IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v222y2024ics0022053124001406.html
   My bibliography  Save this article

Cross-verification and persuasive cheap talk

Author

Listed:
  • Atakan, Alp
  • Ekmekci, Mehmet
  • Renou, Ludovic

Abstract

We study a cheap-talk game where two experts offer advice to a decision-maker whose actions affect the welfare of all. The experts cannot commit to reporting strategies. Yet, we show that the decision-maker's ability to cross-verify the experts' advice acts as a commitment device for the experts. We prove the existence of an equilibrium, where an expert's equilibrium payoff is equal to what he would obtain if he could commit to truthfully revealing his information.

Suggested Citation

  • Atakan, Alp & Ekmekci, Mehmet & Renou, Ludovic, 2024. "Cross-verification and persuasive cheap talk," Journal of Economic Theory, Elsevier, vol. 222(C).
    • Handle: RePEc:eee:jetheo:v:222:y:2024:i:c:s0022053124001406
    DOI: 10.1016/j.jet.2024.105934
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053124001406
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2024.105934?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. Au, Pak Hung & Kawai, Keiichi, 2020. "Competitive information disclosure by multiple senders," Games and Economic Behavior, Elsevier, vol. 119(C), pages 56-78.
    2. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," PSE-Ecole d'économie de Paris (Postprint) halshs-03325809, HAL.
    3. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    4. , & ,, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    5. Meyer, Margaret & Moreno de Barreda, Inés & Nafziger, Julia, 2019. "Robustness of full revelation in multisender cheap talk," Theoretical Economics, Econometric Society, vol. 14(4), November.
    6. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Post-Print halshs-03325809, HAL.
    7. Li, Fei & Norman, Peter, 2021. "Sequential persuasion," Theoretical Economics, Econometric Society, vol. 16(2), May.
    8. Gentzkow, Matthew & Kamenica, Emir, 2017. "Bayesian persuasion with multiple senders and rich signal spaces," Games and Economic Behavior, Elsevier, vol. 104(C), pages 411-429.
    9. Border,Kim C., 1990. "Fixed Point Theorems with Applications to Economics and Game Theory," Cambridge Books, Cambridge University Press, number 9780521388085, June.
    10. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    11. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    12. Battaglini Marco, 2004. "Policy Advice with Imperfectly Informed Experts," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-34, April.
    13. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    14. Li, Fei & Norman, Peter, 2018. "On Bayesian persuasion with multiple senders," Economics Letters, Elsevier, vol. 170(C), pages 66-70.
    15. David G. Luenberger & Yinyu Ye, 2008. "Linear and Nonlinear Programming," International Series in Operations Research and Management Science, Springer, edition 0, number 978-0-387-74503-9, June.
    16. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
    17. Krishna, Vijay, 2001. "Asymmetric Information and Legislative Rules: Some Amendments," American Political Science Review, Cambridge University Press, vol. 95(2), pages 435-452, June.
    18. 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)

    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. Alp Atakan & Mehmet Ekmekci & Ludovic Renou, 2021. "Cross-verification and Persuasive Cheap Talk," Papers 2102.13562, arXiv.org, revised Apr 2021.
    2. 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.
    3. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    4. Wu, Wenhao & Ye, Bohan, 2023. "Competition in persuasion: An experiment," Games and Economic Behavior, Elsevier, vol. 138(C), pages 72-89.
    5. Shih-Tang Su & Vijay G. Subramanian, 2022. "Order of Commitments in Bayesian Persuasion with Partial-informed Senders," Papers 2202.06479, arXiv.org.
    6. Wu, Wenhao, 2023. "Sequential Bayesian persuasion," Journal of Economic Theory, Elsevier, vol. 214(C).
    7. Au, Pak Hung & Kawai, Keiichi, 2020. "Competitive information disclosure by multiple senders," Games and Economic Behavior, Elsevier, vol. 119(C), pages 56-78.
    8. Teddy Mekonnen & Bobak Pakzad-Hurson, 2024. "Competition, Persuasion, and Search," Papers 2411.11183, arXiv.org, revised Apr 2025.
    9. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.
    10. Junze Sun & Arthur Schram & Randolph Sloof, 2019. "A Theory on Media Bias and Elections," Tinbergen Institute Discussion Papers 19-048/I, Tinbergen Institute.
    11. Ronen Gradwohl & Niklas Hahn & Martin Hoefer & Rann Smorodinsky, 2020. "Reaping the Informational Surplus in Bayesian Persuasion," Papers 2006.02048, arXiv.org.
    12. Ambrus, Attila & Lu, Shih En, 2014. "Almost fully revealing cheap talk with imperfectly informed senders," Games and Economic Behavior, Elsevier, vol. 88(C), pages 174-189.
    13. Simon Board & Jay Lu, 2018. "Competitive Information Disclosure in Search Markets," Journal of Political Economy, University of Chicago Press, vol. 126(5), pages 1965-2010.
    14. Irene Valsecchi, 2013. "The expert problem: a survey," Economics of Governance, Springer, vol. 14(4), pages 303-331, November.
    15. Wu, Jiemai, 2020. "Non-competing persuaders," European Economic Review, Elsevier, vol. 127(C).
    16. Jeong, Daeyoung, 2019. "Using cheap talk to polarize or unify a group of decision makers," Journal of Economic Theory, Elsevier, vol. 180(C), pages 50-80.
    17. Miura, Shintaro, 2014. "Multidimensional cheap talk with sequential messages," Games and Economic Behavior, Elsevier, vol. 87(C), pages 419-441.
    18. Lai, Ernest K. & Lim, Wooyoung & Wang, Joseph Tao-yi, 2015. "An experimental analysis of multidimensional cheap talk," Games and Economic Behavior, Elsevier, vol. 91(C), pages 114-144.
    19. Gordon Rausser & Leo Simon & Jinhua Zhao, 2015. "Rational exaggeration and counter-exaggeration in information aggregation games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 109-146, May.
    20. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.

    More about this item

    Keywords

    Bayesian persuasion; Information design; Commitment; Cheap talk; Multiple experts;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:eee:jetheo:v:222:y:2024:i:c:s0022053124001406. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.