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the equilibrium refinements due to Farrell , Grossman and Perry  and Matthews, Okuno- Fujiwara and Postlewaite  are no longer applicable.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.
Sandeep Baliga, Tomas Sjostrom
Baliga, Sandeep, and Tomas Sjostrom. 2006. Durable Cheap Talk Equilibria. 15