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Elections, Voting Rules and Paradoxical Outcomes

2017-10-14 Business & Economics
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Release : 2017-10-14
Genre : Business & Economics
Kind : eBook
Book Rating : 591/5 ( reviews)

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Book Synopsis Elections, Voting Rules and Paradoxical Outcomes by : William V. Gehrlein

Download or read book Elections, Voting Rules and Paradoxical Outcomes written by William V. Gehrlein. This book was released on 2017-10-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electoral Systems

2012-01-03 Business & Economics
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Release : 2012-01-03
Genre : Business & Economics
Kind : eBook
Book Rating : 414/5 ( reviews)

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Book Synopsis Electoral Systems by : Dan S. Felsenthal

Download or read book Electoral Systems written by Dan S. Felsenthal. This book was released on 2012-01-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Voting Paradoxes and Group Coherence

2013-01-02 Business & Economics
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Release : 2013-01-02
Genre : Business & Economics
Kind : eBook
Book Rating : 102/5 ( reviews)

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Book Synopsis Voting Paradoxes and Group Coherence by : William V. Gehrlein

Download or read book Voting Paradoxes and Group Coherence written by William V. Gehrlein. This book was released on 2013-01-02. Available in PDF, EPUB and Kindle. Book excerpt: 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 How to Deal with Them

2013-04-17 Political Science
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Release : 2013-04-17
Genre : Political Science
Kind : eBook
Book Rating : 823/5 ( reviews)

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Book Synopsis Voting Paradoxes and How to Deal with Them by : Hannu Nurmi

Download or read book Voting Paradoxes and How to Deal with Them written by Hannu Nurmi. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Voting paradoxes are unpleasant surprises encountered in voting. Typically they suggest that something is wrong with the way in dividual opinions are being expressed or processed in voting. The outcomes are bizarre, unfair or otherwise implausible, given the expressed opinions of voters. Voting paradoxes have an important role in the history of social choice theory. The founding fathers of the theory, Marquis de Condorcet and Jean-Charles de Borda, were keenly aware of some of them. Indeed, much of the work of these and other forerunners of the modern social choice theory dealt with ways of avoiding paradoxes related to voting. One of the early paradoxes, viz. that bearing the name of Condorcet, has subsequently gained such a prominent place in the literature that it is sometimes called the paradox of voting. One of the aims of the present work is to show that Condorcet's is but one of many paradoxes of voting. Some of these are pretty closely interrelated making it meaningful to classify them. This is the second main aim of this book. The third objective is to suggest ways of dealing with paradoxes. Since voting is and has always been an essential instrument of democratic rule, it is of some in terest to find out how voting paradoxes are being dealt with by past and present methods of voting. Of even greater interest is to find ways of minimizing the probability of occurrence of various paradoxes. By their very nature some paradoxes are unavoidable.

Voting Procedures for Electing a Single Candidate

2018-01-19 Business & Economics
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Release : 2018-01-19
Genre : Business & Economics
Kind : eBook
Book Rating : 334/5 ( reviews)

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Book Synopsis Voting Procedures for Electing a Single Candidate by : Dan S. Felsenthal

Download or read book Voting Procedures for Electing a Single Candidate written by Dan S. Felsenthal. This book was released on 2018-01-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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