We consider a Bayesian decision problem in which an agent must draw inferences about multiple unobserved variables. This problem appears in different economic settings, for instance in the theory of agency. Assume that both observed and unobserved variables are ordered. We say that the inference...

Fishburn (1970) showed that in an infinite society Arrow's axioms for a preference aggregation rule do not necessarily imply a dictator. Kirman and Sondermann (1972) showed that, in this case, nondictatorial rules imply an invisible dictator that, whenever the agent set is an atomless finite...