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Persuasion under costly learning

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  • Wei, Dong

Abstract

A Sender (seller) tries to persuade a rationally inattentive Receiver (buyer) to take a particular action (e.g., buying). Learning is costly for the Receiver who can choose to process strictly less information than what the sender provides. In a binary-action binary-state model, we show that optimal disclosure involves information distortion, but to a lesser extent than the case without learning costs; meanwhile, the Receiver processes less information than what he would under full disclosure. We also find that the Receiver can leverage his potential inattention to attain a higher equilibrium payoff than the perfectly attentive case. While the Sender is always worse off when facing a less attentive Receiver, the amount of information processed in equilibrium varies with learning costs in a non-monotone fashion.

Suggested Citation

  • Wei, Dong, 2021. "Persuasion under costly learning," Journal of Mathematical Economics, Elsevier, vol. 94(C).
  • Handle: RePEc:eee:mateco:v:94:y:2021:i:c:s0304406820301282
    DOI: 10.1016/j.jmateco.2020.11.007
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    References listed on IDEAS

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    1. Lipnowski, Elliot & Mathevet, Laurent & Wei, Dong, 2022. "Optimal attention management: A tractable framework," Games and Economic Behavior, Elsevier, vol. 133(C), pages 170-180.
    2. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
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    5. Ludmila Matyskova, 2018. "Bayesian Persuasion with Costly Information Acquisition," CERGE-EI Working Papers wp614, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    6. Andrew Caplin & Mark Dean & John Leahy, 2022. "Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy," Journal of Political Economy, University of Chicago Press, vol. 130(6), pages 1676-1715.
    7. Elliot Lipnowski & Laurent Mathevet & Dong Wei, 2020. "Attention Management," American Economic Review: Insights, American Economic Association, vol. 2(1), pages 17-32, March.
    8. Herbert A. Simon, 1996. "The Sciences of the Artificial, 3rd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262691914, April.
    9. Arieli, Itai & Babichenko, Yakov, 2019. "Private Bayesian persuasion," Journal of Economic Theory, Elsevier, vol. 182(C), pages 185-217.
    10. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    11. Matthew Gentzkow & Emir Kamenica, 2014. "Costly Persuasion," American Economic Review, American Economic Association, vol. 104(5), pages 457-462, May.
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    Cited by:

    1. Lipnowski, Elliot & Mathevet, Laurent & Wei, Dong, 2022. "Optimal attention management: A tractable framework," Games and Economic Behavior, Elsevier, vol. 133(C), pages 170-180.
    2. Matysková, Ludmila & Montes, Alfonso, 2023. "Bayesian persuasion with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 211(C).
    3. Beg, Sabrin & Islam, Mahnaz & Rahman, Khandker Wahedur, 2024. "Information and behavior: Evidence from fertilizer quantity recommendations in Bangladesh," Journal of Development Economics, Elsevier, vol. 166(C).
    4. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Papers 2203.16809, arXiv.org, revised Apr 2022.
    5. Avi Lichtig & Helene Mass, 2024. "Optimal Testing in Disclosure Games," CRC TR 224 Discussion Paper Series crctr224_2024_543, University of Bonn and University of Mannheim, Germany.
    6. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Working Papers on Central Bank Communication 039, University of Tokyo, Graduate School of Economics.

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