Dominique Lepelley's Books

Elections, Voting Rules and Paradoxical Outcomes

By: William V. Gehrlein,Dominique Lepelley

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Elections, Voting Rules and Paradoxical Outcomes

By: William V. Gehrlein,Dominique Lepelley

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.

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193

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Springer

Published Date

ISBN 10

3319646591

ISBN 13

9783319646596

Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

By: William V. Gehrlein,Dominique Lepelley

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Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

By: William V. Gehrlein,Dominique Lepelley

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.

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392

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Springer Science & Business Media

Published Date

ISBN 10

3642031072

ISBN 13

9783642031076

Elections, Voting Rules and Paradoxical Outcomes

By: William V. Gehrlein,Dominique Lepelley

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Elections, Voting Rules and Paradoxical Outcomes

By: William V. Gehrlein,Dominique Lepelley

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

193

Publisher

Springer

Published Date

ISBN 10

3319646591

ISBN 13

9783319646596

Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

By: William V. Gehrlein,Dominique Lepelley

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Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

By: William V. Gehrlein,Dominique Lepelley

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

392

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642031072

ISBN 13

9783642031076

Book's by Dominique Lepelley

Elections, Voting Rules and Paradoxical Outcomes

Elections, Voting Rules and Paradoxical Outcomes

Voting Paradoxes and Group Coherence

Voting Paradoxes and Group Coherence

Elections, Voting Rules and Paradoxical Outcomes

Elections, Voting Rules and Paradoxical Outcomes

Voting Paradoxes and Group Coherence

Voting Paradoxes and Group Coherence

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