To answer the question in the title we vary agentsʼ beliefs against the background of a fixed knowledge space, that is, a state space with a partition for each agent. Beliefs are the posterior probabilities of agents, which we call type profiles. We then ask what is the topological size of the...

We study communication in ambiguous environments. Agents communicate individual decisions sequentially. Based on the signal that an agent receives, she revises her private information. When signals are ambiguous, we show that agents may agree to disagree forever. Although the learning process...

In this paper, we develop a bargaining model where parties (or their intermediaries) make errors when reporting their bid. We characterize the Nash equilibria of the game and show that there is a unique equilibrium where trade takes place. This trade equilibrium is shown to converge to the Nash...

The common prior assumption is pervasive in game-theoretic models with incomplete information. This paper investigates experimentally the importance of inducing a correct common prior in a two-person signaling game. Equilibrium selection arguments predict that different equilibria may be...

We report on an experiment exploring whether and how players may learn to use a random device to coordinate on a correlated equilibrium that Pareto dominates the Nash equilibria of a two-player Battle of the Sexes game. By contrast with other studies exploring recommendations and correlated...