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03.09.2025 um 19:30 Uhr
The Foundations of Expected Utility
von P. C. Fishburn
Verlag: Springer Netherlands
Reihe: Theory and Decision Library Nr. 31
Hardcover
ISBN: 9789048183739
Auflage: Softcover reprint of hardcover 1st ed. 1982
Erschienen am 30.12.2010
Sprache: Englisch
Format: 229 mm [H] x 152 mm [B] x 11 mm [T]
Gewicht: 287 Gramm
Umfang: 192 Seiten

Preis: 213,99 €
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Klappentext
Inhaltsverzeichnis

This book offers a unified treatment of my research in the foundations of expected utility theory from around 1965 to 1980. While parts are new, the presentation draws heavily on published articles and a few chapters in my 1970 monograph on utility theory. The diverse notations and styles of the sources have of course been reconciled here, and their topics arranged in a logical sequence. The two parts of the book take their respective cues from the von Neumann-Morgenstern axiomatization of preferences between risky options and from Savage's foundational treatment of decision making under uncertainty. Both parts are studies in the axiomatics of preferences for decision situations and in numerical representations for preferences. Proofs of the representation and uniqueness theorems appear at the ends of the chapters so as not to impede the flow of the discussion. A few warnings on notation are in order. The numbers for theorems cited within a chapter have no prefix if they appear in that chapter, but otherwise carry a chapter prefix (Theorem 3.2 is Theorem 2 in Chapter 3). All lower case Greek letters refer to numbers in the closed interval from o to 1. The same symbol in different chapters has essentially the same meaning with one major exception: x, y, ... mean quite different things in different chapters. I am indebted to many people for their help and encouragement.



1 Introduction.- 2 Linear Utility on Mixture Sets.- 3 Expected Utility for Probability Measures.- 4 Lexicographic Quasilinear Utility.- 5 Linear Utility for Partially Ordered Preferences.- 6 Linear Utilities on Product Sets.- 7 Multilinear Utility on Products of Mixture Sets.- 8 Multilinear Utility for Probability Measures.- 9 Subjective Linear Utility on Products Of Mixture Sets.- 10 Subjective Expected Utility for Arbitrary State Sets.- 11 Subjective Linear Utility for Partially Ordered Preferences.- 12 Subjective Linear Utility with Conditional Preference Comparisons.- References.


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