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Rationalizable Persuasion

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  • Makoto Shimoji

Abstract

We analyze multi-receiver Bayesian persuasion games with heterogeneous beliefs, originating from Kamenica and Gentzkow (2011). We directly examine the sender's messages, which are supported by rationalizability. With no strategic interactions at the stage game, the sender's optimization problem can be viewed as a set of linear programming problems. We also show some generic properties of solutions. With strategic interactions at the stage game, we provide examples on two aspects of communication (only arising with the receivers' strategic interactions): "talking about others privately" and "tacit understandings", of which the latter is implied by forward induction.

Suggested Citation

  • Makoto Shimoji, 2016. "Rationalizable Persuasion," Discussion Papers 16/08, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:16/08
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    References listed on IDEAS

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    Cited by:

    1. Makoto Shimoji, 2022. "Bayesian persuasion in unlinked games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 451-481, November.
    2. Chan, Jimmy & Gupta, Seher & Li, Fei & Wang, Yun, 2019. "Pivotal persuasion," Journal of Economic Theory, Elsevier, vol. 180(C), pages 178-202.
      • Jimmy Chan & Seher Gupta & Fei Li & Yun Wang, 2018. "Pivotal Persuasion," Working Papers 2018-11-03, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.

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    More about this item

    Keywords

    Bayesian Persuasion Games; Multiple Receivers; Heterogeneous Beliefs;
    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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