Cover for Arrow Impossibility Theorems

Arrow Impossibility Theorems

Book1978

Authors:

JERRY S. KELLY

Arrow Impossibility Theorems

Book1978

 

Cover for Arrow Impossibility Theorems

Authors:

JERRY S. KELLY

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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 theore ... read full description

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  2. Book chapterNo access

    INTRODUCTION

    Pages 1-4

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    1 - FRAMEWORK

    Pages 5-8

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    2 - DECISIVENESS

    Pages 9-18

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    3 - SIMPLICITY: CONDITIONS

    Pages 19-34

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    4 - SIMPLICITY: IMPOSSIBILITY THEOREMS

    Pages 35-53

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    5 - CONDITIONAL DECISIVENESS

    Pages 54-64

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    6 - STRATEGY-PROOFNESS

    Pages 65-82

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    7 - DOMAIN: PART I

    Pages 83-109

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    8 - DOMAIN: PART II

    Pages 110-139

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    9 - RIGHTS EXERCISING

    Pages 140-156

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    10 - UNSOLVED PROBLEMS

    Pages 157-161

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    MATHEMATICAL APPENDIX

    Pages 162-168

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    SELECTED BIBLIOGRAPHY AND REFERENCES

    Pages 169-185

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    AUTHOR INDEX

    Pages 187-190

  16. Book chapterNo access

    SUBJECT INDEX

    Pages 191-194

About the 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.

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.

Details

ISBN

978-0-12-403350-4

Language

English

Published

1978

Copyright

Copyright © 1978 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Authors

JERRY S. KELLY

Department of Economics, Syracuse University, Syracuse, New York