Arrow Impossibility Theorems

Arrow Impossibility Theorems

1st Edition - January 1, 1978

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  • Author: Jerry S. Kelly
  • eBook ISBN: 9781483271262

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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.

Table of Contents


  • Preface

    Acknowledgments

    Introduction

    1 Framework

    2 Decisiveness

    3 Simplicity: Conditions

    4 Simplicity: Impossibility Theorems

    5 Conditional Decisiveness

    6 Strategy-Proofness

    7 Domain: Part I

    8 Domain: Part II

    9 Rights Exercising

    10 Unsolved Problems

    Mathematical Appendix

    A. Logic

    B. Sets

    C. Relations and Functions

    D. Integers

    E. Zorn's Lemma

    F. Notation Note

    Selected Bibliography and References

    Author Index

    Subject Index

Product details

  • No. of pages: 206
  • Language: English
  • Copyright: © Academic Press 1978
  • Published: January 1, 1978
  • Imprint: Academic Press
  • eBook ISBN: 9781483271262

About the Author

Jerry S. Kelly

About the Editor

Karl Shell

Affiliations and Expertise

Cornell University

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