IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/915.html
   My bibliography  Save this paper

Sequential Equilibria and Cheap Talk in Infinite Signaling Games

Author

Listed:
  • Karl Iorio
  • Alejandro M. Manuelli

Abstract

This paper shows the existence of sequential and weak-best-response equilibria for cheap-talk extensions of signaling games for a class of signaling games called communication-impervious. An example shows there are well-behaved infinite signaling games with no sequential equilibria. The assumption that talk is cheap seems reasonable in many economic contexts and yields a very straightforward solution to the existence problem in infinite signaling games. The cheap-talk assumption opens the possibility of extending the methods of this paper to prove the existence of equilibrium in more-general extensive-form games with infinite action and information sets.

Suggested Citation

  • Karl Iorio & Alejandro M. Manuelli, 1990. "Sequential Equilibria and Cheap Talk in Infinite Signaling Games," Discussion Papers 915, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:915
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/915.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
    2. Farrell, Joseph & Gibbons, Robert, 1986. "Cheap Talk in Bargaining Games," Department of Economics, Working Paper Series qt1vq3k8mj, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    4. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    5. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    6. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    7. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    8. Hellwig, Martin & Leininger, Wolfgang, 1987. "On the existence of subgame-perfect equilibrium in infinite-action games of perfect information," Journal of Economic Theory, Elsevier, vol. 43(1), pages 55-75, October.
    9. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    10. Stein, Jeremy C, 1989. "Cheap Talk and the Fed: A Theory of Imprecise Policy Announcements," American Economic Review, American Economic Association, vol. 79(1), pages 32-42, March.
    11. Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-628, May.
    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. Blume, Andreas & Lai, Ernest K. & Lim, Wooyoung, 2019. "Eliciting private information with noise: The case of randomized response," Games and Economic Behavior, Elsevier, vol. 113(C), pages 356-380.
    2. Chirantan Ganguly & Indrajit Ray, 2023. "Simple Mediation in a Cheap-Talk Game," Games, MDPI, vol. 14(3), pages 1-14, June.
    3. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    4. Heller, Yuval & Solan, Eilon & Tomala, Tristan, 2012. "Communication, correlation and cheap-talk in games with public information," Games and Economic Behavior, Elsevier, vol. 74(1), pages 222-234.
    5. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
    6. Blume, Andreas, 2012. "A class of strategy-correlated equilibria in sender–receiver games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 510-517.
    7. Correia-da-Silva, João, 2020. "Self-rejecting mechanisms," Games and Economic Behavior, Elsevier, vol. 120(C), pages 434-457.
    8. Bernhard von Stengel & Françoise Forges, 2008. "Extensive-Form Correlated Equilibrium: Definition and Computational Complexity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 1002-1022, November.
    9. repec:dau:papers:123456789/5279 is not listed on IDEAS
    10. Rivera, Thomas J., 2018. "Incentives and the structure of communication," Journal of Economic Theory, Elsevier, vol. 175(C), pages 201-247.
    11. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    12. Hammad Siddiqi, 2007. "Stock Price Manipulation : The Role of Intermediaries," Finance Working Papers 22280, East Asian Bureau of Economic Research.
    13. Hagenbach, Jeanne & Koessler, Frédéric, 2020. "Cheap talk with coarse understanding," Games and Economic Behavior, Elsevier, vol. 124(C), pages 105-121.
    14. Aurora García-Gallego & Penélope Hernández-Rojas & Amalia Rodrigo-González, 2013. "Endogenous vs. Exogenous Transmission of Information: An Experiment," Working Papers 2013/06, Economics Department, Universitat Jaume I, Castellón (Spain).
    15. Johanna Hertel & John Smith, 2013. "Not so cheap talk: costly and discrete communication," Theory and Decision, Springer, vol. 75(2), pages 267-291, August.
    16. B. Douglas Bernheim & Sergei Severinov, 2003. "Bequests as Signals: An Explanation for the Equal Division Puzzle," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 733-764, August.
    17. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
    18. Kohei Kawamura, 2007. "Constrained Communication with Multiple Agents: Anonymity, Equal Treatment, and Public Good Provision," Edinburgh School of Economics Discussion Paper Series 166, Edinburgh School of Economics, University of Edinburgh.
    19. Jesse Bull & Joel Watson, 2019. "Statistical evidence and the problem of robust litigation," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 974-1003, December.
    20. Blume, Andreas & DeJong, Douglas V. & Kim, Yong-Gwan & Sprinkle, Geoffrey B., 2001. "Evolution of Communication with Partial Common Interest," Games and Economic Behavior, Elsevier, vol. 37(1), pages 79-120, October.
    21. Jeanne Hagenbach & Frédéric Koessler, 2019. "Partial Language Competence," Working Papers hal-03393108, HAL.

    More about this item

    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:nwu:cmsems:915. 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: Fran Walker (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.html .

    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.