Decompositions of Multiattribute Utility Functions Based on Convex Dependence.
CALIFORNIA UNIV DAVIS GRADUATE SCHOOL OF ADMINISTRATION
Pagination or Media Count:
This paper describes a method of assessing multiattribute utility functions. Introduced is the concept of convex dependence, which considers the change of shapes of conditional utility functions. Then, theorems which show how to decompose multiattribute utility functions using convex dependence are established. The convex decompositionincludes as special cases Keeneys additivemultiplicative decompositions, Fishburns bilateral decomposition, and Bells decomposition under the interpolation independence. Moreover, the convex decomposition is an exact grid model which was axiomatized by Fishburn and Farquhar.
- Statistics and Probability