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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

    as
    1. Goltsman, Maria & Pavlov, Gregory, 2011. "How to talk to multiple audiences," Games and Economic Behavior, Elsevier, vol. 72(1), pages 100-122, May.
    2. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476.
    3. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    4. Ina A Taneva, 2015. "Information Design," ESE Discussion Papers 256, Edinburgh School of Economics, University of Edinburgh.
    5. Anton Kolotilin, 2013. "Optimal Information Disclosure: Quantity vs. Quality," Discussion Papers 2013-19, School of Economics, The University of New South Wales.
    6. Adam Brandenburger & Amanda Friedenberg & H. Jerome Keisler, 2014. "Admissibility in Games," World Scientific Book Chapters,in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 7, pages 161-212 World Scientific Publishing Co. Pte. Ltd..
    7. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    8. Takashi Ui, 2009. "Bayesian potentials and information structures: Team decision problems revisited," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(3), pages 271-291.
    9. Shimoji, Makoto & Watson, Joel, 1998. "Conditional Dominance, Rationalizability, and Game Forms," Journal of Economic Theory, Elsevier, vol. 83(2), pages 161-195, December.
    10. Shimoji, Makoto, 2004. "On the equivalence of weak dominance and sequential best response," Games and Economic Behavior, Elsevier, vol. 48(2), pages 385-402, August.
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    More about this item

    Keywords

    Bayesian Persuasion Games; Multiple Receivers; Heterogeneous Beliefs;

    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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