The canonical Bayesian persuasion setting studies a model where an informed agent, the Sender, can partially share his information with an uninformed agent, the Receiver. The Receiver's utility is a function of the state of nature and the Receiver's action while the Sender's is only a function...

We consider a cheap-talk game a la Crawford and Sobel (1982), where the sender's bias parameter is only “approximately common knowledge” in the sense of (a variant of) Monderer and Samet (1989). Compared to the standard case where the structure of the bias parameter is common knowledge,...