Accession Number : ADA115048

Title :   Decompositions of Multiattribute Utility Functions Based on Convex Dependence.

Descriptive Note : Working paper,

Corporate Author : CALIFORNIA UNIV DAVIS GRADUATE SCHOOL OF ADMINISTRATION

Personal Author(s) : Tamura,Hiroyuki ; Nakamura,Yutaka

PDF Url : ADA115048

Report Date : Mar 1982

Pagination or Media Count : 34

Abstract : 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 Keeney's additive/multiplicative decompositions, Fishburn's bilateral decomposition, and Bell's decomposition under the interpolation independence. Moreover, the convex decomposition is an exact grid model which was axiomatized by Fishburn and Farquhar.

Descriptors :   *Convex sets, Functions(Mathematics), Multivariate analysis, Decomposition, Approximation(Mathematics), Interpolation, Trade off analysis, Decision making

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE