The Foundations of Expected Utility

P. C. Fishburn

ISBN 10: 9048183731 / ISBN 13: 9789048183739

Published by Springer Netherlands, Springer Netherlands, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789048183739

Bibliographic Details

• Title: The Foundations of Expected Utility
• Publisher: Springer Netherlands, Springer Netherlands
• Publication Date: 2010
• Language: English
• ISBN 10: 9048183731
• ISBN 13: 9789048183739
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 11D millimeters 229 millimeters width by 152 millimeters height by 11 millimeters depth
• Weight: 287 grams

About this title

Synopsis

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.

Review

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