s and Dominique Lepelley’s important work in the field

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

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • Mostapha Diss, Vincent Merlin
    Pages 1-12
  3. The Condorcet Efficiency of Voting Rules and Related Paradoxes

    1. Front Matter

      Pages 13-13
    2. Analyzing the Probability of Election Outcomes with Abstentions

      • William V. Gehrlein, Dominique Lepelley
      Pages 15-53
    3. Condorcet Efficiency of General Weighted Scoring Rules Under IAC: Indifference and Abstention

      • Mostapha Diss, Eric Kamwa, Issofa Moyouwou, Hatem Smaoui
      Pages 55-73
    4. The Effect of Closeness on the Election of a Pairwise Majority Rule Winner

      • Mostapha Diss, Patrizia Pérez-Asurmendi, Abdelmonaim Tlidi
      Pages 75-95
  4. Other Voting Paradoxes

    1. Front Matter

      Pages 117-117
    2. On the Probability of the Ostrogorski Paradox

      • William V. Gehrlein, Vincent Merlin
      Pages 119-135
    3. Violations of Reversal Symmetry Under Simple and Runoff Scoring Rules

      • Raouia Belayadi, Boniface Mbih
      Pages 137-160
  5. Binary Voting in Federations

    1. Front Matter

      Pages 161-161
    2. Majority Efficient Representation of the Citizens in a Federal Union

      • Marc Feix, Dominique Lepelley, Vincent Merlin, Jean-Louis Rouet, Laurent Vidu
      Pages 163-187
    3. “One Man, One Vote” Part 1: Electoral Justice in the U.S. Electoral College: Banzhaf and Shapley/Shubik Versus May

      • Olivier de Mouzon, Thibault Laurent, Michel Le Breton, Issofa Moyouwou
      Pages 189-227
  6. Resistance to Manipulations

    1. Front Matter

      Pages 229-229
    2. Exploring the No-Show Paradox for Condorcet Extensions

      • Felix Brandt, Johannes Hofbauer, Martin Strobel
      Pages 251-273
  7. Game Theory

    1. Front Matter

      Pages 297-297
    2. Dummy Players and the Quota in Weighted Voting Games: Some Further Results

      • Fabrice Barthélémy, Mathieu Martin
      Pages 299-315
    3. Who Wins and Loses Under Approval Voting? An Analysis of Large Elections

      • Sébastien Courtin, Matías Núñez
      Pages 317-343

About this book

This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters’ behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.

Reviews

“The volume gives a comprehensive overview of the state of the art in probability modeling of voting rules. … All chapters in the volume present new results or refer to ones achieved recently.” (Hannu Nurmi, Journal of Economics, Vol. 134, 2021)

Editors and Affiliations

  • Department of Economics, CRESE EA3190, Université Bourgogne Franche-Comté, Besançon, France

    Mostapha Diss

  • Faculty of Economics, Management, and Geography, CNRS and Université de Caen Normandie, Caen, France

    Vincent Merlin

About the editors

Mostapha Diss is a Full Professor of Economics at the University of Franche-Comté and a member of the Centre de recherche sur les stratégies économiques (CRESE).


Vincent Merlin is a CNRS Research Professor of Economics at the University of Caen Normandie, France, since 1997. His research topics incude social choice theory, game theory, and  the  analysis of voting systems.


Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
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