P. P. Wakker

Additive Representations of Preferences

A New Foundation of Decision Analysis

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Theory and Decision Library C: 4
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-481-4036-7
• Softcover reprint of hardcover 1st ed. 1988
• Seitenzahl: 208
• Erscheinungstermin: 8. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 324g
• ISBN-13: 9789048140367
• ISBN-10: 9048140366
• Artikelnr.: 32094056

Inhaltsangabe

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.

Rezensionen

`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