I thought one usually took the VNM axioms as desiderata and derived that one must have a utility function, rather than the other way round.
This is true, but I think it’s easier to get the picture if you use the full axioms as your point of departure. Iunno.
I thought one usually took the VNM axioms as desiderata and derived that one must have a utility function, rather than the other way round.
This is true, but I think it’s easier to get the picture if you use the full axioms as your point of departure. Iunno.