We study a communication game between an informed sender and an uninformed receiver with repeated interactions and voluntary transfers. Transfers motivate the receiver’s decision-making and signal the sender’s information. Although full separation can always be supported in equilibrium,...

We study a communication game between an informed sender and an uninformed receiver with repeated interactions and voluntary transfers. Transfers motivate the receiver's decision‐making and signal the sender's information. Although full separation can always be supported in equilibrium,...

We enrich a cheap-talk game between an informed sender and an uninformed receiver by adding repeated interactions and voluntary transfer payments. Transfers play two roles here: they motivate the receiver's decision-making and signal the sender's information. Although full separation can always...

There are two common ways for a principal to influence the decision making of an agent. One is to manipulate the agent's information (persuasion problem). Another is to limit the agent's decisions (delegation problem). We show that, under general assumptions, these two problems are equivalent;...

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...