Vector valued utility functions violate the VNM axiom of continuity, but who cares.
Surreal valued ones do too. Violating the VNM axiom of continuity is the whole point of the exercise. We don’t want a secular value to be worth any non-zero probability of a sacred value, but we do want it to be better than nothing.
Surreal valued ones do too. Violating the VNM axiom of continuity is the whole point of the exercise. We don’t want a secular value to be worth any non-zero probability of a sacred value, but we do want it to be better than nothing.