Additive Representations of Preferences: A New Foundation of Decision Analysis

Author:   P.P. Wakker
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1988
Volume:   4
ISBN:  

9789048140367


Pages:   196
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Additive Representations of Preferences: A New Foundation of Decision Analysis


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Full Product Details

Author:   P.P. Wakker
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1988
Volume:   4
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048140367


ISBN 10:   9048140366
Pages:   196
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

0. Elementary Definitions.- I. From Choice Functions to Binary Relations.- II. Cartesian Product Structure.- III. Additive Representations.- IV. Continuous Subjective Expected Utility.- V. Continuous Subjective Expected Utility for Arbitrary State Spaces.- VI. Subjective Expected Utility with Nonadditive Probabilities.- VII. Concavity on Mixture Spaces and Risk Aversion.- A1. Generalizations of midpoint convexity.- A2. Classical representations of seu-maximization.- A3. Further remarks.- Reference-Footnotes.- Reference-footnotes to Chapter I.- Reference-footnotes to Chapter II.- Reference-footnotes to Chapter III.- Reference-footnotes to Chapter IV.- Reference-footnotes to Chapter V.- Reference-footnotes to Chapter VI.- Reference-footnotes to Chapter VII.- Reference-footnotes to the Appendix.- References.- Author Index.- Notation Index.

Reviews

'This book represents a very real and important contribution to the mathematics of decision theory. The distinguishing feature of Wakker's approach is that he has no need of a reference experiment. There are further results aplenty and much for the decision theorist to ponder. These results will also help psychologists, economists and others formulate and test models of decision-making behaviour. By any standards its publication is a landmark ... excellent survey and summary of the literature on additive preference models. Each page represents the distillation of much thought. As a consequence, it is a book that rewards reading and rereading. Wakker's results and methods of proof will enlighten research into decision theory for many years.' British Journal of Mathematical and Statistical Psychology, 43, 1990


'This book represents a very real and important contribution to the mathematics of decision theory. The distinguishing feature of Wakker's approach is that he has no need of a reference experiment. There are further results aplenty and much for the decision theorist to ponder. These results will also help psychologists, economists and others formulate and test models of decision-making behaviour. By any standards its publication is a landmark ... excellent survey and summary of the literature on additive preference models. Each page represents the distillation of much thought. As a consequence, it is a book that rewards reading and rereading. Wakker's results and methods of proof will enlighten research into decision theory for many years.' British Journal of Mathematical and Statistical Psychology, 43, 1990


`This book represents a very real and important contribution to the mathematics of decision theory. The distinguishing feature of Wakker's approach is that he has no need of a reference experiment. There are further results aplenty and much for the decision theorist to ponder. These results will also help psychologists, economists and others formulate and test models of decision-making behaviour. By any standards its publication is a landmark ... excellent survey and summary of the literature on additive preference models. Each page represents the distillation of much thought. As a consequence, it is a book that rewards reading and rereading. Wakker's results and methods of proof will enlighten research into decision theory for many years.' British Journal of Mathematical and Statistical Psychology, 43, 1990


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