The Foundations of Expected Utility by Pc Fishburn

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Summary

This book offers a unified treatment of my research in the foundations of expected utility theory from around 1965 to 1980. 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).

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The Foundations of Expected Utility by Pc Fishburn

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.
`..this is the third masterpiece written by the author, ...as such, it is very highly recommended.' Mathematical Reviews
SKU Unavailable
ISBN 13 9789048183739
ISBN 10 9048183731
Title The Foundations of Expected Utility
Author Pc Fishburn
Series Theory And Decision Library
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 2010-12-30
Number of pages 178
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.