A sender chooses ex ante how information will be disclosed ex post. A receiver obtains public information and information disclosed by the sender. Then he takes one of two actions. The sender wishes to maximize the probability that the receiver takes the desired action. I show that the sender...

A sender chooses ex ante how her information will be disclosed to a privately informed receiver who then takes one of two actions. The sender wishes to maximize the probability that the receiver takes the desired action. The sender faces an ex ante quantity-quality tradeoff: sending positive...

Growing evidence suggests that many social and economic networks are scale free in that their degree distribution has a power-law tail. A common explanation for this phenomenon is a random network formation process with preferential attachment. For a general version of such a process, we develop...

In persuasion problems where the receiver's action is one-dimensional and his utility is single-peaked, optimal signals are characterized by duality, based on a first-order approach to the receiver's problem. A signal is optimal if and only if the induced joint distribution over states and...

A sender chooses ex ante how her information will be disclosed to a privately informed receiver who then takes one of two actions. The sender wishes to maximize the probability that the receiver takes the desired action. The sender faces an ex ante quantity-quality tradeoff: sending positive...

An uninformed sender designs a mechanism that discloses information about her type to a privately informed receiver, who then decides whether to act. I impose a single-crossing assumption, so that the receiver with a higher type is more willing to act. Using a linear programming approach, I...

We present a unified duality approach to Bayesian persuasion. The optimal dual variable, interpreted as a price function on the state space, is shown to be a supergradient of the concave closure of the objective function at the prior belief. Strong duality holds when the objective function is...

In persuasion problems where the receiver’s action is one-dimensional and his utility is single-peaked, optimal signals are characterized by duality, based on a first-order approach to the receiver’s problem. A signal is optimal iff the induced joint distribution over states and actions is...