We show that the value of a zero-sum Bayesian game is a Lipschitz continuous function of the players' common prior belief, with respect to the total variation metric (that induces the topology of setwise convergence on beliefs). This is unlike the case of general Bayesian games, where lower...

Centralized sanctioning institutions are of utmost importance for overcoming free-riding tendencies and enforcing outcomes that maximize group welfare in social dilemma situations. However, little is known about how such institutions come into existence. In this paper we investigate, both...

We show that when firms have incomplete information about the market demand and their costs, a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. In fact, we are able to construct surprisingly simple and robust examples of duopolies with these features. However, we...

We establish uniform continuity of the value for zero-sum games with differential information, when the distance between changing information fields of each player is measured by the Boylan (1971) pseudo-metric. We also show that the optimal strategy correspondence is upper semi-continuous when...