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Evaluating Voting Systems with Probability Models

Essays by and in Honor of William Gehrlein and Dominique Lepelley

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  • © 2021

Overview

  • 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. The Condorcet Efficiency of Voting Rules and Related Paradoxes

  2. Other Voting Paradoxes

  3. Binary Voting in Federations

  4. Resistance to Manipulations

  5. Game Theory

Keywords

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.


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