IDEAS home Printed from https://ideas.repec.org/p/yor/yorken/16-08.html
   My bibliography  Save this paper

Rationalizable Persuasion

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2016/1608.pdf
    File Function: Main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
    2. Goltsman, Maria & Pavlov, Gregory, 2011. "How to talk to multiple audiences," Games and Economic Behavior, Elsevier, vol. 72(1), pages 100-122, May.
    3. Elliot Lipnowski & Laurent Mathevet, 2018. "Disclosure to a Psychological Audience," American Economic Journal: Microeconomics, American Economic Association, vol. 10(4), pages 67-93, November.
    4. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064.
    5. Martin Dufwenberg & Mark Stegeman, 2002. "Existence and Uniqueness of Maximal Reductions Under Iterated Strict Dominance," Econometrica, Econometric Society, vol. 70(5), pages 2007-2023, September.
    6. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105.
    7. 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..
    8. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    9. 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, September.
    10. Shimoji, Makoto & Watson, Joel, 1998. "Conditional Dominance, Rationalizability, and Game Forms," Journal of Economic Theory, Elsevier, vol. 83(2), pages 161-195, December.
    11. 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.
    12. 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.
    13. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    14. Ina Taneva, 2019. "Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 11(4), pages 151-185, November.
    15. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap Talk with Two Audiences," American Economic Review, American Economic Association, vol. 79(5), pages 1214-1223, December.
    16. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    17. Anton Kolotilin, 2013. "Optimal Information Disclosure: Quantity vs. Quality," Discussion Papers 2013-19, School of Economics, The University of New South Wales.
    18. Isabelle Brocas & Juan D. Carrillo, 2007. "Influence through ignorance," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 931-947, December.
    19. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165.
    20. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314.
    21. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
    22. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    2. Ertac, Seda & Koçkesen, Levent & Ozdemir, Duygu, 2016. "The role of verifiability and privacy in the strategic provision of performance feedback: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 100(C), pages 24-45.
    3. Makoto Shimoji, 2022. "Bayesian persuasion in unlinked games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 451-481, November.
    4. Battigalli, Pierpaolo & De Vito, Nicodemo, 2021. "Beliefs, plans, and perceived intentions in dynamic games," Journal of Economic Theory, Elsevier, vol. 195(C).
    5. Ivan Balbuzanov, 2019. "Lies and consequences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1203-1240, December.
    6. de Groot Ruiz, Adrian & Offerman, Theo & Onderstal, Sander, 2015. "Equilibrium selection in experimental cheap talk games," Games and Economic Behavior, Elsevier, vol. 91(C), pages 14-25.
    7. Mezzetti, Claudio, 2020. "Manipulative Disclosure," The Warwick Economics Research Paper Series (TWERPS) 1250, University of Warwick, Department of Economics.
    8. Özalp Özer & Upender Subramanian & Yu Wang, 2018. "Information Sharing, Advice Provision, or Delegation: What Leads to Higher Trust and Trustworthiness?," Management Science, INFORMS, vol. 64(1), pages 474-493, January.
    9. Nicolas Jacquemet & Stéphane Luchini & Jason F. Shogren & Adam Zylbersztejn, 2018. "Coordination with communication under oath," Experimental Economics, Springer;Economic Science Association, vol. 21(3), pages 627-649, September.
    10. Antony Millner & Hélène Ollivier, 2016. "Beliefs, Politics, and Environmental Policy," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 10(2), pages 226-244.
    11. Lin Hu & Anqi Li & Ilya Segal, 2019. "The Politics of Personalized News Aggregation," Papers 1910.11405, arXiv.org, revised Nov 2022.
    12. Gottardi, Piero & Meléndez-Jiménez, Miguel A. & Feri, Francesco, 2016. "Can there be a market for cheap-talk information? Some experimental evidence," CEPR Discussion Papers 11206, C.E.P.R. Discussion Papers.
    13. Cabrales, Antonio & Feri, Francesco & Gottardi, Piero & Meléndez-Jiménez, Miguel A., 2020. "Can there be a market for cheap-talk information? An experimental investigation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 368-381.
    14. Dufwenberg, Martin & Servátka, Maroš & Vadovič, Radovan, 2017. "Honesty and informal agreements," Games and Economic Behavior, Elsevier, vol. 102(C), pages 269-285.
    15. Stéphan Sémirat, 2019. "Skewed information transmission: the effect of complementarities in a multi-dimensional cheap talk game," Post-Print halshs-02068501, HAL.
    16. Cabrales, Antonio & Feri, Francesco & Gottardi, Piero & Meléndez-Jiménez, Miguel A., 2021. "Communication and social preferences: an experimental analysis," CEPR Discussion Papers 15711, C.E.P.R. Discussion Papers.
    17. Guarino, Pierfrancesco, 2020. "An epistemic analysis of dynamic games with unawareness," Games and Economic Behavior, Elsevier, vol. 120(C), pages 257-288.
    18. Eran Hanany & Peter Klibanoff & Sujoy Mukerji, 2020. "Incomplete Information Games with Ambiguity Averse Players," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 135-187, May.
    19. Sémirat, Stéphan, 2019. "Skewed information transmission: The effect of complementarities in a multi-dimensional cheap talk game," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 1-19.
    20. Giovannoni, Francesco & Xiong, Siyang, 2019. "Communication under language barriers," Journal of Economic Theory, Elsevier, vol. 180(C), pages 274-303.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:yor:yorken:16/08. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Paul Hodgson (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.