IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v168y2017icp177-208.html
   My bibliography  Save this article

Coordination-free equilibria in cheap talk games

Author

Listed:
  • Lu, Shih En

Abstract

This paper characterizes generic equilibrium play in a multi-sender version of Crawford and Sobel's (1982) cheap talk model, when robustness to a broad class of beliefs about noise in the senders' observation of the state is required. Just like in the one-sender model, information transmission is partial, equilibria have an interval form, and they can be computed through a generalized version of Crawford and Sobel's forward solution procedure. Fixing the senders' biases, full revelation is not achievable even as the state space becomes large. Intuitive welfare predictions, such as the desirability of consulting senders with small and opposite biases, follow.

Suggested Citation

  • Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
  • Handle: RePEc:eee:jetheo:v:168:y:2017:i:c:p:177-208
    DOI: 10.1016/j.jet.2016.12.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053116301132
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2016.12.004?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. Oyama, Daisuke & Tercieux, Olivier, 2010. "Robust equilibria under non-common priors," Journal of Economic Theory, Elsevier, vol. 145(2), pages 752-784, March.
    2. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    3. 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.
    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. 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.
    7. Ricardo Alonso & Niko Matouschek, 2008. "Optimal Delegation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 259-293.
    8. Matthews, Steven A. & Okuno-Fujiwara, Masahiro & Postlewaite, Andrew, 1991. "Refining cheap-talk equilibria," Journal of Economic Theory, Elsevier, vol. 55(2), pages 247-273, December.
    9. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, January.
    10. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    11. Wouter Dessein, 2002. "Authority and Communication in Organizations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 811-838.
    12. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    13. 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.
    14. Emanuel Vespa & Alistair J. Wilson, 2016. "Communication with multiple senders: An experiment," Quantitative Economics, Econometric Society, vol. 7(1), pages 1-36, March.
    15. 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.
    16. Ori Haimanko & Atsushi Kajii, 2016. "Approximate robustness of equilibrium to incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 839-857, November.
    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. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
    20. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
    21. , & , M. & ,, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
    22. Jackson, Matthew O. & Rodriguez-Barraquer, Tomas & Tan, Xu, 2012. "Epsilon-equilibria of perturbed games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 198-216.
    23. Krishna, Vijay, 2001. "Asymmetric Information and Legislative Rules: Some Amendments," American Political Science Review, Cambridge University Press, vol. 95(2), pages 435-452, June.
    24. 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. Alderighi, Marco & Nicolini, Marcella, 2022. "Strategic information disclosure in vertical markets," International Journal of Industrial Organization, Elsevier, vol. 85(C).
    2. Miura, Shintaro & Yamashita, Takuro, 2018. "Divergent Interpretation and Divergent Prediction in Communication," TSE Working Papers 18-939, Toulouse School of Economics (TSE).
    3. Renato Camodeca & Alex Almici & Umberto Sagliaschi, 2018. "Sustainability Disclosure in Integrated Reporting: Does It Matter to Investors? A Cheap Talk Approach," Sustainability, MDPI, vol. 10(12), pages 1-34, November.
    4. Junze Sun & Arthur Schram & Randolph Sloof, 2019. "A Theory on Media Bias and Elections," Tinbergen Institute Discussion Papers 19-048/I, Tinbergen Institute.
    5. Singh, Shweta & Compton, Jana E. & Hawkins, Troy R. & Sobota, Daniel J. & Cooter, Ellen J., 2017. "A Nitrogen Physical Input-Output Table (PIOT) model for Illinois," Ecological Modelling, Elsevier, vol. 360(C), pages 194-203.

    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. Migrow, Dimitri, 2021. "Designing communication hierarchies," Journal of Economic Theory, Elsevier, vol. 198(C).
    3. Irene Valsecchi, 2013. "The expert problem: a survey," Economics of Governance, Springer, vol. 14(4), pages 303-331, November.
    4. McGee, Andrew & Yang, Huanxing, 2013. "Cheap talk with two senders and complementary information," Games and Economic Behavior, Elsevier, vol. 79(C), pages 181-191.
    5. 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.
    6. Lim, Wooyoung, 2014. "Communication in bargaining over decision rights," Games and Economic Behavior, Elsevier, vol. 85(C), pages 159-179.
    7. 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.
    8. Takashi Shimizu, 2017. "Cheap talk with an exit option: a model of exit and voice," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1071-1088, November.
    9. Koessler, Frédéric & Martimort, David, 2012. "Optimal delegation with multi-dimensional decisions," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1850-1881.
    10. Zapechelnyuk, Andriy, 2013. "Eliciting information from a committee," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2049-2067.
    11. 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.
    12. 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.
    13. 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.
    14. Kolotilin, Anton & Li, Hao & Li, Wei, 2013. "Optimal limited authority for principal," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2344-2382.
    15. Liang, Pinghan, 2013. "Optimal delegation via a strategic intermediary," Games and Economic Behavior, Elsevier, vol. 82(C), pages 15-30.
    16. Tymofiy Mylovanov & Andriy Zapechelnyuk, 2010. "Decision Rules for Experts with Opposing Interests," Working Papers 674, Queen Mary University of London, School of Economics and Finance.
    17. Miura, Shintaro, 2014. "Multidimensional cheap talk with sequential messages," Games and Economic Behavior, Elsevier, vol. 87(C), pages 419-441.
    18. 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.
    19. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    20. 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.

    More about this item

    Keywords

    Cheap talk; Strategic communication; Robustness; Incomplete information;
    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:eee:jetheo:v:168:y:2017:i:c:p:177-208. 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.