Subjective Learning, Second Version

We study an individual who faces a dynamic decision problem in which the process of information arrival is unobserved by the analyst. We derive a sequence of representations of preferences over menus of acts that capture the individual's uncertainty about his future beliefs. Using the most general representation, we characterize a notion of "more preference for flexibility" via a subjective analogue of Blackwell's (1951, 1953) comparisons of experiments. A more refined representation allows us to compare individuals who expect to learn differently, even if they do not agree on their prior beliefs. The class of information structures that can support such a representation generalizes the notion of a partition of the state space. We apply the model to study an individual who anticipates gradual resolution of uncertainty over time. Both the filtration (the timing of information arrival with the sequence of partitions it induces) and prior beliefs are uniquely identified.