IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v87y2014icp419-441.html
   My bibliography  Save this article

Multidimensional cheap talk with sequential messages

Author

Listed:
  • Miura, Shintaro

Abstract

This paper studies a two-dimensional cheap talk game with two senders and one receiver. The senders possess the same information and sequentially send messages about that information. In one-dimensional sequential message cheap talk games where the state space is unbounded, the information is fully transmitted under the self-serving belief, as suggested by Krishna and Morgan (2001b). However, this result depends crucially on the structure of the one-dimensional model. It generally does not hold in two-dimensional models. We consider the extended self-serving belief, which implies full information transmission even if the self-serving belief cannot work. Then, we show that the necessary and sufficient condition for the existence of the fully revealing equilibrium is that the senders have opposing-biased preferences.

Suggested Citation

  • Miura, Shintaro, 2014. "Multidimensional cheap talk with sequential messages," Games and Economic Behavior, Elsevier, vol. 87(C), pages 419-441.
    • Handle: RePEc:eee:gamebe:v:87:y:2014:i:c:p:419-441
    DOI: 10.1016/j.geb.2014.06.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825614001134
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2014.06.005?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. 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.
    2. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    3. Zapechelnyuk, Andriy, 2013. "Eliciting information from a committee," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2049-2067.
    4. Kawai, Keiichi, 2015. "Sequential cheap talks," Games and Economic Behavior, Elsevier, vol. 90(C), pages 128-133.
    5. Gilat Levy & Ronny Razin, 2007. "On the Limits of Communication in Multidimensional Cheap Talk: A Comment," Econometrica, Econometric Society, vol. 75(3), pages 885-893, May.
    6. Vijay Krishna & John Morgan, 2001. "A Model of Expertise," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 747-775.
    7. Barnett,William A. & Schofield,Norman & Hinich,Melvin (ed.), 1993. "Political Economy: Institutions, Competition and Representation," Cambridge Books, Cambridge University Press, number 9780521428316, January.
    8. 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.
    9. 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.
    10. , & ,, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    11. Krishna, Vijay, 2001. "Asymmetric Information and Legislative Rules: Some Amendments," American Political Science Review, Cambridge University Press, vol. 95(2), pages 435-452, June.
    12. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    13. Barnett,William A. & Schofield,Norman & Hinich,Melvin (ed.), 1993. "Political Economy: Institutions, Competition and Representation," Cambridge Books, Cambridge University Press, number 9780521417815, January.
    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. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    2. Chiba, Saori & Hori, Kazumi, 2022. "Two-sided strategic information transmission," Games and Economic Behavior, Elsevier, vol. 134(C), pages 229-241.
    3. Kawai, Keiichi, 2015. "Sequential cheap talks," Games and Economic Behavior, Elsevier, vol. 90(C), pages 128-133.

    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. 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.
    2. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    3. 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.
    4. 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.
    5. 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.
    6. Esra E. Bayindir & Mehmet Y. Gurdal & Ayca Ozdogan & Ismail Saglam, 2020. "Cheap Talk Games with Two-Senders and Different Modes of Communication," Games, MDPI, vol. 11(2), pages 1-22, April.
    7. 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.
    8. Koessler, Frédéric & Martimort, David, 2012. "Optimal delegation with multi-dimensional decisions," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1850-1881.
    9. Migrow, Dimitri, 2021. "Designing communication hierarchies," Journal of Economic Theory, Elsevier, vol. 198(C).
    10. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.
    11. 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.
    12. Mylovanov, Tymofiy & Zapechelnyuk, Andriy, 2013. "Decision rules revealing commonly known events," Economics Letters, Elsevier, vol. 119(1), pages 8-10.
    13. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    14. Daniel Habermacher, 2022. "Information Aggregation in Multidimensional Cheap Talk," Working Papers 169, Red Nacional de Investigadores en Economía (RedNIE).
    15. Boris Knapp, 2021. "Fake Reviews and Naive Consumers," Vienna Economics Papers 2102, University of Vienna, Department of Economics.
    16. Li, Zhuozheng & Rantakari, Heikki & Yang, Huanxing, 2016. "Competitive cheap talk," Games and Economic Behavior, Elsevier, vol. 96(C), pages 65-89.
    17. Arnold Polanski & Mark Quement, 2023. "The battle of opinion: dynamic information revelation by ideological senders," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 463-483, June.
    18. Zapechelnyuk, Andriy, 2013. "Eliciting information from a committee," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2049-2067.
    19. Boris Knapp, 2021. "Fake Reviews and Naive Consumers," Vienna Economics Papers vie2102, University of Vienna, Department of Economics.
    20. Minozzi, William & Woon, Jonathan, 2019. "The limited value of a second opinion: Competition and exaggeration in experimental cheap talk games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 144-162.

    More about this item

    Keywords

    Multidimensional cheap talk; Multi-senders; Sequential communication; Fully revealing equilibrium;
    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

    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:gamebe:v:87:y:2014:i:c:p:419-441. 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/622836 .

    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.