Recursive multiple-priors

This paper axiomatizes an intertemporal version of multiple-priors 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 consistency 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.