How does private information get incorporated into option prices? To study this question, I develop a non-linear, noisy rational expectations equilibrium model with asymmetric information and a full menu of call and put options available for trading. The model allows for an arbitrary...

We study the general problem of information design for a policymaker—a central bank—that communicates its private information (the ``state") to the public. We show that it is optimal for the policymaker to partition the state space into a finite number of ``clusters” and to communicate to...

We solve for the equilibrium dynamics of information sharing in a large population. Each agent is endowed with signals regarding the likely outcome of a random variable of common concern. Individuals choose the effort with which they search for others from whom they can gather additional...