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.
`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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