Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2013a), we develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower...

This paper extends Savage's subjective approach to probability and utility from decision problems under exogenous uncertainty to choice in strategic environments. Interactive uncertainty is modeled both explicitly, using hierarchies of preference relations, the analogue of beliefs hierarchies,...

The properties of information, including "information uncertainty", can be understood only Bayesianly. Common formulations that define information uncertainty in terms of just statistical "precision" (i.e. sampling variance), or any one estimator characteristic (e.g. bias), are inadequate for...

In this paper, we analyze the class of all smooth separating sequential equilibria in a continuous-time bargaining model with two-sided uncertainty. Trade between players occurs whenever there is surplus to be shared and delay is used to signal their valuations. When the buyer and the seller...

This paper derives a representation of preferences for a choice theory with vague environments; vague in the sense that the agent does not know the precise lotteries over outcomes conditional on states. Instead, he knows only a possible set of these lotteries for each state. Thus, this paper's...

When should retailers offer promotions with uncertain rewards? The current research investigates this question and finds there are instances when uncertain incentives may seem more attractive than their expected value. For example, a lottery between small and large rewards may even be as...