Accession Number : ADA029655


Title :   Approximations of Two-Attribute Utility Functions


Descriptive Note : Interim rept.


Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK COLL OF BUSINESS ADMINISTRATION


Personal Author(s) : Fishburn, Peter C.


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA029655


Report Date : SEP 1976


Pagination or Media Count : 61


Abstract : This report considers the assessment of von Neumann-Morgenstern utility functions u defined on two attributes from the viewpoint of mathematical approximation theory. It focuses on approximations v of u that can be written as v(x,y) = f(1)(x)g(1)(y) +...+ f(m)(x)g(m)(y) where the f(i) and/or g(i) are based on single-attribute conditional utility functions. The paper does not rely on independence axioms that enable u(x,y) to be expressed in simplified forms when they are valid.


Descriptors :   *APPROXIMATION(MATHEMATICS) , *DECISION THEORY , *SPECIAL FUNCTIONS(MATHEMATICS) , *SET THEORY , TRANSFORMATIONS(MATHEMATICS)


Subject Categories : THEORETICAL MATHEMATICS


Distribution Statement : APPROVED FOR PUBLIC RELEASE