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Sequential Bayesian persuasion

Author

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  • Wu, Wenhao

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.

Suggested Citation

  • Wu, Wenhao, 2023. "Sequential Bayesian persuasion," Journal of Economic Theory, Elsevier, vol. 214(C).
    • Handle: RePEc:eee:jetheo:v:214:y:2023:i:c:s002205312300159x
    DOI: 10.1016/j.jet.2023.105763
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    References listed on IDEAS

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    Cited by:

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    More about this item

    Keywords

    Bayesian persuasion; Multiple senders; Perfect Bayesian equilibrium; Communication;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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