How should an agent (the sender) observing multi-dimensional data (the state vector) persuade another agent to take the desired action? We show that it is always optimal for the sender to perform a (non-linear) dimension reduction by projecting the state vector onto a lower-dimensional object...

We study the general problem of Bayesian persuasion (optimal information design) with continuous actions and continuous state space in arbitrary dimensions. First, we show that with a finite signal space, the optimal information design is always given by a partition. Second, we take the limit of...

We develop a dynamic model of corporate investment and financing decisions in which corporate insiders have superior information about the firm's growth prospects. We show that firms with positive private information can credibly signal their type to outside investors using the timing of...

This paper identifies simple conditions for monotone comparative statics of a unique equilibrium in the Akerlof-Wilson model. Separate conditions apply to trade volume and price. Trade volume increases when supply becomes both stronger and more elastic. In contrast, price decreases when supply...

We study survival, price impact and portfolio impact in heterogeneous economies. We show that, under the equilibrium risk-neutral measure, long-run price impact is in fact equivalent to survival, whereas longrun portfolio impact is equivalent to survival under an agent-specific, wealth-forward...

Our objective is to understand the trading strategy that would allow an investor to take advantage of quot;excessivequot; stock price volatility and quot;sentimentquot; fluctuations. We construct a general equilibrium model of sentiment. In it, there are two classes of agents and stock prices...

We develop a principal-agent model based on a sequential game played by a representative investor and a fund manager in an asymmetric information framework. The model shows that investors' perceptions of the fund market play the key role in the fund's fee-setting mechanism. The managers' true...