This paper proposes a model of the decision-maker’s confidence in his probability judgements, in terms of an implausibility measure – a real-valued function on the set of probability functions. A decision rule is axiomatised according to which the decision-maker evaluates acts using sets of...

A theory of incomplete preferences under uncertainty is proposed, according to which a decision maker’s preferences are indeterminate if and only if her confidence in the relevant beliefs does not match up to the stakes involved in the decision. The author uses the model of confidence in...

An ambiguous statistical experiment is a set of joint probability distributions over states and signals. This note compares ambiguous experiments from the point of view of an ambiguity averse decision maker and extends the Blackwell (1951, 1953) ordering to this setting.

One apparent reason for deferring a decision – abstaining from choosing, leaving the decision open to be taken by someone else, one’s later self, or nature – is for lack of sufficient confidence in the relevant beliefs. This paper develops an axiomatic theory of decision in situations...

Author's abstract: A theory of when to defer a decision is proposed, according to which a decision maker defers if and only if his confidence in the relevant beliefs does not match up to the stakes involved in the decision. It uses the model of confidence in beliefs and the notion of stakes...

Author's abstract. In a situation of decision under uncertainty, a decision maker wishes to choose according to the maxmin expected utility rule, and he can observe the preferences of a set of experts who all share his utility function and all use the maxmin EU rule. This paper considers rules...