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Cycles and Social Choice

Author: Thomas Schwartz

Publisher: Cambridge University Press

Published: 2018-03-22

Total Pages: 176

ISBN-13: 1316853233

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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 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.

Social Choice and Individual Values

Author: Kenneth J. Arrow

Publisher: Yale University Press

Published: 2012-06-26

Total Pages: 347

ISBN-13: 0300186983

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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 "

Book Synopsis Social Choice and Individual Values by : Kenneth J. Arrow

Download or read book Social Choice and Individual Values written by Kenneth J. Arrow and published by Yale University Press. This book was released on 2012-06-26 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 "

Mathematics of Social Choice

Author: Christoph Borgers

Publisher: SIAM

Published: 2010-01-01

Total Pages: 233

ISBN-13: 0898717620

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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.

Book Synopsis Mathematics of Social Choice by : Christoph Borgers

Download or read book Mathematics of Social Choice written by Christoph Borgers and published by SIAM. This book was released on 2010-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dividing the Rulers

Author: Yuhui Li

Publisher: University of Michigan Press

Published: 2019-09-16

Total Pages: 166

ISBN-13: 0472125923

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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.

Book Synopsis Dividing the Rulers by : Yuhui Li

Download or read book Dividing the Rulers written by Yuhui Li and published by University of Michigan Press. This book was released on 2019-09-16 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Behavioral Social Choice

Author: Michel Regenwetter

Publisher: Cambridge University Press

Published: 2006-05-15

Total Pages: 21

ISBN-13: 0521829682

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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.

Book Synopsis Behavioral Social Choice by : Michel Regenwetter

Download or read book Behavioral Social Choice written by Michel Regenwetter and published by Cambridge University Press. This book was released on 2006-05-15 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Democratic Planning and Social Choice Dilemmas

Author: Tore Sager

Publisher: Routledge

Published: 2020-07-24

Total Pages: 307

ISBN-13: 1000152251

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Using the economic approach of social choice theory, this unique book examines difficulties found in democratic processes involved in the creation and implementation of planning policies. Social choice theory focuses on the hard trade-offs to be made between rationality in decision-making on the one hand, and political values such as democracy, liberalism and freedom from manipulation on the other. As an institution can be seen as a set of rules, the focus on rules and procedures of collective choice makes social choice theory well suited for analysing important political aspects of planning institutions. Special attention is given to communicative planning and the logical reasons why all the desirable properties of dialogue cannot be simultaneously attained. The analysis provides original and significant new insights into the process and the institutions involved. It highlights weak spots of present planning techniques and procedures and suggests further steps towards institutionally enriched planning theory.

Book Synopsis Democratic Planning and Social Choice Dilemmas by : Tore Sager

Download or read book Democratic Planning and Social Choice Dilemmas written by Tore Sager and published by Routledge. This book was released on 2020-07-24 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the economic approach of social choice theory, this unique book examines difficulties found in democratic processes involved in the creation and implementation of planning policies. Social choice theory focuses on the hard trade-offs to be made between rationality in decision-making on the one hand, and political values such as democracy, liberalism and freedom from manipulation on the other. As an institution can be seen as a set of rules, the focus on rules and procedures of collective choice makes social choice theory well suited for analysing important political aspects of planning institutions. Special attention is given to communicative planning and the logical reasons why all the desirable properties of dialogue cannot be simultaneously attained. The analysis provides original and significant new insights into the process and the institutions involved. It highlights weak spots of present planning techniques and procedures and suggests further steps towards institutionally enriched planning theory.

Social Choice and Legitimacy

Author: John W. Patty

Publisher: Cambridge University Press

Published: 2014-07-31

Total Pages: 223

ISBN-13: 1139915487

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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.

Book Synopsis Social Choice and Legitimacy by : John W. Patty

Download or read book Social Choice and Legitimacy written by John W. Patty and published by Cambridge University Press. This book was released on 2014-07-31 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of Social Choice

Author: Peter C. Fishburn

Publisher: Princeton University Press

Published: 2015-03-08

Total Pages: 277

ISBN-13: 1400868335

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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.

Book Synopsis The Theory of Social Choice by : Peter C. Fishburn

Download or read book The Theory of Social Choice written by Peter C. Fishburn and published by Princeton University Press. This book was released on 2015-03-08 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trends in Computational Social Choice

Author: Ulle Endriss

Publisher: Lulu.com

Published: 2017-10-26

Total Pages: 424

ISBN-13: 1326912097

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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.

Book Synopsis Trends in Computational Social Choice by : Ulle Endriss

Download or read book Trends in Computational Social Choice written by Ulle Endriss and published by Lulu.com. This book was released on 2017-10-26 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.