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Dynamic Non-Bayesian Persuasion

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  • Masanori Kobayashi

Abstract

If a sender in a persuasion game can use a sequence of experiments rather than a single experiment, does this change the sender's value? We show, within a large class of non-Bayesian updating rules, divisibility, introduced in Cripps (2018), exactly characterizes the receiver's updating rules under which the sender is indifferent between static and dynamic persuasion in any environment. Consequently, restricting attention to static persuasion is without loss precisely under divisible updating rules.

Suggested Citation

  • Masanori Kobayashi, 2025. "Dynamic Non-Bayesian Persuasion," Papers 2508.12328, arXiv.org, revised Jun 2026.
    • Handle: RePEc:arx:papers:2508.12328
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    References listed on IDEAS

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    1. David M. Grether, 1980. "Bayes Rule as a Descriptive Model: The Representativeness Heuristic," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 537-557.
    2. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    3. Yeon-Koo Che & Kyungmin Kim & Konrad Mierendorff, 2023. "Keeping the Listener Engaged: A Dynamic Model of Bayesian Persuasion," Journal of Political Economy, University of Chicago Press, vol. 131(7), pages 1797-1844.
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    Cited by:

    1. Frank Yang & Kai Hao Yang, 2026. "Stochastic Optimization and Coupling," Papers 2603.11448, arXiv.org.

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