The Foundations of Expected Utility

  • Peter C. Fishburn

Part of the Theory and Decision Library book series (TDLU, volume 31)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Peter C. Fishburn
      Pages 1-8
  3. Expected Utility

    1. Front Matter
      Pages 9-9
    2. Peter C. Fishburn
      Pages 11-21
    3. Peter C. Fishburn
      Pages 23-34
    4. Peter C. Fishburn
      Pages 35-55
    5. Peter C. Fishburn
      Pages 57-71
    6. Peter C. Fishburn
      Pages 73-84
    7. Peter C. Fishburn
      Pages 85-98
    8. Peter C. Fishburn
      Pages 99-103
  4. Subjective Expected Utility

    1. Front Matter
      Pages 105-105
  5. Back Matter
    Pages 169-178

About this book

Introduction

This book offers a unified treatment of my research in the foundations of expected utility theory from around 1965 to 1980. While parts are new, the presentation draws heavily on published articles and a few chapters in my 1970 monograph on utility theory. The diverse notations and styles of the sources have of course been reconciled here, and their topics arranged in a logical sequence. The two parts of the book take their respective cues from the von Neumann-Morgenstern axiomatization of preferences between risky options and from Savage's foundational treatment of decision making under uncertainty. Both parts are studies in the axiomatics of preferences for decision situations and in numerical representations for preferences. Proofs of the representation and uniqueness theorems appear at the ends of the chapters so as not to impede the flow of the discussion. A few warnings on notation are in order. The numbers for theorems cited within a chapter have no prefix if they appear in that chapter, but otherwise carry a chapter prefix (Theorem 3.2 is Theorem 2 in Chapter 3). All lower case Greek letters refer to numbers in the closed interval from o to 1. The same symbol in different chapters has essentially the same meaning with one major exception: x, y, ... mean quite different things in different chapters. I am indebted to many people for their help and encouragement.

Keywords

Flow research state treatment

Authors and affiliations

  • Peter C. Fishburn
    • 1
  1. 1.Bell Telephone Laboratories, Inc.Murray HillUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-3329-8
  • Copyright Information Springer Science+Business Media B.V. 1982
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-8373-9
  • Online ISBN 978-94-017-3329-8
  • About this book