On the difference between the cardinalities of measurable value functions and von Neumann-Morgenstern utility functions
成果类型：
Article
署名作者：
Deichtmann, JM; Sainfort, F
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.45.2.307
发表日期：
1997
页码：
307-308
关键词：
摘要：
Dyer and Sarin (1979) proposed an important generalization of the additive-multiplicative decomposition theorem for von; Neumann-Morgenstern (vNM) utility functions to measurable value functions based on the cardinality property of measurable value functions. However, because of a difference between the cardinality of measurable Value functions and the cardinality of vNM utility functions, an additional technical condition is needed, and presented here, for the decomposition theorem to hold.