Voting Paradoxes and Group Coherence

The Condorcet Efficiency of Voting Rules

Nonfiction, Social & Cultural Studies, Political Science, Politics, Economic Conditions, Business & Finance, Economics, Theory of Economics
Cover of the book Voting Paradoxes and Group Coherence by William V. Gehrlein, Dominique Lepelley, Springer Berlin Heidelberg
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Author: William V. Gehrlein, Dominique Lepelley ISBN: 9783642031076
Publisher: Springer Berlin Heidelberg Publication: November 11, 2010
Imprint: Springer Language: English
Author: William V. Gehrlein, Dominique Lepelley
ISBN: 9783642031076
Publisher: Springer Berlin Heidelberg
Publication: November 11, 2010
Imprint: Springer
Language: English

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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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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