期刊
JOURNAL OF ECONOMIC THEORY
卷 115, 期 1, 页码 118-133出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-0531(03)00166-2
关键词
incomplete preference relations; expected utility
类别
We study 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. (C) 2003 Elsevier Science (USA). All rights reserved.
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