Fr. 238.00

The Foundations of Expected Utility

English · Paperback / Softback

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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.

List of contents

1 Introduction.- 2 Linear Utility on Mixture Sets.- 3 Expected Utility for Probability Measures.- 4 Lexicographic Quasilinear Utility.- 5 Linear Utility for Partially Ordered Preferences.- 6 Linear Utilities on Product Sets.- 7 Multilinear Utility on Products of Mixture Sets.- 8 Multilinear Utility for Probability Measures.- 9 Subjective Linear Utility on Products Of Mixture Sets.- 10 Subjective Expected Utility for Arbitrary State Sets.- 11 Subjective Linear Utility for Partially Ordered Preferences.- 12 Subjective Linear Utility with Conditional Preference Comparisons.- References.

Additional text

`...this is the third masterpiece written by the author, ...as such, it is very highly recommended.' Mathematical Reviews

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`...this is the third masterpiece written by the author, ...as such, it is very highly recommended.' Mathematical Reviews

Product details

Authors P C Fishburn, P. C. Fishburn, P.C. Fishburn, Peter C. Fishburn
Publisher Springer Netherlands
 
Languages English
Product format Paperback / Softback
Released 08.10.2010
 
EAN 9789048183739
ISBN 978-90-481-8373-9
No. of pages 178
Dimensions 154 mm x 228 mm x 11 mm
Weight 299 g
Illustrations XII, 178 p.
Series Theory and Decision Library
Theory and Decision Library
Subject Social sciences, law, business > Sociology > Sociological theories

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