Additive Representations of Preferences
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Additive Representations of Preferences : A New Foundation of Decision Analysis

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Product details

  • Hardback | 196 pages
  • 156 x 233.9 x 14.2mm | 476.28g
  • Dordrecht, Netherlands
  • English
  • 1988 ed.
  • X, 196 p.
  • 0792300505
  • 9780792300502

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.
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Review quote

`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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