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...

Governments, central banks, and private organizations frequently face the challenge of convincing their audience to take a specific action. One key choice is whether to send a public message that can coordinate the audience's actions or to rely instead on private messages that may differ across...

We consider a Bayesian persuasion problem where a sender's utility depends only on the expected state. We show that upper censorship that pools the states above a cutoff and reveals the states below the cutoff is optimal for all prior distributions of the state if and only if the sender's...

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...

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...

We develop a model of data pricing and targeted advertising. A monopolistic data provider determines the price to access "cookies," i.e., informative signals about individual consumers' preferences. The demand for information is generated by advertisers who seek to tailor their spending to the...

We analyze data pricing and targeted advertising. Advertisers seek to tailor their spending to the value of each consumer. A monopolistic data provider sells cookies. informative signals about individual consumers' preferences. We characterize the set of consumers targeted by the advertisers and...