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

`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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Content:
Front Matter....Pages i-7
Elementary Definitions and Notations....Pages 8-12
From Choice Functions to Binary Relations....Pages 13-26
Cartesian Product Structure....Pages 27-40
Additive Representations....Pages 41-77
Continuous Subjective Expected Utility....Pages 78-91
Continuous Subjective Expected Utility for Arbitrary State Spaces....Pages 92-106
Subjective Expected Utility with Nonadditive Probabilities....Pages 107-133
Concavity on Mixture Spaces and Risk Aversion....Pages 134-158
Back Matter....Pages 159-195

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Content:
Front Matter....Pages i-7
Elementary Definitions and Notations....Pages 8-12
From Choice Functions to Binary Relations....Pages 13-26
Cartesian Product Structure....Pages 27-40
Additive Representations....Pages 41-77
Continuous Subjective Expected Utility....Pages 78-91
Continuous Subjective Expected Utility for Arbitrary State Spaces....Pages 92-106
Subjective Expected Utility with Nonadditive Probabilities....Pages 107-133
Concavity on Mixture Spaces and Risk Aversion....Pages 134-158
Back Matter....Pages 159-195
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