  We consider a sender-receiver game with an outside option for the sender.
After the cheap talk phase, the receiver makes a proposal to the sender, which
the latter can reject. We study situations in which the sender's approval is
crucial to the receiver.We show that a partitional, (perfect Bayesian Nash)
equilibrium exists if the sender has only two types or if the receiver's
preferences over decisions do not depend on the type of the sender as long as
the latter participates. The result does not extend: we construct a
counter-example (with three types for the sender and type-dependent affine
utility functions) in which there is no mixed equilibrium. In the three type
case, we provide a full characterization of (possibly mediated) equilibria.
