Rationality, strategic uncertainty, and belief diversity in non-cooperative games

I investigate the existence of epistemic models of complete information games that satisfy the following properties: players do not rule out their opponent's use of rational ex ante strategies for deriving their choices; they do not rule out, ex ante, that they can come to know the action profile that is ultimately played; and they do not rule out strategic uncertainty. In this paper I show that for a large class of games there are no epistemic models that satisfy these three properties.