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Two-Speed Evolution with Pre-Play Communication and Limited Flexibility


  • Kenichi Amaya

    (Kobe University)


This paper studies the effects of pre-play communication on equilibrium selection in 2-by-2 symmetric coordination games. The players repeatedly play a coordination game preceded by an opportunity to exchange payoff irrelevant messages and gradually adjust their behavior. In short run, the players' access to the actions of the coordination game may be restricted. While the players can revise the set of accessible actions only occasionally, they frequently adjust their behavior in the cheap-talk game, taking the set of currently available actions as given. We obtain an efficient-equilibrium-selection result if the underlying coordination game satisfies the self-signaling condition. On the other hand, if the game is not self-signaling, both the efficient and the inefficient equilibrium outcomes are stable. (Copyright: Elsevier)

Suggested Citation

  • Kenichi Amaya, 2006. "Two-Speed Evolution with Pre-Play Communication and Limited Flexibility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 310-325, April.
  • Handle: RePEc:red:issued:v:9:y:2006:i:2:p:310-325
    DOI: 10.1016/

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    References listed on IDEAS

    1. Ely, Jeffrey C. & Yilankaya, Okan, 2001. "Nash Equilibrium and the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 255-272, April.
    2. Blume, Andreas, 1998. "Communication, Risk, and Efficiency in Games," Games and Economic Behavior, Elsevier, vol. 22(2), pages 171-202, February.
    3. Galesloot, Bob M. & Goyal, Sanjeev, 1997. "Costs of flexibility and equilibrium selection," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 249-264, October.
    4. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August.
    5. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    6. Baliga, Sandeep & Morris, Stephen, 2002. "Co-ordination, Spillovers, and Cheap Talk," Journal of Economic Theory, Elsevier, vol. 105(2), pages 450-468, August.
    7. Akihiko Matsui, 1989. "Cheap Talk and Cooperation in the Society," Discussion Papers 848, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-1193, September.
    9. Goyal, Sanjeev & Janssen, Maarten C. W., 1997. "Non-Exclusive Conventions and Social Coordination," Journal of Economic Theory, Elsevier, vol. 77(1), pages 34-57, November.
    10. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    11. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
    12. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
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    More about this item


    coordination games; communication; evolution; efficiency; cheap talk;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games


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