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Produktbild: Additive Representations of Preferences | P. P. Wakker
Weitere Ansicht: Additive Representations of Preferences | P. P. Wakker
Produktbild: Additive Representations of Preferences | P. P. Wakker

Additive Representations of Preferences

A New Foundation of Decision Analysis

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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.

Inhaltsverzeichnis

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.

Produktdetails

Erscheinungsdatum
08. Dezember 2010
Sprache
englisch
Seitenanzahl
208
Reihe
Theory and Decision Library C
Autor/Autorin
P. P. Wakker
Illustrationen
X, 196 p.
Verlag/Hersteller
Produktart
kartoniert
Abbildungen
X, 196 p.
Gewicht
324 g
Größe (L/B/H)
235/155/12 mm
ISBN
9789048140367

Pressestimmen

`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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