This paper axiomatizes an intertemporal version of multiple-ptiors utility. A central axiom is dynamic consistency, which leads to a recursive structure for utility, to 'rectangular' sets of priors and to prior-by-prior Bayesian updating as the updating rule for such sets of priors. It is argued that dynamic consitency is intuitive in a wide range of situations and that the model is consistent with a rich set of possibilities for dynamic behavior under ambiguity.
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