 The treatment of genuinely incomparable options (those surviving the above admissibility test and yet are not such that the agent is indifferent) is where the real controversies begin. See Bradley (2017) for extensive discussion of the various ways to proceed. A consideration that is often appealed to in order to discriminate between incomparable options is caution. The Maxmin-EU rule, for instance, recommends picking the action with greatest minimum expected utility (see Gilboa and Schmeidler 1989; Walley 1991). The rule is simple to use, but arguably much too cautious, paying no attention at all to the full spread of expected utilities. The \(\alpha\)-Maxmin rule, by contrast, recommends taking the action with the greatest \(\alpha\)-weighted sum of the minimum and maximum expected utilities associated with it. The relative weights for the minimum and maximum expected utilities can be thought of as reflecting either the decision maker’s pessimism in the face of uncertainty or else her degree of caution (see Binmore 2009).