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Condorcets Paradox
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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 and published by Springer Science & Business Media. This book was released on 2006-08-29 with total page 298 pages. 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.
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 and published by Springer Science & Business Media. This book was released on 2010-11-11 with total page 392 pages. 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.
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 and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 160 pages. 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.
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 and published by Springer. This book was released on 2017-10-14 with total page 193 pages. 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.
Book Synopsis Majority Judgment by : Michel Balinski
Download or read book Majority Judgment written by Michel Balinski and published by MIT Press. This book was released on 2022-06-07 with total page 431 pages. 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.
Book Synopsis Cycles and Social Choice by : Thomas Schwartz
Download or read book Cycles and Social Choice written by Thomas Schwartz and published by Cambridge University Press. This book was released on 2018-03-22 with total page 176 pages. 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.
Book Synopsis Electoral Systems by : Dan S. Felsenthal
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.
Book Synopsis Corruption Conundrum and Other Paradoxes and Dilemmas by : V Raghunathan
Download or read book Corruption Conundrum and Other Paradoxes and Dilemmas written by V Raghunathan and published by Penguin UK. This book was released on 2010-05-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can you be ‘a well-known secret agent’? Why is ‘the only voting method that isn’t flawed a dictatorship’? How is it that ‘Corruption is universally disapproved of, and yet universally practised’? The world of dilemmas and paradoxes touch our lives on a regular basis. In The Corruption Conundrum and Other Paradoxes and Dilemmas, V. Raghunathan, the author of the best-seller Games Indians Play, shares the charms of some of the more interesting examples allowing us to delight in the excitement, mystery, confusion, exasperation and that occasional flash of clarity and enlightenment often experienced when the world of paradoxes and dilemmas hits our own. The book takes the reader through some of the fascinating illustrations, classical and well known as well as the less common examples, in the field of management, finance and work life. Can two positives make a negative? Sample a charming little paradox discussed in the book—the blackmail paradox. ‘It is perfectly legal if you gossip, reveal or threaten to reveal somebody’s secret (unless of course you are bound by a non-disclosure agreement). It is also perfectly legal to ask that somebody for some money. But if you undertake a combination of the two acts, each perfectly legal by itself, with respect to somebody, well you are a criminal, a blackmailer!’ Following the same easy, readable style of his previous best-seller, Games Indians Play, this new book should make absorbing reading and will certainly make you more curious about the world that surrounds us.
Book Synopsis The Mathematics of Preference, Choice and Order by : Steven Brams
Download or read book The Mathematics of Preference, Choice and Order written by Steven Brams and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.
Download or read book Paradoxes written by and published by PediaPress. This book was released on with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopedia of Power by : Keith Dowding
Download or read book Encyclopedia of Power written by Keith Dowding and published by SAGE Publications. This book was released on 2011-02-01 with total page 1365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Power is a central concept in many disciplines in the social sciences, including political science, sociology, social-psychology, organization studies, urban politics and planning. This encyclopedia provides a much needed authoritative and comprehensive coverage of the use of power in those different discourses, enabling the different language communities to learn from each other. It provides a compendium of the concepts that build the ways in which power is conceptualized and provides analyses of related concepts. It also provides a sourcebook for those interested in studying power, and it cross references the many insights that have been provided by theorists over the years. With comprehensive coverage of the use of power in the social sciences, the encyclopedia serves as a one-stop point of reference for the diverse and complex ways in which power has been used. It also provides a reference for debates central to the issues of power in different contexts and for related topics, showing how these disparate topics are related to power. Key Themes - Biography - Concepts Related to Power - Decisions and Game Theory - Institutional Issues - International Relations - Interpersonal Relationships - Intrapersonal Matters - Key Debates - Methodological Issues - Political Science - Political Theory - Social Psychology - Social Theory - Theories of Power - Types of Power - Urban Studies
Book Synopsis Rule by Multiple Majorities by : Sean Ingham
Download or read book Rule by Multiple Majorities written by Sean Ingham and published by Cambridge University Press. This book was released on 2019-02-07 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to say that citizens have control over their leaders? In a democracy, citizens should have some control over how they are governed. If they do not participate directly in making policy, they ought to maintain control over the public officials who design policy on their behalf. Rule by Multiple Majorities develops a novel theory of popular control: an account of what it is, why democracy's promise of popular control is compatible with what we know about actual democracies, and why it matters. While social choice theory suggests there is no such thing as a 'popular will' in societies with at least minimal diversity of opinion, Ingham argues that multiple, overlapping majorities can nonetheless have control, at the same time. After resolving this conceptual puzzle, the author explains why popular control is a realistic and compelling ideal for democracies, notwithstanding voters' low levels of information and other shortcomings.
