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On the Co-Existence of Conventions

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  • Ahmed Anwar

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Abstract

Recent stochastic evolutionary models have shown that the most likely convention when the probability of a mutation is sufficiently small is coordination on the risk-dominant strategy rather than the payoff-dominant one. This paper looks at the consequences of player movement between locations when there are constraints which limit the number of agents who can reside at each location. If the constraints are strong then the risk-dominance result continues to hold. However, we show that when sufficient movement is possible, the most likely outcome involves a mixed state in which agents at different locations coordinate on different strategies. In the asymmetric case, it is the location with the stronger constraint, limiting movement, that coordinates on the payoff-dominant strategy.

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Bibliographic Info

Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 68.

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Length: 35
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:edn:esedps:68

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Keywords: Evolution; Local Interaction; Equilibrium Selection;

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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.
  2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  3. P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
  4. Kandori Michihiro & Rob Rafael, 1995. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 383-414, April.
  5. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  6. 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.
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Cited by:
  1. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, Open Access Journal, vol. 1(4), pages 551-585, November.
  2. Staudigl, Mathias & Weidenholzer, Simon, 2013. "Constrained Interactions and Social Coordination," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79822, Verein für Socialpolitik / German Economic Association.
  3. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
  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, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.

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