The stochastic inequality test is an exact non-parametric test that can be used to infer whether values in one random sample tend to be higher than in another. In addition it can be used to derive a confidence interval around an intuitive measure of effect size that is readily interpretable...

We consider the problem of pricing a single object when the seller has only minimal information about the true valuation of the buyer. Specifically, the seller only knows the support of the possible valuations and has no further distributional information.The seller is solving this choice...

This paper introduces a new solution concept, a minimax regret equilibrium, which allows for the possibility that players are uncertain about the rationality and conjectures of their opponents. We provide several applications of our concept. In particular, we consider price-setting environments...

We present an exact test for whether two random variables that have known bounds on their support are negatively correlated. The alternative hypothesis is that they are not negatively correlated. No assumptions are made on the underlying distributions. We show by example that the Spearman rank...

We show how to bid in first-price auctions when a bidder knows her own value but not how others will bid. To do this we introduce a novel and general method for how to make choices in strategic settings without assuming common knowledge or equilibrium behavior. Accordingly, first eliminate...

We introduce a solution concept for extensive-form games of incomplete information in which players are allowed to entertain multiple beliefs about what they do not know in the game. Players make dynamically consistent choices by looking for compromises that yield a good performance under each...