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Local Conventions

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  • Jeffrey C. Ely

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.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1349.

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Date of creation: 2002
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Handle: RePEc:nwu:cmsems:1349

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Keywords: stochastic evolution; local interaction; mobility;

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Cited by:
  1. Levine, David K. & Modica, Salvatore, 2013. "Anti-Malthus: Conflict and the evolution of societies," Research in Economics, Elsevier, vol. 67(4), pages 289-306.
  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. Michael Kosfeld, . "Network Experiments," IEW - Working Papers 152, Institute for Empirical Research in Economics - University of Zurich.
  4. Carlos Alós-Ferrer & Simon Weidenholzer, 2010. "Imitation and the Role of Information in Overcoming Coordination Failures," Vienna Economics Papers 1008, University of Vienna, Department of Economics.
  5. Hsiao-Chi Chen & Yunshyong Chow & Li-Chau Wu, 2013. "Imitation, local interaction, and coordination," International Journal of Game Theory, Springer, vol. 42(4), pages 1041-1057, November.
  6. Kevin Hasker, 2004. "The Emergent Seed : Simplifying the Analysis of Dynamic Evolution," Departmental Working Papers 0406, Bilkent University, Department of Economics.
  7. Larson, Nathan, 2004. "Match choice and Ghettoization in evolutionary games," Journal of Economic Theory, Elsevier, vol. 117(1), pages 1-28, July.
  8. 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.
  9. 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.
  10. Salomonsson, Marcus, 2009. "Group Selection: The quest for social preferences," Working Paper Series in Economics and Finance 712, Stockholm School of Economics.
  11. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
  12. Neary, Philip R., 2012. "Competing conventions," Games and Economic Behavior, Elsevier, vol. 76(1), pages 301-328.
  13. Man, Priscilla T.Y., 2012. "Efficiency and stochastic stability in normal form games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 272-284.
  14. 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.
  15. 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.
  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. David K Levine & Salvatore Modica, 2011. "Anti-Malthus: Conflict and the Evolution of Societies," Levine's Bibliography 786969000000000148, UCLA Department of Economics.

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