Durable Cheap Talk Equilibria

We consider a cheap-talk game with one sender and one receiver. If the receiver does not commit to listen to only one message, the equilibrium refinements due to Farrell [5], Grossman and Perry [7] and Matthews, Okuno- Fujiwara and Postlewaite [11] are no longer applicable. We discuss different notions of durability and sequential credibility when a message can later be followed by more messages, and both parties know this.