期刊名称：COWLES Foundation Discussion Paper / Cowles Foundation for Research in Economics
出版年度：2001
卷号：2001
期号：1
出版社：Yale University
摘要：We study axiomatically the problem of obtaining an expected utility representation for a potentially incomplete preference relation over lotteries by means of a set of von Neumann-Morgenstern utility functions. It is shown that, when the prize space is a compact metric space, a preference relation admits such a multi-utility representation provided that it satisfies the standard axioms of expected utility theory. Moreover, the representing set of utilities is unique in a well-defined sense.
