期刊名称：Discussion Paper Series / Department of Economics, New York University
出版年度：2005
卷号：1
出版社：New York University
摘要：We study the properties associated to various de.nitions of ambiguity ([8], [9], [18] and
[23]) in the context of Maximin Expected Utility (MEU). We show that each de.nition
of unambiguous events produces certain restrictions on the set of priors, and completely
characterize each de.nition in terms of the properties it imposes on the MEU functional.
We apply our results to two open problems. First, in the context of MEU, we show
the existence of a fundamental incompatibility between the axiom of .Small unambigu-
ous event continuity" ([8]) and the notions of unambiguous event due to Zhang [23] and
Epstein-Zhang [8]. Second, we show that, in the context of MEU, the classes of unam-
biguous events according to either Zhang [23] or Epstein-Zhang [8] are always -systems.
Finally, we reconsider the various de.nitions in light of our .ndings, and identify some
new objects (Z-.lters and EZ-.lters) corresponding to properties which, while neglected
in the current literature, seem relevant to us.
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