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Local Conventions

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  • Ely Jeffrey C

    () (Economics Department, Northwestern University)

Abstract

It is shown that player mobility has important consequences for the long-run equilibrium distribution in dynamic evolutionary models of strategy adjustment, when updating is prone to small probability perturbations, i.e. “mistakes" or “mutations." Ellison (1993) concluded that the effect on the matching process of localized “neighborhoods" was to strengthen the stability of risk-dominant outcomes, originally demonstrated by Kandori, Mailath, and Rob (1993) (KMR) and Young (1993). I consider a model in which players can choose the neighborhoods to which they belong. When strategies and locations are updated simultaneously, only efficient strategies survive. The robustness of this conclusion is emphasized in a general locational model in which strategy revision opportunities are allowed to arrive at a faster rate than opportunities to change locations. The efficient strategy persists in all cases in which the locational structure is non-trivial. Moreover, even as the relative frequency of player mobility approaches zero, the efficient strategy occurs with boundedly positive relative frequency. This result is in stark contrast to the conclusions of the previous models.

Suggested Citation

  • Ely Jeffrey C, 2002. "Local Conventions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-32, May.
    • Handle: RePEc:bpj:bejtec:v:advances.2:y:2002:i:1:n:1
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    References listed on IDEAS

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    1. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
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    1. repec:spr:joecth:v:64:y:2017:i:3:d:10.1007_s00199-016-1002-3 is not listed on IDEAS
    2. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
    3. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    4. Matros, Alexander & Moser, Scott, 2015. "Coordination in a changing environment," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 64-84.
    5. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications, Elsevier.
    6. Levine, David K. & Modica, Salvatore, 2013. "Anti-Malthus: Conflict and the evolution of societies," Research in Economics, Elsevier, vol. 67(4), pages 289-306.
    7. Conley, John P. & Neilson, William S., 2013. "Endogenous coordination and discoordination games: Multiculturalism and assimilation," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 176-191.
    8. Ennio Bilancini & Leonardo Boncinelli, 2015. "Social coordination with locally observable types," Department of Economics 0051, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    9. Fei Shi, 2015. "Long-run technology choice with endogenous local capacity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 377-399, June.
    10. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    11. Michael Kosfeld, "undated". "Network Experiments," IEW - Working Papers 152, Institute for Empirical Research in Economics - University of Zurich.
    12. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    13. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    14. Hsiao-Chi Chen & Yunshyong Chow & Li-Chau Wu, 2013. "Imitation, local interaction, and coordination," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 1041-1057, November.
    15. Salomonsson, Marcus, 2009. "Group Selection: The quest for social preferences," SSE/EFI Working Paper Series in Economics and Finance 712, Stockholm School of Economics.
    16. Hojman, Daniel A. & Szeidl, Adam, 2006. "Endogenous networks, social games, and evolution," Games and Economic Behavior, Elsevier, vol. 55(1), pages 112-130, April.
    17. Larson, Nathan, 2004. "Match choice and Ghettoization in evolutionary games," Journal of Economic Theory, Elsevier, vol. 117(1), pages 1-28, July.
    18. Ellison, Glenn & Fudenberg, Drew & Imhof, Lorens A., 2016. "Fast convergence in evolutionary models: A Lyapunov approach," Journal of Economic Theory, Elsevier, vol. 161(C), pages 1-36.
    19. Neary, Philip R., 2012. "Competing conventions," Games and Economic Behavior, Elsevier, vol. 76(1), pages 301-328.
    20. Francesco Feri & Miguel Meléndez-Jiménez, 2013. "Coordination in evolving networks with endogenous decay," Journal of Evolutionary Economics, Springer, vol. 23(5), pages 955-1000, November.
    21. Cui, Zhiwei & Zhai, Jian, 2010. "Escape dynamics and equilibria selection by iterative cycle decomposition," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1015-1029, November.
    22. Ennio Bilancini & Leonardo Boncinelli, 2014. "Social coordination with locally observable types," Center for Economic Research (RECent) 108, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
    23. Jonas Hedlund, 2015. "Imitation in Cournot oligopolies with multiple markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 567-587, November.
    24. Man, Priscilla T.Y., 2012. "Efficiency and stochastic stability in normal form games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 272-284.
    25. repec:eee:dyncon:v:82:y:2017:i:c:p:165-175 is not listed on IDEAS

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