The Arrow Impossibility Theorem

The Arrow Impossibility Theorem
Author: Eric Maskin
Publisher: Columbia University Press
Total Pages: 164
Release: 2014-07-08
Genre: Business & Economics
ISBN: 0231153287

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Kenneth Arrow's pathbreaking Òimpossibility theoremÓ was a watershed in the history of welfare economics, voting theory, and collective choice, demonstrating that there is no voting rule that satisfies the four desirable axioms of decisiveness, consensus, nondictatorship, and independence. In this book, Amartya Sen and Eric Maskin explore the implications of ArrowÕs theorem. Sen considers its ongoing utility, exploring the theoremÕs value and limitations in relation to recent research on social reasoning, while Maskin discusses how to design a voting rule that gets us closer to the idealÑgiven that achieving the ideal is impossible. The volume also contains a contextual introduction by social choice scholar Prasanta K. Pattanaik and commentaries from Joseph E. Stiglitz and Kenneth Arrow himself, as well as essays by Sen and Maskin outlining the mathematical proof and framework behind their assertions.

The Arrow Impossibility Theorem

The Arrow Impossibility Theorem
Author: Eric Maskin
Publisher: Columbia University Press
Total Pages: 163
Release: 2014-07-22
Genre: Business & Economics
ISBN: 0231526865

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Kenneth J. Arrow's pathbreaking "impossibility theorem" was a watershed innovation in the history of welfare economics, voting theory, and collective choice, demonstrating that there is no voting rule that satisfies the four desirable axioms of decisiveness, consensus, nondictatorship, and independence. In this book Eric Maskin and Amartya Sen explore the implications of Arrow's theorem. Sen considers its ongoing utility, exploring the theorem's value and limitations in relation to recent research on social reasoning, and Maskin discusses how to design a voting rule that gets us closer to the ideal—given the impossibility of achieving the ideal. The volume also contains a contextual introduction by social choice scholar Prasanta K. Pattanaik and commentaries from Joseph E. Stiglitz and Kenneth J. Arrow himself, as well as essays by Maskin, Dasgupta, and Sen outlining the mathematical proof and framework behind their assertions.

Arrow Impossibility Theorems

Arrow Impossibility Theorems
Author: Jerry S. Kelly
Publisher: Academic Press
Total Pages: 207
Release: 2014-05-10
Genre: Social Science
ISBN: 1483271269

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Arrow Impossibility Theorems is a 10-chapter text that describes existing impossibility theorems. This book explores a number of formalizations of ethical constraints of the theorems. After an introduction to the framework and notation for Arrow impossibility theorems, this book goes on discussing some concepts and an apparatus of relations among those concepts which are important for the theorems. Other chapters present some impossibility results that serve to point out serious difficulties in some plausible escape routes from the theorems of earlier chapters. The final chapter describes important areas of research that have arisen in the collective choice field in the transition away from studying the conditions of Arrow's theorem alone to the totality of all impossibility theorems. This book is intended primarily for economists.

Social Choice and Individual Values

Social Choice and Individual Values
Author: Kenneth Joseph Arrow
Publisher: Yale University Press
Total Pages: 152
Release: 1963-01-01
Genre: Social Science
ISBN: 9780300013641

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The literature on the theory of social choice has grown considerably beyond the few items in existence at the time the first edition of this book appeared in 1951. Some of the new literature has dealt with the technical, mathematical aspects, more with the interpretive. My own thinking has also evolved somewhat, although I remain far from satisfied with present formulations. The exhaustion of the first edition provides a convenient time for a selective and personal stocktaking in the form of an appended commentary entitled, 'Notes on the Theory of Social Choice, 1963, ' containing reflections on the text and its omissions and on some of the more recent literature. This form has seemed more appropriate than a revision of the original text, which has to some extent acquired a life of its own.

