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