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Neutrally Stable Outcomes in Cheap Talk Coordination Games

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  • Abhijit Banerjee
  • Jörgen W. Weibull

Abstract

This paper examines equilibrium and stability in symmetric two- player cheap-talk games. In particular, we characterize the set of neutrally stable outcomes infinite cheap-talk 2 x 2 coordination games. This set is finite and does not depend on 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 corresponding limit set of strictly perfect outcomes is shown to be dense in the interval spanned by the Nash equilibrium payoffs of the game. It is also shown that the limit set of neutrally stable outcomes coincides with the set of neutrally stable outcomes when the message set is (countably) infinite.

Suggested Citation

  • Abhijit Banerjee & Jörgen W. Weibull, "undated". "Neutrally Stable Outcomes in Cheap Talk Coordination Games," ELSE working papers 012, ESRC Centre on Economics Learning and Social Evolution.
  • Handle: RePEc:els:esrcls:012
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    References listed on IDEAS

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    Cited by:

    1. Herold, Florian & Kuzmics, Christoph, 2020. "The evolution of taking roles," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 38-63.
    2. Yuval Heller & Christoph Kuzmics, 2019. "Renegotiation and Coordination with Private Values," Graz Economics Papers 2019-10, University of Graz, Department of Economics.
    3. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    4. 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.
    5. Demichelis, Stefano & Weibull, Jörgen, 2006. "Efficiency, communication and honesty," SSE/EFI Working Paper Series in Economics and Finance 645, Stockholm School of Economics, revised 28 Nov 2006.
    6. Brian Skyrms, 2001. "Signals, Evolution and the Explanatory Power of Transient Information," Levine's Working Paper Archive 391749000000000001, David K. Levine.
    7. Herold, Florian & Kuzmics, Christoph, 2009. "Evolutionary stability of discrimination under observability," Games and Economic Behavior, Elsevier, vol. 67(2), pages 542-551, November.
    8. Yuval Heller & Christoph Kuzmics, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," Papers 2005.05713, arXiv.org, revised Jul 2021.
    9. Fausto Cavalli & Ahmad Naimzada & Marina Pireddu, 2015. "Effects of Size, Composition, and Evolutionary Pressure in Heterogeneous Cournot Oligopolies with Best Response Decisional Mechanisms," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-17, May.
    10. Stefano Lovo, 2009. "Preopening and equilibrium selection," Post-Print hal-00495940, HAL.
    11. Wiseman, Thomas & Yilankaya, Okan, 2001. "Cooperation, Secret Handshakes, and Imitation in the Prisoners' Dilemma," Games and Economic Behavior, Elsevier, vol. 37(1), pages 216-242, October.
    12. Heller, Yuval, 2013. "Language, Meaning, and Games: Comment," MPRA Paper 49375, University Library of Munich, Germany.
    13. 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.
    14. Heiner, Ronald Asher, 2002. "Robust Evolution Of Contingent Cooperation In Pure One-Shot Prisoners' Dilemmas. Part I: Vulnerable Contingent Participators Versus Stable Contingent Cooperators," CSLE Discussion Paper Series 2002-09, Saarland University, CSLE - Center for the Study of Law and Economics.
    15. Manuel Staab, 2020. "The Evolution of Status Preferences in Anti-Coordination Games," Papers 2011.02740, arXiv.org.
    16. Brian Skyrms, 2003. "Signals, Evolution and the Explanatory Power of Transient Information," Levine's Working Paper Archive 618897000000000799, David K. Levine.
    17. Ellingsen, Tore & Östling, Robert, 2006. "Organizational Structure as the Channeling of Boundedly Rational Pre-play Communication," SSE/EFI Working Paper Series in Economics and Finance 634, Stockholm School of Economics.
    18. Tore Ellingsen & Robert Östling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    19. Cavalli, Fausto & Naimzada, Ahmad & Pireddu, Marina, 2015. "Heterogeneity and the (de)stabilizing role of rationality," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 226-244.

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