A Nash equilibrium is an optimal strategy for each player under the assumption that others play according to their respective Nash strategies, but it provides no guarantees in the presence of irrational players or coalitions of colluding players. In fact, no such guarantees exist in general....

In this work we introduce the notion of partial exposure, in which the players of a simultaneous-move Bayesian game are exposed to the realized types and chosen actions of a subset of the other players. We show that in any large simultaneous-move game, each player has very little regret even...

We propose to strengthen Popper's notion of falsifiability by adding the requirement that when an observation is inconsistent with a theory, there must be a "short proof" of this inconsistency. We model the concept of a short proof using tools from computational complexity, and provide some...

In most implementation frameworks, agents care only about the outcome and not at all about the way in which it was obtained. Additionally, typical mechanisms for full implementation involve the complete revelation of all private information to the planner. In this paper I consider the problem of...

Two players choose whether to cooperate on a project. Each of them is endowed with some evidence, and if both possess a sufficient amount then cooperation is profitable. In order to facilitate cooperation the players reveal evidence to one another. However, some players are concerned about...