Disposing Dictators Demystifying Voting Paradoxes

Author : Donald Saari
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.55/5 ( download)

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Download or read book Disposing Dictators, Demystifying Voting Paradoxes written by Donald Saari and published by . This book was released on 2008-08-25 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified.

Author : Adrian Van Deemen
Publisher : Springer Science & Business Media
ISBN 13 : 3642028659
Total Pages : 273 pages
Book Rating : 4.56/5 ( download)

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Download or read book Collective Decision Making written by Adrian Van Deemen and published by Springer Science & Business Media. This book was released on 2010-06-03 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harrie de Swart is a Dutch logician and mathematician with a great and open int- est in applications of logic. After being confronted with Arrow’s Theorem, Harrie became very interested in social choice theory. In 1986 he took the initiative to start up a group of Dutch scientists for the study of social choice theory. This initiative grew out to a research group and a series of colloquia, which were held approximately every month at the University of Tilburg in The Netherlands. The organization of the colloquia was in the hands of Harrie and under his guidance they became more and more internationally known. Many international scholars liked visiting the social choice colloquia in Tilburg and enjoyed giving one or more presentations about their work. They liked Harrie’s kindness and hospitality, and the openness of the group for anything and everything in the eld of social choice. The Social Choice Theory Group started up by Harrie consisted, and still c- sists, of scholars from several disciplines; mostly economics, mathematics, and (mathematical) psychology. It was set up for the study of and discussion about anything that had to do with social choice theory including, and not in the least, the supervision of PhD students in the theory. Members of the group were, among o- ers, Thom Bezembinder (psychologist), Hans Peters (mathematician), Pieter Ruys (economist), Stef Tijs (mathematician and game theorist) and, of course, Harrie de Swart (logician and mathematician).

Author : Dan S. Felsenthal
Publisher : Springer
ISBN 13 : 3319740334
Total Pages : 134 pages
Book Rating : 4.31/5 ( download)

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Download or read book Voting Procedures for Electing a Single Candidate written by Dan S. Felsenthal and published by Springer. This book was released on 2018-01-19 with total page 134 pages. 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.

Author : Dan S. Felsenthal
Publisher : Springer Science & Business Media
ISBN 13 : 3642204414
Total Pages : 353 pages
Book Rating : 4.18/5 ( download)

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Download or read book Electoral Systems written by Dan S. Felsenthal and published by Springer Science & Business Media. This book was released on 2012-01-03 with total page 353 pages. 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.

Author : Manfred J Holler
Publisher : Springer Science & Business Media
ISBN 13 : 3642359299
Total Pages : 752 pages
Book Rating : 4.93/5 ( download)

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Download or read book Power, Voting, and Voting Power: 30 Years After written by Manfred J Holler and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: The developments over a thirty-year time span in the study of power, especially voting power, are traced in this book, which provides an up-to-date overview of applications of n-person game theory to the study of power in multimember bodies. Other theories that shed light on power distribution (e.g. aggregation theory) are treated as well. The book revisits the themes discussed in the well-known 1982 publication "Power, Voting and Voting Power" (edited by Manfred J. Holler). Thirty years later this essential topic has been taken up again and many of the authors from its predecessor participate here again in discussing the state-of-the-art, demonstrating the achievements of three decades of intensive research, and pointing the way to key issues for future work.

Author : William H. Batchelder
Publisher : Cambridge University Press
ISBN 13 : 1108632467
Total Pages : 631 pages
Book Rating : 4.61/5 ( download)

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Download or read book New Handbook of Mathematical Psychology: Volume 2, Modeling and Measurement written by William H. Batchelder and published by Cambridge University Press. This book was released on 2018-09-27 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics motivated by substantive problems in psychology. Central to its success was the publication of the first Handbook of Mathematical Psychology in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the original Handbook, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. The second volume focuses on areas of mathematics that are used in constructing models of cognitive phenomena and decision making, and on the role of measurement in psychology.

