 The next axiom is arguably not a rationality requirement, but one of Savage’s “structural axioms” (Suppes 2002). An agent needs to have some variation in preference for it to be possible to read off her comparative beliefs from her preferences; and, more generally, for it to be possible to represent her as maximising expected utility. To this end, the next axiom simply requires that there be some alternatives between which the agent is not indifferent: