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

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Release : 1996
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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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:

Majority Judgment

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Release : 2011-01-28
Genre : Political Science
Kind : eBook
Book Rating : 451/5 ( reviews)

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Book Synopsis Majority Judgment by : Michel Balinski

Download or read book Majority Judgment written by Michel Balinski. This book was released on 2011-01-28. Available in PDF, EPUB and Kindle. Book excerpt: An account of a new theory and method of voting, judging and ranking, majority judgment, shown to be superior to all other known methods. In Majority Judgment, Michel Balinski and Rida Laraki argue that the traditional theory of social choice offers no acceptable solution to the problems of how to elect, to judge, or to rank. They find that the traditional model—transforming the "preference lists" of individuals into a "preference list" of society—is fundamentally flawed in both theory and practice. Balinski and Laraki propose a more realistic model. It leads to an entirely new theory and method—majority judgment—proven superior to all known methods. It is at once meaningful, resists strategic manipulation, elicits honesty, and is not subject to the classical paradoxes encountered in practice, notably Condorcet's and Arrow's. They offer theoretical, practical, and experimental evidence—from national elections to figure skating competitions—to support their arguments. Drawing on insights from wine, sports, music, and other competitions, Balinski and Laraki argue that the question should not be how to transform many individual rankings into a single collective ranking, but rather, after defining a common language of grades to measure merit, how to transform the many individual evaluations of each competitor into a single collective evaluation of all competitors. The crux of the matter is a new model in which the traditional paradigm—to compare—is replaced by a new paradigm—to evaluate.

Condorcet's Paradox

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Author :
Release : 2010-11-11
Genre : Business & Economics
Kind : eBook
Book Rating : 358/5 ( 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 2010-11-11. 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.

Cycles and Social Choice

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Release : 2018-03-22
Genre : Political Science
Kind : eBook
Book Rating : 233/5 ( reviews)

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Book Synopsis Cycles and Social Choice by : Thomas Schwartz

Download or read book Cycles and Social Choice written by Thomas Schwartz. This book was released on 2018-03-22. Available in PDF, EPUB and Kindle. Book excerpt: The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. The discovery of the sources and consequences of such cycles, under majority rule and countless other regimes, constitutes much of the mathematical theory of voting and social choice. This book explores the big questions posed by the paradox of voting: positive questions about how to predict outcomes and explain observed stability, and normative questions about how to hold elections, how to take account of preference intensities, the relevance of social welfare to social choice, and challenges to formal 'rationality', individual and social. The overall lesson is that cycles are facts, ubiquitous, and consequential in non-obvious ways, not puzzles to be solved, much less maladies or misfortunes to be avoided or regretted.

Handbook of Computational Social Choice

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Release : 2016-04-25
Genre : Computers
Kind : eBook
Book Rating : 752/5 ( reviews)

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Book Synopsis Handbook of Computational Social Choice by : Felix Brandt

Download or read book Handbook of Computational Social Choice written by Felix Brandt. This book was released on 2016-04-25. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly growing field of computational social choice, at the intersection of computer science and economics, deals with the computational aspects of collective decision making. This handbook, written by thirty-six prominent members of the computational social choice community, covers the field comprehensively. Chapters devoted to each of the field's major themes offer detailed introductions. Topics include voting theory (such as the computational complexity of winner determination and manipulation in elections), fair allocation (such as algorithms for dividing divisible and indivisible goods), coalition formation (such as matching and hedonic games), and many more. Graduate students, researchers, and professionals in computer science, economics, mathematics, political science, and philosophy will benefit from this accessible and self-contained book.

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