Abstract
The purpose of the paper is to describe the decompositions of multiattribute cardinal utility functions which result from assumptions based on “interpolation independence.” The decompositions involve only single attribute marginal utility functions, together with constants, and are stronger than other decompositions of this type. Proofs are not given but may be obtained from references.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bell, D. E., “Conditional Utility Functions,” Cambridge University Engineering Department Working Paper, June 1977.
—, Bell, D. E. “Multiattribute Utility Functions: Decompositions Using Interpolation Independence,” Manuscript, August 1977.
— Bell, D. E., “A Utility Function for Time Streams Having Inter-period Dependencies,” Operations Research, 25, 448–458, 1977.
Farquhar, P. H., “A Fractional Hypercube Decomposition Theorem for Multiattribute Utility Functions,” Operations Research, 23, 941–967, 1975.
Fishburn, P. C, “Bernouillian Utilities for Multiple Factor Situations” in Multiple Criteria Decision Making, J. L. Cochrane and M. Zeleny (Eds.), University of South Carolina Press, Columbia, S.C., 47–61, 1973.
— Fishburn, P. C, “Approximations of Two-Attribute Utility Functions,” Mathematics of Operations Research, 2, 30–44, 1977.
Fishburn, P. C, and R. L. Keeney, “Generalized Utility Independence and Some Implications,” Operations Research, 928–940, 1975.
Keeney, R. L., “Multiplicative Utility Functions,” Operations Research, 22, 22–34, 1974.
Kirkwood, C. W., “Parametrically Dependent Preferences for Multi-attributed Consequences,” Operations Research, 24, 92–103, 1976.
Meyer, R. F., “State Dependent Time Preference,” Conflicting Objectives, D. E. Bell, R. L. Keeney, H. Raiffa (Eds.), to be published by John Wiley & Sons, Ltd., London, 1977.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bell, D.E. (1978). Interpolation Independence. In: Zionts, S. (eds) Multiple Criteria Problem Solving. Lecture Notes in Economics and Mathematical Systems, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46368-6_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-46368-6_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08661-1
Online ISBN: 978-3-642-46368-6
eBook Packages: Springer Book Archive