Book Synopsis Logic and the Foundations of Game and Decision Theory - LOFT 8 by : Giacomo Bonanno
Download or read book Logic and the Foundations of Game and Decision Theory - LOFT 8 written by Giacomo Bonanno and published by Springer Science & Business Media. This book was released on 2010-08-25 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Logic and the Foundations of the Theory of Game and Decision Theory, LOFT8 2008, held in Amsterdam, The Netherlands, July 2008. This volume is based on a selection of the presented papers and invited talks. They survived a thorough and lengthy reviewing process. The LOFT conferences are interdisciplinary events that bring together researchers from a variety of fields: computer science, economics, game theory, linguistics, logic, multi-agent systems, psychology, philosophy, social choice and statistics. Its focus is on the general issue of rationality and agency. The papers collected in this volume reflect the contemporary interests and interdisciplinary scope of the LOFT conferences.
Book Synopsis The Encyclopedia of Public Choice by : Charles Rowley
Download or read book The Encyclopedia of Public Choice written by Charles Rowley and published by Springer Science & Business Media. This book was released on 2004-07-06 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia provides a detailed and comprehensive account of the subject known as public choice. However, the title would not convey suf- ciently the breadth of the Encyclopedia’s contents which can be summarized better as the fruitful interchange of economics, political science and moral philosophy on the basis of an image of man as a purposive and responsible actor who pursues his own objectives as efficiently as possible. This fruitful interchange between the fields outlined above existed during the late eighteenth century during the brief period of the Scottish Enlightenment when such great scholars as David Hume, Adam Ferguson and Adam Smith contributed to all these fields, and more. However, as intell- tual specialization gradually replaced broad-based scholarship from the m- nineteenth century onwards, it became increasingly rare to find a scholar making major contributions to more than one. Once Alfred Marshall defined economics in neoclassical terms, as a n- row positive discipline, the link between economics, political science and moral philosophy was all but severed and economists redefined their role into that of ‘the humble dentist’ providing technical economic information as inputs to improve the performance of impartial, benevolent and omniscient governments in their attempts to promote the public interest. This indeed was the dominant view within an economics profession that had become besotted by the economics of John Maynard Keynes and Paul Samuelson immediately following the end of the Second World War.
Book Synopsis Multicriterion Decision in Management by : Jean-Charles Pomerol
Download or read book Multicriterion Decision in Management written by Jean-Charles Pomerol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multicriterion Decision in Management: Principles and Practice is the first multicriterion analysis book devoted exclusively to discrete multicriterion decision making. Typically, multicriterion analysis is used in two distinct frameworks: Firstly, there is multiple criteria linear programming, which is an extension of the results of linear programming and its associated algorithms. Secondly, there is discrete multicriterion decision making, which is concerned with choices among a finite number of possible alternatives such as projects, investments, decisions, etc. This is the focus of this book. The book concentrates on the basic principles in the domain of discrete multicriterion analysis, and examines each of these principles in terms of their properties and their implications. In multicriterion decision analysis, any optimum in the strict sense of the term does not exist. Rather, multicriterion decision making utilizes tools, methods, and thinking to examine several solutions, each having their advantages and disadvantages, depending on one's point of view. Actually, various methods exist for reaching a good choice in a multicriterion setting and even a complete ranking of the alternatives. The book describes and compares these methods, so-called `aggregation methods', with their advantages and their shortcomings. Clearly, organizations are becoming more complex, and it is becoming harder and harder to disregard complexity of points of view, motivations, and objectives. The day of the single objective (profit, social environment, etc. ) is over and the wishes of all those involved in all their diversity must be taken into account. To do this, a basic knowledge of multicriterion decision analysis is necessary. The objective of this book is to supply that knowledge and enable it to be applied. The book is intended for use by practitioners (managers, consultants), researchers, and students in engineering and business.
Book Synopsis Evaluating Voting Systems with Probability Models by : Mostapha Diss
Download or read book Evaluating Voting Systems with Probability Models written by Mostapha Diss and published by Springer Nature. This book was released on 2020-12-18 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters’ behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.
Book Synopsis The Oxford Handbook of Deliberative Democracy by : André Bächtiger
Download or read book The Oxford Handbook of Deliberative Democracy written by André Bächtiger and published by Oxford University Press. This book was released on 2018-08-30 with total page 977 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deliberative democracy has been one of the main games in contemporary political theory for two decades, growing enormously in size and importance in political science and many other disciplines. The Oxford Handbook of Deliberative Democracy takes stock of deliberative democracy as a research field, in philosophy, in various research programmes in the social sciences and law, and in political practice around the globe. It provides a concise history of deliberative ideals in political thought and discusses their philosophical origins. The Handbook locates deliberation in political systems with different spaces, publics, and venues, including parliaments, courts, governance networks, protests, mini-publics, old and new media, and everyday talk. It engages with practical applications, mapping deliberation as a reform movement and as a device for conflict resolution, documenting the practice and study of deliberative democracy around the world and in global governance.
