We compare behavior in Weber's (2001) Dirty Faces Game with that in a modified version. The modifified version is designed to reduce the level of strategic uncertainty by ruling out some equilibria in weakly dominated strategies. We find that in the three-player version of the game reduced...

Weber (2001) uses the Dirty Faces Game to examine the depth of iterated rationality. Weber does not consider equilibria that contain weakly dominated actions. So he implicitly assumes that it is common knowledge that no one ever uses weakly dominated actions. We show that allowing for equilibria...