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Cheap Talk with Coarse Understanding

Author

Listed:
  • Jeanne Hagenbach

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Frédéric Koessler

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract
We use the analogy-based expectation equilibrium (Jehiel, 2005) to study cheap talk from a sender who does not perfectly understand all the messages available to him. The sender is endowed with a privately known language competence corresponding to the set of messages that he understands. For the messages that he does not understand, the sender has correct but only coarse expectations about the equilibrium response of the receiver. An analogy-based expectation equilibrium is always a Bayesian solution but usually differs from a standard communication equilibrium and from an equilibrium with language barriers (Blume and Board, 2013). We characterize conditions under which an outcome remains an equilibrium outcome when the sender's competence decreases. Partial language competence rationalizes information transmission and lies in pure persuasion problems, and can facilitate information transmission from a moderately biased sender.

Suggested Citation

  • Jeanne Hagenbach & Frédéric Koessler, 2020. "Cheap Talk with Coarse Understanding," SciencePo Working papers Main halshs-02972755, HAL.
    • Handle: RePEc:hal:spmain:halshs-02972755
    DOI: 10.1016/j.geb.2020.07.015
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02972755
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    References listed on IDEAS

    as
    1. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
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    Cited by:

    1. Blume, Andreas & Noussair, Charles N. & Ye, Bohan, 2024. "Fragile meaning - an experiment," Journal of Economic Theory, Elsevier, vol. 216(C).
    2. Itai Arieli & Ivan Geffner & Moshe Tennenholtz, 2024. "Receiver-Oriented Cheap Talk Design," Papers 2401.03671, arXiv.org.
    3. Eliaz, Kfir & Spiegler, Ran & Thysen, Heidi C., 2021. "Persuasion with endogenous misspecified beliefs," LSE Research Online Documents on Economics 109842, London School of Economics and Political Science, LSE Library.
    4. Eliaz, Kfir & Spiegler, Ran & Thysen, Heidi C., 2021. "Persuasion with endogenous misspecified beliefs," European Economic Review, Elsevier, vol. 134(C).
    5. Alderighi, Marco & Nicolini, Marcella, 2022. "Strategic information disclosure in vertical markets," International Journal of Industrial Organization, Elsevier, vol. 85(C).
    6. Ran Spiegler, 2023. "Behavioral Causal Inference," Papers 2305.18916, arXiv.org.
    7. 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.
    8. Marco LiCalzi & Roland Mühlenbernd, 2022. "Feature-weighted categorized play across symmetric games," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1052-1078, June.

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    More about this item

    Keywords

    Analogy-based expectations; Bounded rationality; Cheap talk; Language; Pure persuasion; Strategic information transmission;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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