This paper studies uniqueness of equilibrium in symmetric 2 x 2 bayesian games.  It shows that if signals are highly but not perfectly dependent then players play their risk-dominant actions for all but a vanishing set of signal realizations.  In contrast to the global games literature, noise...

This paper defines regular and weakly regular equilibria for monotone Bayesian games with one-dimensional actions and types.  It proves an index theorem and provides applications to uniqueness of equilibrium.  It also provides analyses of stability with respect to perturbations and dynamic...