 The lottery-like options over which the agent has preferences are a rich set of acts that effectively amount to all the possible assignments of outcomes to states of the world. That is, acts are functions from the state space to the outcome space, and the agent’s preference ordering is taken to be defined over all such possible functions. Some of these acts will look quite sensible: consider the act that assigns to the event “it rains” the outcome “miserable wet stroll” and assigns to the event “it does not rain” the outcome “very comfortable stroll”. This is apparently the act of going for a stroll without one’s umbrella. Other Savage acts will not look quite so sensible, such as the constant act that assigns to both “it rains” and “it does not rain” the same outcome “miserable wet stroll”. (Note that the constant acts provide a way of including sure outcomes within the preference ordering.) The problem with this act (and many others) is that it does not correspond to anything that an agent could even in principle choose to do or  perform.[5]