Independence, additivity, uncertainty /

This book deals with the important economic problem of uncertainty. The first attempt was to simplify and unify some results usually taught in courses in mathematical economics. The economic interpretation of the results was representations of preferences as sums or integrals and the decomposition o...

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Bibliographic Details
Main Author:	Vind, Karl
Corporate Author:	SpringerLink (Online service)
Other Authors:	Grodal, Birgit
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, [2003]
Series:	Studies in economic theory (Berlin, Germany) ; 14.
Subjects:	Economics, Mathematical. Probabilities. Uncertainty. Utility theory. Onzekerheid. Voorkeur. Nuttigheidstheorie. Waarschijnlijkheid (statistiek) Wiskundige economie. Onafhankelijkheid (wiskunde) Entscheidung bei Unsicherheit. Erwarteter Nutzen. Präferenzrelation. Mathematisches Modell. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Introduction
I. Basic Mathematics
2. Totally preordered sets
3. Preferences and preference functions
4. Totally preordered product sets
5. A subset of a product set
6. Mean groupoids
7. Products of two sets as a mean groupoid
II. Relations on Function Spaces
8. Totally preordered function spaces
9. Relations on function spaces
III. Relations on Measures
10. Relations on sets of probability measures
IV. Integral Representations
11. A general integral representation / Birgit Grodal
12. Special integral representations / Birgit Grodal
V. Decompositions and Uncertainty
13. Decompositions. Uncertainty
14. Uncertainty on products