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Markovian persuasion with stochastic revelations

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  • Lehrer, Ehud
  • Shaiderman, Dimitry

Abstract

This paper examines information transmission games where the sender knows the realizations of states from a Markov process, but his informational advantage is counteracted by outside, random revelations to the receiver. For very patient players, we characterize the sender's value of the game with outside revelations in terms of the value without outside revelations. Through our characterization, we identify that, in contrast with the sender-receiver games with fixed states, the sender may benefit from being patient: his discounted value of the game may increase as the discount factor grows.

Suggested Citation

  • Lehrer, Ehud & Shaiderman, Dimitry, 2025. "Markovian persuasion with stochastic revelations," Games and Economic Behavior, Elsevier, vol. 154(C), pages 411-439.
    • Handle: RePEc:eee:gamebe:v:154:y:2025:i:c:p:411-439
    DOI: 10.1016/j.geb.2025.09.014
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    References listed on IDEAS

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    1. Jackson, Matthew O. & Kalai, Ehud, 1997. "Social Learning in Recurring Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 102-134, October.
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    6. Ashkenazi-Golan, Galit & Hernández, Penélope & Neeman, Zvika & Solan, Eilon, 2023. "Markovian persuasion with two states," LSE Research Online Documents on Economics 119970, London School of Economics and Political Science, LSE Library.
    7. Ehud Lehrer & Dimitry Shaiderman, 2022. "Markovian Persuasion with Stochastic Revelations," Papers 2204.08659, arXiv.org, revised Dec 2025.
    8. Ashkenazi-Golan, Galit & Hernández, Penélope & Neeman, Zvika & Solan, Eilon, 2023. "Markovian persuasion with two states," Games and Economic Behavior, Elsevier, vol. 142(C), pages 292-314.
    9. Lehrer, Ehud & Shaiderman, Dimitry, 2025. "Markovian persuasion with stochastic revelations," Games and Economic Behavior, Elsevier, vol. 154(C), pages 411-439.
    10. Farzaneh Farhadi & Demosthenis Teneketzis, 2022. "Dynamic Information Design: A Simple Problem on Optimal Sequential Information Disclosure," Dynamic Games and Applications, Springer, vol. 12(2), pages 443-484, June.
    11. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    12. Solan,Eilon, 2022. "A Course in Stochastic Game Theory," Cambridge Books, Cambridge University Press, number 9781009014793, November.
    13. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    14. Jérôme Renault, 2006. "The Value of Markov Chain Games with Lack of Information on One Side," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 490-512, August.
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    1. Lehrer, Ehud & Shaiderman, Dimitry, 2025. "Markovian persuasion with stochastic revelations," Games and Economic Behavior, Elsevier, vol. 154(C), pages 411-439.

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    Keywords

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    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • 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
    • K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General
    • M31 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Marketing

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