IDEAS home Printed from https://ideas.repec.org/p/hhs/iuiwop/0450.html
   My bibliography  Save this paper

Neutrally Stable Outcomes in Cheap Talk Games

Author

Listed:
  • Banerjee, Abhijit

    (M.I.T)

  • Weibull, Jörgen W.

    (Stockholm School of Economics)

Abstract

This paper examines equilibrium and stability in symmetric two-player cheap-talk games. In particular, we characterize the set of neutrally stable outcomes in finite cheap-talk 2 x 2 coordination games. This set is finite and functionally independent of risk-dominance relations. As the number of messages goes to infinity, this set expands to a countable limit set that has exactly one cluster point, the Pareto efficient Nash equilibrium payoff. In contrast, the set of outcomes that are strategically stable for some finite message set is shown to be dense in the interval spanned by the Nash equilibrium payoffs of the game. We also show that the limit set of neutrally stable outcomes coincides with the set of neutrally stable outcomes for countable infinite message sets.

Suggested Citation

  • Banerjee, Abhijit & Weibull, Jörgen W., 1996. "Neutrally Stable Outcomes in Cheap Talk Games," Working Paper Series 450, Research Institute of Industrial Economics.
    • Handle: RePEc:hhs:iuiwop:0450
    as

    Download full text from publisher

    File URL: https://www.ifn.se/wfiles/wp/wp450.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
    2. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August.
    3. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-1399, November.
    4. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    5. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    6. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    7. Karl H. Schlag, "undated". "When Does Evolution Lead to Efficiency in Communication Games?," ELSE working papers 026, ESRC Centre on Economics Learning and Social Evolution.
    8. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    9. Warneryd, Karl, 1992. "Communication, correlation, and symmetry in bargaining," Economics Letters, Elsevier, vol. 39(3), pages 295-300, July.
    10. K. Schlag, 2010. "Cheap Talk and Evolutionary Dynamics," Levine's Working Paper Archive 541, David K. Levine.
    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. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
    2. Banerjee, Abhijit & Weibull, Jorgen W., 2000. "Neutrally Stable Outcomes in Cheap-Talk Coordination Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 1-24, July.
    3. Stefano Demichelis & Jorgen W. Weibull, 2008. "Language, Meaning, and Games: A Model of Communication, Coordination, and Evolution," American Economic Review, American Economic Association, vol. 98(4), pages 1292-1311, September.
    4. García, Julián & van Veelen, Matthijs, 2016. "In and out of equilibrium I: Evolution of strategies in repeated games with discounting," Journal of Economic Theory, Elsevier, vol. 161(C), pages 161-189.
    5. Norman, Thomas W.L., 2008. "Dynamically stable sets in infinite strategy spaces," Games and Economic Behavior, Elsevier, vol. 62(2), pages 610-627, March.
    6. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    7. Heller, Yuval & Mohlin, Erik, 2019. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Games and Economic Behavior, Elsevier, vol. 113(C), pages 223-247.
    8. Brian Skyrms, 2003. "Signals, Evolution and the Explanatory Power of Transient Information," Levine's Working Paper Archive 618897000000000799, David K. Levine.
    9. Oechssler, Jorg, 1997. "An Evolutionary Interpretation of Mixed-Strategy Equilibria," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 203-237, October.
    10. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
    11. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
    12. Christoph Kuzmics & Daniel Rodenburger, 2020. "A case of evolutionarily stable attainable equilibrium in the laboratory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 685-721, October.
    13. Vyrastekova, J., 2002. "Efficiency versus Risk Dominance in an Evolutionary Model with Cheap Talk," Other publications TiSEM 8af6c389-f8e1-429a-9841-6, Tilburg University, School of Economics and Management.
    14. Blume, Andreas, 1998. "Communication, Risk, and Efficiency in Games," Games and Economic Behavior, Elsevier, vol. 22(2), pages 171-202, February.
    15. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    16. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2016. "Refined best reply correspondence and dynamics," Center for Mathematical Economics Working Papers 451, Center for Mathematical Economics, Bielefeld University.
    17. Jacobsen, Hans Jorgen & Jensen, Mogens & Sloth, Birgitte, 2001. "Evolutionary Learning in Signalling Games," Games and Economic Behavior, Elsevier, vol. 34(1), pages 34-63, January.
    18. Peter Wikman, 2022. "Nash blocks," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 29-51, March.
    19. Ken Binmore & Larry Samuelson, "undated". "Evolutionary Drift and Equilibrium Selection," ELSE working papers 011, ESRC Centre on Economics Learning and Social Evolution.
    20. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.

    More about this item

    Keywords

    GAME; THEORY;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:hhs:iuiwop:0450. 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: Elisabeth Gustafsson (email available below). General contact details of provider: https://edirc.repec.org/data/iuiiise.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.