TY - BOOK AU - Vind,Karl AU - Grodal,Birgit TI - Independence, additivity, uncertainty T2 - Studies in economic theory SN - 9783540416838 (alk. paper) U1 - 330.0151 23 PY - 2003/// CY - Berlin PB - Springer-Verlag KW - Mathematical Economics KW - Probabilities KW - Uncertainty KW - Utility theory N1 - 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 N2 - 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 ER -