Abstract
In Ellsberg paradox, decision makers that are partially informed about the actual probability distribution violate the expected utility paradigm. This paper develops a theory of decision making with a partially specified probability. The paper takes an axiomatic approach using Anscombe-Aumann's (1963) setting, and is based on a concave integral for capacities (see Lehrer, 2005). The partially-specified decision making is then carried on to games in order to introduce partially-specified equilibrium.
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