IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v50y2021i4d10.1007_s00182-021-00774-0.html
   My bibliography  Save this article

The (non-)robustness of influential cheap talk equilibria when the sender’s preferences are state independent

Author

Listed:
  • Christoph Diehl

    (Bielefeld University
    Université Paris 1 Panthéon-Sorbonne)

  • Christoph Kuzmics

    (University of Graz)

Abstract

Chakraborty and Harbaugh (Am Econ Rev 100(5):2361–2382, 2010) prove the existence of influential cheap talk equilibria in one sender one receiver games when the state is multidimensional and the preferences of the sender are state independent. We show that influential equilibria do not survive the introduction of any small degree of Harsanyi-uncertainty, i.e., uncertainty about the sender’s preferences in the spirit of Harsanyi (Int J Game Theory 2(1):1–23, 1973).

Suggested Citation

  • Christoph Diehl & Christoph Kuzmics, 2021. "The (non-)robustness of influential cheap talk equilibria when the sender’s preferences are state independent," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 911-925, December.
  • Handle: RePEc:spr:jogath:v:50:y:2021:i:4:d:10.1007_s00182-021-00774-0
    DOI: 10.1007/s00182-021-00774-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-021-00774-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00182-021-00774-0?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. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    2. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    5. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    6. V. Bhaskar, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 135-149.
    7. V. Bhaskar & George J. Mailath & Stephen Morris, 2008. "Purification in the Infinitely-Repeated Prisoners' Dilemma," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 515-528, July.
    8. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, March.
    9. V. Bhaskar & George J. Mailath & Stephen Morris, 2013. "A Foundation for Markov Equilibria in Sequential Games with Finite Social Memory -super-," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(3), pages 925-948.
    10. Archishman Chakraborty & Rick Harbaugh, 2010. "Persuasion by Cheap Talk," American Economic Review, American Economic Association, vol. 100(5), pages 2361-2382, December.
      • Archishman Chakraborty & Rick Harbaugh, 2006. "Persuasion by Cheap Talk," Working Papers 2006-10, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Oct 2009.
    11. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-391, June.
    12. , & ,, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    13. Elliot Lipnowski & Doron Ravid, 2020. "Cheap Talk With Transparent Motives," Econometrica, Econometric Society, vol. 88(4), pages 1631-1660, July.
    14. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
    15. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
    16. 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. Jan-Henrik Steg & Elshan Garashli & Michael Greinecker & Christoph Kuzmics, 2023. "Robust equilibria in cheap-talk games with fairly transparent motives," Papers 2309.04193, arXiv.org, revised Mar 2024.
    2. Itai Arieli & Ronen Gradwohl & Rann Smorodinsky, 2023. "Informationally Robust Cheap-Talk," Papers 2302.00281, arXiv.org.
    3. Xiaoxiao Hu & Haoran Lei, 2023. "Information transmission in monopolistic credence goods markets," Papers 2303.13295, arXiv.org, revised Apr 2023.
    4. Alistair Barton, 2024. "Robust Communication Between Parties with Nearly Independent Preferences," Papers 2403.13983, arXiv.org.
    5. Xiaoxiao Hu & Haoran Lei, 2022. "The optimality of (stochastic) veto delegation," Papers 2208.14829, arXiv.org, revised Sep 2024.

    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. 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.
    2. Chen, Yi-Chun & Mueller-Frank, Manuel & Pai, Mallesh M., 2022. "Continuous implementation with direct revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 201(C).
    3. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
    4. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    5. Boris Knapp, 2021. "Fake Reviews and Naive Consumers," Vienna Economics Papers 2102, University of Vienna, Department of Economics.
    6. Li, Zhuozheng & Rantakari, Heikki & Yang, Huanxing, 2016. "Competitive cheap talk," Games and Economic Behavior, Elsevier, vol. 96(C), pages 65-89.
    7. Deimen, Inga & Szalay, Dezsö, 2014. "A Smooth, strategic communication," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 479, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    9. Sugaya, Takuo & Takahashi, Satoru, 2013. "Coordination failure in repeated games with private monitoring," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1891-1928.
    10. Little, Andrew T., 2022. "Bayesian Explanations for Persuasion," OSF Preprints ygw8e, Center for Open Science.
    11. Antonio Penta & Peio Zuazo-Garin, 2022. "Rationalizability, Observability, and Common Knowledge," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(2), pages 948-975.
    12. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    13. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    14. Boris Knapp, 2021. "Fake Reviews and Naive Consumers," Vienna Economics Papers vie2102, University of Vienna, Department of Economics.
    15. Qin, Cheng-Zhong & Yang, Chun-Lei, 2013. "Finite-order type spaces and applications," Journal of Economic Theory, Elsevier, vol. 148(2), pages 689-719.
    16. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
    17. Alistair J. Wilson & Emanuel Vespa, 2012. "Communication With Multiple Senders and Multiple Dimensions: An Experiment," Working Paper 384, Department of Economics, University of Pittsburgh, revised Mar 2012.
    18. Murali Agastya & Parimal Kanti Bag & Indranil Chakraborty, 2014. "Communication and authority with a partially informed expert," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 176-197, March.
    19. Diehl, Christoph & Kuzmics, Christoph, 2014. "The (non-) robustness of influential cheap talk equilibria," Center for Mathematical Economics Working Papers 489, Center for Mathematical Economics, Bielefeld University.
    20. Andrew T Little, 2023. "Bayesian explanations for persuasion," Journal of Theoretical Politics, , vol. 35(3), pages 147-181, July.

    More about this item

    Keywords

    Cheap talk; Communication; Information transmission; Robustness;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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:spr:jogath:v:50:y:2021:i:4:d:10.1007_s00182-021-00774-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.