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Independence, additivity, uncertainty / Karl Vind ; with contributions by Birgit Grodal.

By: Contributor(s): Material type: TextTextSeries: Studies in economic theory ; 14Publication details: Berlin ; Springer-Verlag, c2003.Description: xii, 277 p. : ill. ; 24 cmISBN:
  • 9783540416838 (alk. paper)
Subject(s): DDC classification:
  • 330.0151 23 V779
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.
Summary: This book deals with the important economic problem of uncertainty. It contains all the classical results, but also new results that give a solution to how uncertainty can be formalized.
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Includes bibliographical references (p. [253]-268) and index.

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.

This book deals with the important economic problem of uncertainty. It contains all the classical results, but also new results that give a solution to how uncertainty can be formalized.

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