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Strategic interpretations

Author

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  • Eliaz, Kfir
  • Spiegler, Ran
  • Thysen, Heidi C.

Abstract

We study strategic communication when the sender's multi-dimensional messages are given an interpretation by the sender himself or by a proxy. Interpreting messages involves the provision of some data about their statistical state-dependence. Interpretation can be selective: different kinds of data interpret different sets of message components. The receiver uses this data to decipher messages, yet he does not draw any inferences from the kind of data he is given. In this way, strategic interpretation of messages can influence the receiver's understanding of their equilibrium meaning. We show that in a two-action, two-state setting, the sender can attain his first-best payoff when the prior on one state exceeds a threshold that decays quickly with message dimensionality. We examine the result's robustness to the critique that our receiver does not attempt any inferences from selective interpretations.

Suggested Citation

  • Eliaz, Kfir & Spiegler, Ran & Thysen, Heidi C., 2021. "Strategic interpretations," Journal of Economic Theory, Elsevier, vol. 192(C).
  • Handle: RePEc:eee:jetheo:v:192:y:2021:i:c:s0022053121000090
    DOI: 10.1016/j.jet.2021.105192
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    References listed on IDEAS

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    Cited by:

    1. Joshua Schwartzstein & Adi Sunderam, 2021. "Using Models to Persuade," American Economic Review, American Economic Association, vol. 111(1), pages 276-323, January.
    2. Hagenbach, Jeanne & Koessler, Frédéric, 2020. "Cheap talk with coarse understanding," Games and Economic Behavior, Elsevier, vol. 124(C), pages 105-121.
    3. Eliaz, Kfir & Spiegler, Ran & Thysen, Heidi C., 2021. "Persuasion with endogenous misspecified beliefs," European Economic Review, Elsevier, vol. 134(C).
    4. Spiegler, Ran, 2021. "Modeling players with random “data access”," Journal of Economic Theory, Elsevier, vol. 198(C).

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    More about this item

    Keywords

    Persuasion; Bounded rationality; Model misspecification;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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