We extend Armstrong's result on exclusion in multi-dimensional screening models in two key ways, providing support for the view that this result is generic and applicable to many different markets. First, we relax the strong technical assumptions he imposed on preferences and consumer types....

We extend Armstrong’s result on exclusion in multi-dimensional screening models in two key ways, providing support for the view that this result holds true in a large class of models and is applicable to many different markets. First, we relax the strong technical assumptions he imposed on...

We prove existence and purification results for equilibria in which players choose extreme points of their feasible actions in a class of strategic environments exhibiting a product structure. We assume finite-dimensional action sets and allow for infinite-dimensional externalities. Applied to...

We develop an approach to providing epistemic conditions for admissible behavior in games. Instead of using lexicographic beliefs to capture infinitely less likely conjectures, we postulate that players use tie-breaking sets to help decide among strategies that are outcome-equivalent given their...