We examine repeated Cournot oligopolies when there is uncertainty about the number of players. Already in the static game, such uncertainty can imply outputs above Nash. For the repeated game, we argue that the uncertainty may lead to a novel strategy, based on a notion of limited depth of...

In contexts in which players have no priors, we analyze a learning process based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are...

We use an experiment to explore how subjects learn to play against computers which are programmed to follow one of a number of standard learning algorithms. The learning theories are (unbeknown to subjects) a best response process, fictitious play, imitation, reinforcement learning, and a trial...

This article examines the impact of customer reward programs on the competitive outcome in duopolistic markets. We argue that loyalty discounts for repeat customers constitute a commitment device beneficial to suppliers rather than customers. Analyzing a two-period Bertrand model we show that...

This paper characterizes equilibrium outcomes of extensive form games with incomplete information in which players can sign renegotiable contracts with third-parties. Our aim is to understand the extent to which third-party contracts can be used as commitment devices when it is impossible to...