The Arrow Impossibility Theorem

The Arrow Impossibility Theorem PDF Author: Eric Maskin
Publisher: Columbia University Press
ISBN: 0231153287
Category : Business & Economics
Languages : en
Pages : 164

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Book Description
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 PDF Author: Eric Maskin
Publisher: Columbia University Press
ISBN: 0231153287
Category : Business & Economics
Languages : en
Pages : 164

Get Book Here

Book Description
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 PDF Author: Eric Maskin
Publisher: Columbia University Press
ISBN: 0231526865
Category : Business & Economics
Languages : en
Pages : 163

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Book Description
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 PDF Author: Jerry S. Kelly
Publisher: Academic Press
ISBN: 1483271269
Category : Social Science
Languages : en
Pages : 207

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Book Description
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 PDF Author: Kenneth Joseph Arrow
Publisher: Yale University Press
ISBN: 9780300013641
Category : Social Science
Languages : en
Pages : 152

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Book Description
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.

How Markets Fail

How Markets Fail PDF Author: Cassidy John
Publisher: Penguin UK
ISBN: 0141939427
Category : Business & Economics
Languages : en
Pages : 485

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Book Description
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.

Social Choice and Individual Values

Social Choice and Individual Values PDF 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 "

Welfare Economics and Social Choice Theory

Welfare Economics and Social Choice Theory PDF 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.

The Theory of Social Choice

The Theory of Social Choice PDF 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.

Arrovian Aggregation Models

Arrovian Aggregation Models PDF Author: Fuad T. Aleskerov
Publisher: Springer Science & Business Media
ISBN: 9780792384519
Category : Business & Economics
Languages : en
Pages : 260

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Book Description
Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment of the alternatives (or pairs of alternatives, or sets of alternatives, etc.) in aggregation procedures. Remaining within the framework of the axiomatic approach and based on the consideration of local rules, Arrovian Aggregation Models investigates three formulations of the aggregation problem according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. In other words, we study three aggregation models. What is common between them is that in all models some analogue of the Independence of Irrelevant Alternatives condition is used, which is why we call these models Arrovian aggregation models. Chapter 1 presents a general description of the problem of axiomatic synthesis of local rules, and introduces problem formulations for various versions of formalization of individual opinions and collective decision. Chapter 2 formalizes precisely the notion of `rationality' of individual opinions and social decision. Chapter 3 deals with the aggregation model for the case of individual opinions and social decisions formalized as binary relations. Chapter 4 deals with Functional Aggregation Rules which transform into a social choice function individual opinions defined as choice functions. Chapter 5 considers another model – Social Choice Correspondences when the individual opinions are formalized as binary relations, and the collective decision is looked for as a choice function. Several new classes of rules are introduced and analyzed.

Handbook of Social Choice and Welfare

Handbook of Social Choice and Welfare PDF Author: Kenneth J. Arrow
Publisher: Elsevier
ISBN: 0080929826
Category : Business & Economics
Languages : en
Pages : 985

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Book Description
This second part of a two-volume set continues to describe economists' efforts to quantify the social decisions people necessarily make and the philosophies that those choices define. Contributors draw on lessons from philosophy, history, and other disciplines, but they ultimately use editor Kenneth Arrow's seminal work on social choice as a jumping-off point for discussing ways to incentivize, punish, and distribute goods. - Develops many subjects from Volume 1 (2002) while introducing new themes in welfare economics and social choice theory - Features four sections: Foundations, Developments of the Basic Arrovian Schemes, Fairness and Rights, and Voting and Manipulation - Appeals to readers who seek introductions to writings on human well-being and collective decision-making - Presents a spectrum of material, from initial insights and basic functions to important variations on basic schemes