Dynamic Cheap Talk without Feedback
Theoretical Economics
2026-04-30 v1
Abstract
We study a dynamic sender-receiver game in which the sender observes a state evolving according to a Markov chain but does not observe the receiver's action. Despite the absence of feedback, dynamic interaction partially restores commitment. We show that any equilibrium payoff of a persuasion model with partial commitment, where the sender can deviate to signaling policies that preserve the marginal distribution over messages, can be achieved as a uniform equilibrium payoff in the dynamic game. Moreover, any convex combination of such payoffs across message distributions can also be sustained. When the sender's payoff is state-independent, she achieves the Bayesian persuasion payoff.
Keywords
Cite
@article{arxiv.2604.26443,
title = {Dynamic Cheap Talk without Feedback},
author = {Atulya Jain},
journal= {arXiv preprint arXiv:2604.26443},
year = {2026}
}