IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v15y2015i2p251-275n6.html
   My bibliography  Save this article

Dynamic Information Revelation in Cheap Talk

Author

Listed:
  • Ivanov Maxim

    (Department of Economics, McMaster University, Kenneth Taylor Hall, 1280 Main Street West, Hamilton, ON, Canada L8S 4M4)

Abstract

This paper studies a multi-stage version of Crawford and Sobel’s communication game. In every period the receiver determines a test about the unknown state whose result is privately observed by the sender. After the sender sends a costless message about an outcome of the test, the receiver selects a test in the next period. After a finite number of periods of interaction, the receiver makes a decision. The paper offers a sequence of tests that refine sender’s information step-by-step and preserve truthtelling in every period. This sequence allows the receiver to learn the state in a subinterval of the state space with an arbitrary precision and has appealing theoretical properties. It consists of simple binary tests which reveal whether the state is above a certain cutoff, where the cutoffs are monotonic across periods and independent from results of the previous tests. Finally, we show that the relative payoff efficiency of multi-stage interaction compared to a single-stage game increases without a bound as the bias in preferences tends to zero.

Suggested Citation

  • Ivanov Maxim, 2015. "Dynamic Information Revelation in Cheap Talk," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 15(2), pages 251-275, July.
    • Handle: RePEc:bpj:bejtec:v:15:y:2015:i:2:p:251-275:n:6
    DOI: 10.1515/bejte-2014-0017
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/bejte-2014-0017
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/bejte-2014-0017?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ivanov, Maxim, 2010. "Informational control and organizational design," Journal of Economic Theory, Elsevier, vol. 145(2), pages 721-751, March.
    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. Ichihashi, Shota, 2019. "Limiting Sender's information in Bayesian persuasion," Games and Economic Behavior, Elsevier, vol. 117(C), pages 276-288.
    2. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006, Institute of Social and Economic Research, Osaka University.
    3. Frug, Alexander, 2018. "Strategic gradual learning and information transmission," Journal of Economic Theory, Elsevier, vol. 177(C), pages 594-615.
    4. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006r, Institute of Social and Economic Research, Osaka University, revised Jun 2018.
    5. Ayça Özdoðan, 2016. "A Survey of Strategic Communication and Persuasion," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 30(1), pages 1-21.
    6. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006rr, Institute of Social and Economic Research, Osaka University, revised Jan 2018.
    7. Farzaneh Farhadi & Demosthenis Teneketzis, 2022. "Dynamic Information Design: A Simple Problem on Optimal Sequential Information Disclosure," Dynamic Games and Applications, Springer, vol. 12(2), pages 443-484, June.
    8. Ivanov, Maxim & Sam, Alex, 2022. "Cheap talk with private signal structures," Games and Economic Behavior, Elsevier, vol. 132(C), pages 288-304.
    9. Maxim Ivanov, 2024. "Perfect robust implementation by private information design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 753-787, November.

    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. Yingkai Li & Boli Xu, 2024. "Falsifiable Test Design in Coordination Games," Papers 2405.18521, arXiv.org.
    2. Kovác, Eugen & Mylovanov, Tymofiy, 2009. "Stochastic mechanisms in settings without monetary transfers: The regular case," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1373-1395, July.
    3. Vincent Anesi & Daniel J. Seidmann, 2009. "Optimal Delegation with a Finite Number of States," Discussion Papers 2009-20, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    4. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    5. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.
    6. Maxim Ivanov, 2021. "Optimal monotone signals in Bayesian persuasion mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 955-1000, October.
    7. Deimen, Inga & Szalay, Dezsö, 2014. "Smooth, strategic communication," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100333, Verein für Socialpolitik / German Economic Association.
    8. Hedlund, Jonas, 2017. "Bayesian persuasion by a privately informed sender," Journal of Economic Theory, Elsevier, vol. 167(C), pages 229-268.
    9. Hedlund, Jonas, 2014. "Bayesian signaling," Working Papers 0577, University of Heidelberg, Department of Economics.
    10. Anton Kolotilin, 2013. "Optimal Information Disclosure: Quantity vs. Quality," Discussion Papers 2013-19, School of Economics, The University of New South Wales.
    11. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    12. Maria Goltsman, 2011. "Optimal information transmission in a holdup problem," RAND Journal of Economics, RAND Corporation, vol. 42(3), pages 495-526, September.
    13. Rossella Argenziano & Sergei Severinov & Francesco Squintani, 2016. "Strategic Information Acquisition and Transmission," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 119-155, August.
    14. Frug, Alexander, 2016. "A note on optimal cheap talk equilibria in a discrete state space," Games and Economic Behavior, Elsevier, vol. 99(C), pages 180-185.
    15. Frug, Alexander, 2018. "Strategic gradual learning and information transmission," Journal of Economic Theory, Elsevier, vol. 177(C), pages 594-615.
    16. Krähmer, Daniel & Kováč, Eugen, 2016. "Optimal sequential delegation," Journal of Economic Theory, Elsevier, vol. 163(C), pages 849-888.
    17. Ricardo Alonso & Odilon Câmara, 2016. "Persuading Voters," American Economic Review, American Economic Association, vol. 106(11), pages 3590-3605, November.
    18. Ivanov, Maxim & Sam, Alex, 2022. "Cheap talk with private signal structures," Games and Economic Behavior, Elsevier, vol. 132(C), pages 288-304.
    19. Manuel Foerster & Daniel Habermacher, 2023. "Policy-advising Competition and Endogenous Lobbies," Working Papers 229, Red Nacional de Investigadores en Economía (RedNIE).
    20. Daniel Habermacher, 2022. "Authority and Specialization under Informational Interdependence," Working Papers 142, Red Nacional de Investigadores en Economía (RedNIE).

    More about this item

    Keywords

    communication; information; cheap talk;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:bpj:bejtec:v:15:y:2015:i:2:p:251-275:n:6. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.