IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/11224.html
   My bibliography  Save this paper

Robustness of Full Revelation in Multisender Cheap Talk

Author

Listed:
  • Meyer, Margaret
  • Moreno de Barreda, Inés
  • Nafziger, Julia

Abstract

This paper studies information transmission in a two-sender, multidimensional cheap talk setting where there are exogenous constraints on the (convex) feasible set of policies for the receiver and where the receiver is uncertain about both the directions and the magnitudes of the senders' bias vectors. With the supports of the biases represented by cones, we prove that whenever there exists an equilibrium which fully reveals the state (a FRE), there exists a robust FRE, i.e. one in which small deviations result in only small punishments. We provide a geometric condition, the Local Deterrence Condition, relating the cones of the biases to the frontier of the policy space, that is necessary and sufficient for the existence of a FRE. We also construct a specific policy rule for the receiver, the Min Rule, that supports a robust FRE whenever one exists.

Suggested Citation

  • Meyer, Margaret & Moreno de Barreda, Inés & Nafziger, Julia, 2016. "Robustness of Full Revelation in Multisender Cheap Talk," CEPR Discussion Papers 11224, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:11224
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP11224
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

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

    Other versions of this item:

    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. Friedman James W. & Samuelson Larry, 1994. "Continuous Reaction Functions in Duopolies," Games and Economic Behavior, Elsevier, vol. 6(1), pages 55-82, January.
    3. 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.
    4. 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.
    5. , & ,, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    6. 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.
    7. Friedman, James W. & Samuelson, Larry, 1990. "Subgame perfect equilibrium with continuous reaction functions," Games and Economic Behavior, Elsevier, vol. 2(4), pages 304-324, December.
    8. 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.
    9. 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.
    10. Krishna, Vijay, 2001. "Asymmetric Information and Legislative Rules: Some Amendments," American Political Science Review, Cambridge University Press, vol. 95(2), pages 435-452, June.
    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. Deimen, Inga & Szalay, Dezsö, 2014. "Smooth, strategic communication," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100333, Verein für Socialpolitik / German Economic Association.
    2. 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.
    3. Szalay, Dezső & Deimen, Inga, 2015. "Information, authority, and smooth communication in organizations," CEPR Discussion Papers 10969, C.E.P.R. Discussion Papers.
    4. Feddersen, Timothy & Gradwohl, Ronen, 2020. "Decentralized advice," European Journal of Political Economy, Elsevier, vol. 63(C).
    5. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.

    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. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    2. Miura, Shintaro, 2014. "Multidimensional cheap talk with sequential messages," Games and Economic Behavior, Elsevier, vol. 87(C), pages 419-441.
    3. 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.
    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. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    7. 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.
    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. Zapechelnyuk, Andriy, 2013. "Eliciting information from a committee," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2049-2067.
    11. 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.
    12. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.
    13. Albertazzi, Andrea & Ploner, Matteo & Vaccari, Federico, 2024. "Welfare and competition in expert advice markets," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 74-103.
    14. 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.
    15. 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.
    16. Dugar, Subhasish & Shahriar, Quazi, 2023. "Lying for votes," Games and Economic Behavior, Elsevier, vol. 142(C), pages 46-72.
    17. Tymofiy Mylovanov & Andriy Zapechelnyuk, 2008. "Contracts for Experts with Opposing Interests," Discussion Papers 5, Kyiv School of Economics, revised Feb 2010.
    18. Catonini, Emiliano & Kurbatov, Andrey & Stepanov, Sergey, 2024. "Independent versus collective expertise," Games and Economic Behavior, Elsevier, vol. 143(C), pages 340-356.
    19. Mylovanov, Tymofiy & Zapechelnyuk, Andriy, 2013. "Decision rules revealing commonly known events," Economics Letters, Elsevier, vol. 119(1), pages 8-10.
    20. Persson, Petra, 2018. "Attention manipulation and information overload," Behavioural Public Policy, Cambridge University Press, vol. 2(1), pages 78-106, May.

    More about this item

    Keywords

    Cheap talk; Information transmission; Multisender; Full revelation; Robustness;
    All these keywords.

    JEL classification:

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

    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:cpr:ceprdp:11224. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.