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Independence, additivity, uncertainty

Author: Karl Vind; Birgit Grodal
Publisher: Berlin ; New York : Springer, [2003] ©2003
Series: Studies in economic theory (Berlin, Germany), 14.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 of preferences into utilities and probabilities. The book contains all the classical results, but the main justification  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Vind, Karl.
Independence, additivity, uncertainty
(DLC) 2002036472
(OCoLC)50718868
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Karl Vind; Birgit Grodal
ISBN: 9783540247579 3540247572
OCLC Number: 883392210
Description: 1 online resource (xii, 277 pages) : illustrations.
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.
Series Title: Studies in economic theory (Berlin, Germany), 14.
Responsibility: Karl Vind ; with contributions by Birgit Grodal.
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From the reviews of the first edition:"The most important contribution of this book is to formalize, simplify and unify concepts of uncertainity that occur in mathematical economics. ... This Read more...

 
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