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Condorcet's Paradox

2006-08-29 Business & Economics
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Release : 2006-08-29
Genre : Business & Economics
Kind : eBook
Book Rating : 997/5 ( reviews)

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Book Synopsis Condorcet's Paradox by : William V. Gehrlein

Download or read book Condorcet's Paradox written by William V. Gehrlein. This book was released on 2006-08-29. Available in PDF, EPUB and Kindle. Book excerpt: The book compiles research on Condorcet's Paradox over some two centuries. It begins with a historical overview of the discovery of Condorcet's Paradox in the 18th Century, reviews numerous studies conducted to find actual occurrences of the paradox, and compiles research that has been done to develop mathematical representations for the probability that the paradox will be observed. Combines all approaches that have been used to study this very interesting phenomenon.

Voting Paradoxes and Group Coherence

2010-11-11 Business & Economics
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Release : 2010-11-11
Genre : Business & Economics
Kind : eBook
Book Rating : 072/5 ( 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 2010-11-11. 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.

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.

Solution to Condorcet's Paradox for a Large Number of Voters

1996
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Release : 1996
Genre :
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Book Synopsis Solution to Condorcet's Paradox for a Large Number of Voters by : Andranick S. Tanguiane

Download or read book Solution to Condorcet's Paradox for a Large Number of Voters written by Andranick S. Tanguiane. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

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