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:

1972-10-01

Pagination or Media Count:

26.0

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 u1 u2 and u f1f2 respectively, and the additive form with independent product expressed by u u1 u2 f1f2. 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