Rationalizability is a central concept in game theory. Since there may be many rationalizable strategies, applications commonly use refinements to obtain sharp predictions. In an important paper, Weinstein and Yildiz (2007) show that no refinement is robust to perturbations of high-order...

The existence of a common prior is a property of the state space used to model the players' asymmetric information. We show that this property is not just a technical artifact of the model, but that it is immanent to the players' beliefs. To this end, we devise a condition, phrased solely in...

We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are...