We consider collective decisions under uncertainty, when agents have generalized Hurwicz preferences, a broad class allowing many different ambiguity attitudes, including subjective expected utility preferences. We consider sequences of acts that are "almost-objectively uncertain" in the sense...

Every subjective state space with sufficient (e.g., Euclidean) structure contains almost-objective events that approximate, and in the limit attain, the standard properties of objectively uncertain events for all individuals with event-smooth betting preferences - whether they are expected...