An agent faces a decision under uncertainty with the following structure. There is a set A of “acts”; each will yield an unknown real-valued payoff. Linear combinations of acts are feasible; thus, A is a vector space. But there is no pre-specified set of states of nature. Instead, there is a...

In many decisions under uncertainty, there are constraints on both the available information and the feasible actions. The agent can only make certain observations of the state space, and she cannot make them with perfect accuracy — she has imperfect perception. Likewise, she can only perform...

Let X be a connected metric space, let N be the set of natural numbers, and let be a preference order defined on a suitable subset of X^N. I characterize when has a Cesàro average utility representation. This means that there is a continuous function u from X into the real numbers, such that...