Voting Paradoxes and Group Coherence

Voting Paradoxes and Group Coherence
Author: William V. Gehrlein,Dominique Lepelley
Publsiher: Springer Science & Business Media
Total Pages: 385
Release: 2010-11-11
Genre: Business & Economics
ISBN: 9783642031076

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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.

Voting Paradoxes and Group Coherence

Voting Paradoxes and Group Coherence
Author: William V. Gehrlein,Dominique Lepelley
Publsiher: Unknown
Total Pages: 400
Release: 2011-03-30
Genre: Electronic Book
ISBN: 3642031080

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Elections Voting Rules and Paradoxical Outcomes

Elections  Voting Rules and Paradoxical Outcomes
Author: William V. Gehrlein,Dominique Lepelley
Publsiher: Springer
Total Pages: 183
Release: 2017-10-14
Genre: Business & Economics
ISBN: 9783319646596

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This monograph studies voting procedures based on the probability that paradoxical outcomes like the famous Condorcet Paradox might exist. It is well known that hypothetical examples of many different paradoxical election outcomes can be developed, but this analysis examines factors that are related to the process by which voters form their preferences on candidates that will significantly reduce the likelihood that such voting paradoxes will ever actually be observed. It is found that extreme forms of voting paradoxes should be uncommon events with a small number of candidates. Another consideration is the propensity of common voting rules to elect the Condorcet Winner, which is widely accepted as the best choice as the winner, when it exists. All common voting rules are found to have identifiable scenarios for which they perform well on the basis of this criterion. But, Borda Rule is found to consistently work well at electing the Condorcet Winner, while the other voting rules have scenarios where they work poorly or have a very small likelihood of electing a different candidate than Borda Rule. The conclusions of previous theoretical work are presented in an expository format and they are validated with empirically-based evidence. Practical implications of earlier studies are also developed.

Evaluating Voting Systems with Probability Models

Evaluating Voting Systems with Probability Models
Author: Mostapha Diss,Vincent Merlin
Publsiher: Springer Nature
Total Pages: 412
Release: 2020-12-18
Genre: Business & Economics
ISBN: 9783030485986

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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.

Voting Procedures for Electing a Single Candidate

Voting Procedures for Electing a Single Candidate
Author: Dan S. Felsenthal,Hannu Nurmi
Publsiher: Springer
Total Pages: 134
Release: 2018-01-19
Genre: Business & Economics
ISBN: 9783319740331

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This book deals with 18 voting procedures used or proposed for use in elections resulting in the choice of a single winner. These procedures are evaluated in terms of their ability to avoid paradoxical outcomes. Together with a companion volume by the same authors, Monotonicity Failures Afflicting Procedures for Electing a Single Candidate, published by Springer in 2017, this book aims at giving a comprehensive overview of the most important advantages and disadvantages of procedures thereby assisting decision makers in the choice of a voting procedure that would best suit their purposes.

Electoral Systems

Electoral Systems
Author: Dan S. Felsenthal,Moshé Machover
Publsiher: Springer Science & Business Media
Total Pages: 352
Release: 2012-01-03
Genre: Business & Economics
ISBN: 9783642204418

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Both theoretical and empirical aspects of single- and multi-winner voting procedures are presented in this collection of papers. Starting from a discussion of the underlying principles of democratic representation, the volume includes a description of a great variety of voting procedures. It lists and illustrates their susceptibility to the main voting paradoxes, assesses (under various models of voters' preferences) the probability of paradoxical outcomes, and discusses the relevance of the theoretical results to the choice of voting system.

Advances in Collective Decision Making

Advances in Collective Decision Making
Author: Sascha Kurz,Nicola Maaser,Alexander Mayer
Publsiher: Springer Nature
Total Pages: 409
Release: 2023-05-04
Genre: Business & Economics
ISBN: 9783031216961

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This book presents research on recent developments in collective decision-making. With contributions from leading scholars from a variety of disciplines, it provides an up-to-date overview of applications in social choice theory, welfare economics, and industrial organization. The contributions address, amongst others, topics such as measuring power, the manipulability of collective decisions, and experimental approaches. Applications range from analysis of the complicated institutional rules of the European Union to responsibility-based allocation of cartel damages or the design of webpage rankings. With its interdisciplinary focus, the book seeks to bridge the gap between different disciplinary approaches by pointing to open questions that can only be resolved through collaborative efforts.

The Future of Economic Design

The Future of Economic Design
Author: Jean-François Laslier,Hervé Moulin,M. Remzi Sanver,William S. Zwicker
Publsiher: Springer Nature
Total Pages: 507
Release: 2019-11-15
Genre: Business & Economics
ISBN: 9783030180508

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This collection of essays represents responses by over eighty scholars to an unusual request: give your high level assessment of the field of economic design, as broadly construed. Where do we come from? Where do we go from here? The book editors invited short, informal reflections expressing deeply felt but hard to demonstrate opinions, unsupported speculation, and controversial views of a kind one might not normally risk submitting for review. The contributors – both senior researchers who have shaped the field and promising, younger researchers – responded with a diverse collection of provocative pieces, including: retrospective assessments or surveys of the field; opinion papers; reflections on critical points for the development of the discipline; proposals for the immediate future; "science fiction"; and many more. The readers should have fun reading these unusual pieces – as much as the contributors enjoyed writing them.