Working Papers, University of California, Department of Economics 10,5
I develop awareness-dependent subjective expected utility by taking unawareness structures introduced in Heifetz, Meier, and Schipper (2006, 2008, 2009) as primitives in the Anscombe-Aumann approach to subjective expected utility. I observe that a decision maker is unaware of an event if and only if her choices reveal that the event is null and the negation of the event is null. Moreover, I characterize impersonal expected utility that is behaviorally indistinguishable from awareness-dependent subject expected utility and assigns probability zero to some subsets of states that are not necessarily events. I discuss in what sense impersonal expected utility can not represent unawareness.
unawareness awareness unforeseen contingencies null zero probability subjective expected utility Anscombe-Aumann small worlds extensionality of acts event exchangeability