Simple and clever decision rules for a model of evolution

Under the decision rule specified by Kandori, Mailath, and Rob (1993) [Kandori, M., Mailath, G.J., Rob, R., 1993. Learning, mutation, and long run equilibria in games. Econometrica 61, 29–56], myopic adjustment can lead to surprising results, including coordination on strictly dominated strategies. We show that under an alternative decision rule, convergence to Nash equilibrium is guaranteed. Moreover, if rare mutations are introduced, risk dominant equilibria always correspond to long run equilibria.