Before revision:  We focus on truth-leaning equilibria  , where the sender discloses truthfully when doing so is optimal, and the receiver does not discount off-path messages. We show that, given any disclosure rule, all equilibria are payoff equivalent and characterize the unique equilibrium valuefunction of the sender. We also propose a method to construct equilibria for a broad class of games. Applying these results, we study left-censored disclosure, where evidence is a sequence of signals, and the sender can truncate evidence from the left.
After revision:  We focus on truth-leaning equilibria , where the sender discloses truthfully when doing so is optimal, and the receiver does not discount off-path disclosure at face value.