We present a new solution concept for strategic games called comprehensive rationalizability that embodies "common … cautious belief in rationality" based on a sound epistemic characterization in a universal type space. It refines … rationalizability, but it neither refines nor is refined by iterated admissibility. Nevertheless, it coincides with iterated …

closedness under rational behavior and thus to strategic stability and to the best reply property and thus to rationalizability. …

Epistemic game theory formalizes assumptions about rationality and mutual beliefs in a formal language, then studies … of players’ beliefs and their rationality; however, the epistemic analysis may show limitations in these intuitions … their behavioral implications in games. Specifically, it asks: what do different notions of rationality and different …

-k thinking in the associated normal-form, extensive-form rationalizability, ∆-rationalizability, iterated admissibility, and …