EconPapers    
Economics at your fingertips  
 

Equivalences and Continuity in Multivalent Preference Structures

Peter H. Farquhar and Peter C. Fishburn
Additional contact information
Peter H. Farquhar: University of California, Davis, California
Peter C. Fishburn: Bell Telephone Laboratories, Inc., Murray Hill, New Jersey

Operations Research, 1981, vol. 29, issue 2, 282-293

Abstract: In assessing multiattribute utility functions, the valence approach partitions the elements of each attribute into equivalence classes. Since attribute interactions are reflected by these equivalence classes, the functional forms of the utility representations are kept simple. This paper establishes equivalence relations for multivalent forms of additive independence, utility independence, and fractional independence, which lead to several new representation theorems. We show also that some simple partitions are not possible multivalent structures when the utility function is continuous. These results should simplify the assessment of utility functions when the attributes are interdependent.

Date: 1981
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.29.2.282 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:29:y:1981:i:2:p:282-293

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().

 
Page updated 2025-03-19
Handle: RePEc:inm:oropre:v:29:y:1981:i:2:p:282-293