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- English
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Arrow Impossibility Theorems
About This Book
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.
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Table of contents
- Front Cover
- Arrow Impossibility Theorems
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- ACKNOWLEDGMENTS
- INTRODUCTION
- CHAPTER 1. FRAMEWORK
- CHAPTER 2. DECISIVENESS
- CHAPTER 3. SIMPLICITY: CONDITIONS
- CHAPTER 4. SIMPLICITY: IMPOSSIBILITY THEOREMS
- CHAPTER 5. CONDITIONAL DECISIVENESS
- CHAPTER 6. STRATEGY-PROOFNESS
- CHAPTER 7. DOMAIN: PART I
- CHAPTER 8. DOMAIN: PART II
- CHAPTER 9. RIGHTS EXERCISING
- CHAPTER 10. UNSOLVED PROBLEMS
- MATHEMATICAL APPENDIX
- SELECTED BIBLIOGRAPHY AND REFERENCES
- AUTHOR INDEX
- SUBJECT INDEX