Author : Harrie de Swart
Publisher : Springer
ISBN 13 : 3642210708
Total Pages : 370 pages
Book Rating : 4.09/5 ( download)

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Download or read book Relational and Algebraic Methods in Computer Science written by Harrie de Swart and published by Springer. This book was released on 2011-06-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.

Author : Donald Saari
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886168
Total Pages : 178 pages
Book Rating : 4.69/5 ( download)

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Download or read book Chaotic Elections! written by Donald Saari and published by American Mathematical Soc.. This book was released on 2001-04-03 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does the 2000 U.S. presidential election have in common with selecting a textbook for a calculus course in your department? Was Ralph Nader's influence on the election of George W. Bush greater than the now-famous chads? In Chaotic Elections!, Don Saari analyzes these questions, placing them in the larger context of voting systems in general. His analysis shows that the fundamental problems with the 2000 presidential election are not with the courts, recounts, or defective ballots, but are caused by the very way Americans vote for president. This expository book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Moreover, rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is surprisingly large. These consequences indicate that election outcomes--whether for president, the site of the next Olympics, the chair of a university department, or a prize winner--can differ from what the voters really wanted. They show that by using an inadequate voting procedure, we can, inadvertently, choose badly. To add to the difficulties, it turns out that the mathematical structures of voting admit several strategic opportunities, which are described. Finally, mathematics also helps identify positive results: By using mathematical symmetries, we can identify what the phrase ``what the voters really want'' might mean and obtain a unique voting method that satisfies these conditions. Saari's book should be required reading for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Reading this book requires little more than high school mathematics and an interest in how the apparently simple situation of voting can lead to surprising paradoxes.

Author : Michael A. Jones
Publisher : American Mathematical Society
ISBN 13 : 1470469782
Total Pages : 210 pages
Book Rating : 4.88/5 ( download)

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Download or read book Mathematical Analyses of Decisions, Voting and Games written by Michael A. Jones and published by American Mathematical Society. This book was released on 2024-03-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual AMS Special Session on Mathematics of Decisions, Elections and Games, held on April 8, 2022. Decision theory, voting theory, and game theory are three related areas of mathematics that involve making optimal decisions in different contexts. While these three areas are distinct, much of the recent research in these fields borrows techniques from other branches of mathematics such as algebra, combinatorics, convex geometry, logic, representation theory, etc. The papers in this volume demonstrate how the mathematics of decisions, elections, and games can be used to analyze problems from the social sciences.

Author : Roger D. Congleton
Publisher : Oxford University Press
ISBN 13 : 0190469749
Total Pages : 800 pages
Book Rating : 4.40/5 ( download)

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Download or read book The Oxford Handbook of Public Choice written by Roger D. Congleton and published by Oxford University Press. This book was released on 2018-12-07 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Handbook of Public Choice provides a comprehensive overview of the research in economics, political science, law, and sociology that has generated considerable insight into the politics of democratic and authoritarian systems as well as the influence of different institutional frameworks on incentives and outcomes. The result is an improved understanding of public policy, public finance, industrial organization, and macroeconomics as the combination of political and economic analysis shed light on how various interests compete both within a given rules of the games and, at times, to change the rules. These volumes include analytical surveys, syntheses, and general overviews of the many subfields of public choice focusing on interesting, important, and at times contentious issues. Throughout the focus is on enhancing understanding how political and economic systems act and interact, and how they might be improved. Both volumes combine methodological analysis with substantive overviews of key topics. This first volume covers voting and elections; interest group competition and rent seeking, including corruption and various normative approaches to evaluating policies and politics. Throughout both volumes important analytical concepts and tools are discussed, including their application to substantive topics. Readers will gain increased understanding of rational choice and its implications for collective action; various explanations of voting, including economic and expressive; the role of taxation and finance in government dynamics; how trust and persuasion influence political outcomes; and how revolution, coups, and authoritarianism can be explained by the same set of analytical tools as enhance understanding of the various forms of democracy.