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Author: Thomas Schwartz
Publisher: Cambridge University Press
ISBN: 1316853233
Category : Political Science
Languages : en
Pages : 176
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Book Description
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.
Author: Thomas Schwartz
Publisher: Cambridge University Press
ISBN: 1316853233
Category : Political Science
Languages : en
Pages : 176
Get Book Here
Book Description
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.
Author: Kenneth J. Arrow
Publisher: Yale University Press
ISBN: 0300186983
Category : Political Science
Languages : en
Pages : 347
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Book Description
Originally published in 1951, "Social Choice and Individual Values" introduced "Arrow's Impossibility Theorem" and founded the field of social choice theory in economics and political science. This new edition, including a new foreword by Nobel laureate Eric Maskin, reintroduces Arrow's seminal book to a new generation of students and researchers."Far beyond a classic, this small book unleashed the ongoing explosion of interest in social choice and voting theory. A half-century later, the book remains full of profound insight: its central message, 'Arrow's Theorem, ' has changed the way we think."--Donald G. Saari, author of "Decisions and Elections: Explaining the Unexpected "
Author: Christoph Borgers
Publisher: SIAM
ISBN: 0898717620
Category : Political Science
Languages : en
Pages : 233
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Book Description
Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.
Author: John W. Patty
Publisher: Cambridge University Press
ISBN: 1139915487
Category : Political Science
Languages : en
Pages : 223
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Book Description
Governing requires choices, and hence trade-offs between conflicting goals or criteria. This book asserts that legitimate governance requires explanations for such trade-offs and then demonstrates that such explanations can always be found, though not for every possible choice. In so doing, John W. Patty and Elizabeth Maggie Penn use the tools of social choice theory to provide a new and discriminating theory of legitimacy. In contrast with both earlier critics and defenders of social choice theory, Patty and Penn argue that the classic impossibility theorems of Arrow, Gibbard, and Satterthwaite are inescapably relevant to, and indeed justify, democratic institutions. Specifically, these institutions exist to do more than simply make policy - through their procedures and proceedings, these institutions make sense of the trade-offs required when controversial policy decisions must be made.
Author: Michel Regenwetter
Publisher: Cambridge University Press
ISBN: 0521829682
Category : Political Science
Languages : en
Pages : 21
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Book Description
Behavioral Social Choice looks at the probabilistic foundations of collective decision-making rules. The authors challenge much of the existing theoretical wisdom about social choice processes, and seek to restore faith in the possibility of democratic decision-making. In particular, they argue that worries about the supposed prevalence of majority rule cycles that would preclude groups from reaching a final decision about what alternative they prefer have been greatly overstated. In practice, majority rule can be expected to work well in most real-world settings. They provide new insights into how alternative model specifications can change our estimates of social orderings.
Author: Ulle Endriss
Publisher: Lulu.com
ISBN: 1326912097
Category : Computers
Languages : en
Pages : 424
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Book Description
Computational social choice is concerned with the design and analysis of methods for collective decision making. It is a research area that is located at the interface of computer science and economics. The central question studied in computational social choice is that of how best to aggregate the individual points of view of several agents, so as to arrive at a reasonable compromise. Examples include tallying the votes cast in an election, aggregating the professional opinions of several experts, and finding a fair manner of dividing a set of resources amongst the members of a group -- Back cover.
Author: Peter C. Fishburn
Publisher: Princeton University Press
ISBN: 1400868335
Category : Social Science
Languages : en
Pages : 277
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Book Description
One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Yuhui Li
Publisher: University of Michigan Press
ISBN: 0472125923
Category : Political Science
Languages : en
Pages : 166
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Book Description
The election of populist politicians in recent years seems to challenge the commitment to democracy, if not its ideal. This book argues that majority rule is not the problem; rather, the institutions that stabilize majorities are responsible for the suppression of minority interests. Despite the popular notion that social choice instability (or “cycling”) makes it impossible for majorities to make sound legislation, Yuhui Li argues that the best part of democracy is not the large number of people on the winning side; it is that the winners can be easily divided and realigned with the losers in the cycling process. He shows that minorities’ bargaining power depends on their ability to exploit division within the winning coalition and induce its members to defect, an institutionalized uncertainty that is missing in one-party authoritarian systems. Dividing the Rulers theorizes why such division within the majority is important and what kind of institutional features can help a democratic system maintain such division, which is crucial in preventing the “tyranny of the majority.” These institutional solutions point to a direction of institutional reform that academics, politicians, and voters should collectively pursue.
Author: Norman J. Schofield
Publisher: Springer
ISBN: 9783642705984
Category : Business & Economics
Languages : en
Pages : 0
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Book Description
The mathematical theory of voting has intellectual roots extending back two centuries to the writings of Borda and Condorcet. Yet it has only been in the last forty years that general theorems have begun to emerge. With the publication of this volume, Norman Schofield brings the results together in a ,common framework. SOCIAL CHOICE AND DEMOCRACY, however, is not merely a synthetic exercise, for Schofield's own work over the last decade has constituted a major initiative in deepening and' broadening our general understanding of voting arrangements. At last the results of his research, bits and pieces of which have been reported in a number of journals of international standing and in various collections, are coherently and systematically presented as an entirety. For students of democracy -- chiefly philosophers and political scientists, but increasingly economists as well -- the insights of this volume are profound. From it I infer the following.
Author: Allan M. Feldman
Publisher: Springer Science & Business Media
ISBN: 038729368X
Category : Business & Economics
Languages : en
Pages : 401
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Book Description
This book covers the main topics of welfare economics — general equilibrium models of exchange and production, Pareto optimality, un certainty, externalities and public goods — and some of the major topics of social choice theory — compensation criteria, fairness, voting. Arrow's Theorem, and the theory of implementation. The underlying question is this: "Is a particular economic or voting mechanism good or bad for society?" Welfare economics is mainly about whether the market mechanism is good or bad; social choice is largely about whether voting mechanisms, or other more abstract mechanisms, can improve upon the results of the market. This second edition updates the material of the first, written by Allan Feldman. It incorporates new sections to existing first-edition chapters, and it includes several new ones. Chapters 4, 6, 11, 15 and 16 are new, added in this edition. The first edition of the book grew out of an undergraduate welfare economics course at Brown University. The book is intended for the undergraduate student who has some prior familiarity with microeconomics. However, the book is also useful for graduate students and professionals, economists and non-economists, who want an overview of welfare and social choice results unburdened by detail and mathematical complexity. Welfare economics and social choice both probably suffer from ex cessively technical treatments in professional journals and monographs.
