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Learning, Mutation, And Long Run Equilibria In Games

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  • Kandori, M.
  • Mailath, G.J.

Abstract

An evolutionary model with a finite number of players and with stochastic mutations is analyzed. The expansion and contraction of strategies is linked to their current relative success, but mutuation, perturbing the system from its deterministic evolution, are present as well. The focus is on the long run implications of ongoing mutations, which drastically reduce the set of equilibria. For 2 by 2 symmetric games with two symmetric strict Nash equilibria the risk dominant equilibrium is selected. In particular, if both strategies have equal security levels, the Pareto dominant Nash equilibrium is selected. In particular, if both strategies have equal security levels, the Pareto dominant Nash equilibrium is selected, even though there is another strict Nash equilibrium. Copyright 1993 by The Econometric Society.
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Suggested Citation

  • Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  • Handle: RePEc:fth:priwol:71
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    1. Metcalf, Gilbert E, 1990. "Arbitrage and the Savings Behavior of State Governments," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 390-396, August.
    2. Metcalf, Gilbert E., 1993. "Federal taxation and the supply of state debt," Journal of Public Economics, Elsevier, pages 269-285.
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