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Revealed Bayesian Persuasion

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  • Jeffrey Mensch

Abstract

When is random choice generated by a decision maker (DM) who is Bayesian-persuaded by a sender? In this paper, I consider a DM whose state-dependent preferences are known to an analyst, yet chooses stochastically as a function of the state. I provide necessary and sufficient conditions for the dataset to be consistent with the DM being Bayesian persuaded by an unobserved sender who generates a distribution of signals to ex-ante optimize the sender's expected payoff.

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  • Jeffrey Mensch, 2025. "Revealed Bayesian Persuasion," Papers 2504.01829, arXiv.org.
    • Handle: RePEc:arx:papers:2504.01829
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    References listed on IDEAS

    as
    1. Andrew Caplin & Daniel Martin, 2015. "A Testable Theory of Imperfect Perception," Economic Journal, Royal Economic Society, vol. 125(582), pages 184-202, February.
    2. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    3. Ro'ee Levy, 2021. "Social Media, News Consumption, and Polarization: Evidence from a Field Experiment," American Economic Review, American Economic Association, vol. 111(3), pages 831-870, March.
    4. repec:hal:pseose:halshs-01155313 is not listed on IDEAS
    5. Alexander M. Jakobsen, 2021. "An Axiomatic Model of Persuasion," Econometrica, Econometric Society, vol. 89(5), pages 2081-2116, September.
    6. Matthew Gentzkow & Emir Kamenica, 2016. "A Rothschild-Stiglitz Approach to Bayesian Persuasion," American Economic Review, American Economic Association, vol. 106(5), pages 597-601, May.
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