Sequential Bayesian persuasion

Wenhao Wu

Journal of Economic Theory, 2023, vol. 214, issue C

Abstract: I study a Bayesian persuasion model in which multiple senders sequentially persuade one receiver, after observing signal structures of prior senders and their realizations. I develop a geometric method, recursive concavification, to characterize the Perfect Bayesian Equilibrium paths. I prove the existence of the silent equilibrium, where at most one sender provides nontrivial information. I also show that when there are only two senders and the receiver has a finite action space, it is generically without loss to focus on silent equilibrium. Finally, I show that if there are two senders who have zero-sum payoffs, the truth-telling signal structure is always supported in equilibrium.

Keywords: Bayesian persuasion; Multiple senders; Perfect Bayesian equilibrium; Communication (search for similar items in EconPapers)
JEL-codes: D82 D83 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:214:y:2023:i:c:s002205312300159x

DOI: 10.1016/j.jet.2023.105763

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