Arrow's Impossibility Theorem in Practice

Arrow's Impossibility Theorem in Practice
Author: Johannes König
Publisher: GRIN Verlag
Total Pages: 21
Release: 2018-11-12
Genre: Political Science
ISBN: 3668832617

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Seminar paper from the year 2018 in the subject Politics - General and Theories of International Politics, grade: 1,7, University of Bayreuth, language: English, abstract: Accurately figuring out the cumulative ordering of preferences of an entire society as an aggregation of the orderings of preferences of many individuals would inherently simplify democratic decision processes. However, the social preference ordering is contingent on the specific procedure, or voting rule, used to aggregate the individual preference orderings. This means that different voting rules can lead to different social preference orderings under the input of the same individual preference orderings. This issue effectuates the questions which of the different possible outcomes is the most legitimate, and by extension which voting rule should be used. Arrow sought to answer these questions by demanding that voting rules satisfy a particular set of democratically desirable qualities – these are referred to as axioms or conditions. A voting rule that succeeds in complying with all the conditions could be considered democratically legitimate. The emerging issue is that no voting rule can possibly satisfy all theconditions simultaneously. The blatant preliminary conclusion of this impossibility theorem is somewhat bleak: our faith in democratic voting procedures might be entirely misguided. The aim of this paper is to ascertain, whether the implications of this impossibility theorem constitute an actual issue for the practical application of preference aggregation – or voting – in a democratic political system. Having argued that certain evasions of the impossibility can be practically justified in most cases, the paper will conclude that the impossibility is only relevant for a negligible number of scenarios. Thus, inferring that in most cases Arrow’s impossibility theorem, albeit theoretically relevant, does not constitute a profound issue for voting procedures in a democratic political system.

Social Choice and Individual Values

Social Choice and Individual Values
Author: Kenneth J. Arrow
Publisher: Yale University Press
Total Pages: 347
Release: 2012-06-26
Genre: Political Science
ISBN: 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 "

Welfare Economics and Social Choice Theory

Welfare Economics and Social Choice Theory
Author: Allan M. Feldman
Publisher: Springer Science & Business Media
Total Pages: 401
Release: 2006-06-14
Genre: Business & Economics
ISBN: 038729368X

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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.

How Markets Fail

How Markets Fail
Author: Cassidy John
Publisher: Penguin UK
Total Pages: 485
Release: 2013-01-31
Genre: Business & Economics
ISBN: 0141939427

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How did we get to where we are? John Cassidy shows that the roots of our most recent financial failure lie not with individuals, but with an idea - the idea that markets are inherently rational. He gives us the big picture behind the financial headlines, tracing the rise and fall of free market ideology from Adam Smith to Milton Friedman and Alan Greenspan. Full of wit, sense and, above all, a deeper understanding, How Markets Fail argues for the end of 'utopian' economics, and the beginning of a pragmatic, reality-based way of thinking. A very good history of economic thought Economist How Markets Fail offers a brilliant intellectual framework . . . fine work New York Times An essential, grittily intellectual, yet compelling guide to the financial debacle of 2009 Geordie Greig, Evening Standard A powerful argument . . . Cassidy makes a compelling case that a return to hands-off economics would be a disaster BusinessWeek This book is a well constructed, thoughtful and cogent account of how capitalism evolved to its current form Telegraph Books of the Year recommendation John Cassidy ... describe[s] that mix of insight and madness that brought the world's system to its knees FT, Book of the Year recommendation Anyone who enjoys a good read can safely embark on this tour with Cassidy as their guide . . . Like his colleague Malcolm Gladwell [at the New Yorker], Cassidy is able to lead us with beguiling lucidity through unfamiliar territory New Statesman John Cassidy has covered economics and finance at The New Yorker magazine since 1995, writing on topics ranging from Alan Greenspan to the Iraqi oil industry and English journalism. He is also now a Contributing Editor at Portfolio where he writes the monthly Economics column. Two of his articles have been nominated for National Magazine Awards: an essay on Karl Marx, which appeared in October, 1997, and an account of the death of the British weapons scientist David Kelly, which was published in December, 2003. He has previously written for Sunday Times in as well as the New York Post, where he edited the Business section and then served as the deputy editor. In 2002, Cassidy published his first book, Dot.Con. He lives in New York.