Mean-preserving contractions are critical for studying Bayesian models of information design. We introduce the class of bi-pooling policies, and the class of bi-pooling distributions as their induced distributions over posteriors. We show that every extreme point in the set of all...

We study a duopoly where the two price setting firms have symmetric information. The firms produce substitute goods with a state dependent common value. The information that is available to both firms about the unknown state of nature is also available to the consumers, who also have access to...

We study a monopolist that uses the following scheme to gauge market traction for its common-value, excludible product. The monopolist offers its product at a given price, and each potential consumer decides whether to buy it. The contributions are collected. The product is supplied only if the...