Accession Number : AD0752485

Title :   Von Neumann-Morgenstern Utility Functions on Two Attributes.

Descriptive Note : Technical rept.,

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

Personal Author(s) : Fishburn,Peter C.

Report Date : OCT 1972

Pagination or Media Count : 26

Abstract : Five special forms for a von Neumann-Morgenstern utility function u on a product set A x X are examined. Each expresses u as a combination of functions defined on the separate factors A and X. The five forms include the additive and multiplicative forms, u = u(1) + u(2) and u = f(1)f(2) respectively, and the additive form with independent product expressed by u = u(1) + u(2) + f(1)f(2). Necessary and sufficient preference conditions are identified for each form along with admissible transformations on the single-argument functions. (Author)

Descriptors :   (*DECISION THEORY, FUNCTIONS(MATHEMATICS)), GAME THEORY, TRANSFORMATIONS(MATHEMATICS), PROBABILITY DENSITY FUNCTIONS, SET THEORY, MATHEMATICAL MODELS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE