-trivial unawareness among several individuals, and which satisfies strong properties of knowledge as well as all the desiderata on …The standard state-spaces of asymmetric information preclude non-trivial forms of unawareness (Modica and Rustichini … unawareness proposed this far in the literature. …

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 … restricted from higher to lower awareness levels. We use our unawareness belief structure to show that the common prior …

Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2012), 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 awareness levels. We apply Bayesian games with unawareness to …

This study discusses the convergence to a solution in simultaneous-move games with unawareness. Since games with … unawareness assume players' unawareness of actions, in some plays, players might revise their subjective views when they observe … concept, to simultaneous-move games with unawareness, and shows that the play of myopic players, who best respond to the …

Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2012), 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 awareness levels. We apply Bayesian games with unawareness to …

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 awareness levels. We apply Bayesian games with unawareness to …

Formal Interactive Epistemology deals with the logic of knowledge and belief when there is more than one agent or … "player." One is interested not only in each person's knowledge and beliefs about substantive matters, but also in his … knowledge and beliefs about the others' knowledge and beliefs. This paper examines two parallel approaches to the subject. The …

Suppose we replace "knowledge" by "belief with probability p" in standard definitions of common knowledge. Very … different notions arise depending on the exact definition of common knowledge used in the substitution. This paper demonstrates …