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Imitation, local interaction, and coordination

  • Hsiao-Chi Chen

    ()

  • Yunshyong Chow

    ()

  • Li-Chau Wu

    ()

Registered author(s):

    This paper analyzes players’ long-run behavior in evolutionary coordination games with imitation and one-dimensional local interaction. Players are assumed to interact with their two neighbors and to imitate actions with the highest average payoffs. We find that the payoff-dominant equilibrium survives in the long run with positive probability. The results derive the conditions under which both risk-dominant-strategy and payoff-dominant-strategy takers co-exist in the long run. The risk-dominant equilibrium is the unique long-run equilibrium for the remaining cases. This study extends and complements the analyses of Eshel et al. (Am Econ Rev 88:157–179, 1998 ) and Vega-Redondo (Evolution, games, and economic behaviour, 1996 ). Combining Alós-Ferrer and Weidenholzer’s (Econ Lett 93:163–168, 2006 ; J Econ Theory 14:251–274, 2008 ) and our results, we conclude that players’ long-run behavior varies with imitation rules and information collecting modes. Finally, we show the convergence rate to all the long-run equilibria. Copyright Springer-Verlag Berlin Heidelberg 2013

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    File URL: http://hdl.handle.net/10.1007/s00182-012-0353-7
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    Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

    Volume (Year): 42 (2013)
    Issue (Month): 4 (November)
    Pages: 1041-1057

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    Handle: RePEc:spr:jogath:v:42:y:2013:i:4:p:1041-1057
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    1. Jose Apesteguia & Steffen Huck & Jörg Oechssler, 2005. "Imitation - Theory and Experimental Evidence -," Working Papers 0419, University of Heidelberg, Department of Economics, revised Apr 2005.
    2. Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November.
    3. J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
    4. Ely Jeffrey C, 2002. "Local Conventions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-32, May.
    5. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
    6. Anwar, A. W., 2002. "On the Co-existence of Conventions," Journal of Economic Theory, Elsevier, vol. 107(1), pages 145-155, November.
    7. Robles, Jack, 1998. "Evolution with Changing Mutation Rates," Journal of Economic Theory, Elsevier, vol. 79(2), pages 207-223, April.
    8. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    9. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
    10. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
    11. M. Kandori & R. Rob, 2010. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Levine's Working Paper Archive 502, David K. Levine.
    12. Glenn Ellison & Drew Fudenberg, 1995. "Word-of-Mouth Communication and Social Learning," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 93-125.
    13. L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
    14. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, Open Access Journal, vol. 1(4), pages 551, November.
    15. Jeffrey C. Ely, 2002. "Local Conventions," Discussion Papers 1349, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    17. Alos-Ferrer, Carlos & Weidenholzer, Simon, 2006. "Imitation, local interactions, and efficiency," Economics Letters, Elsevier, vol. 93(2), pages 163-168, November.
    18. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
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