The rate of convergence of continuous fictitious play★

The rate of convergence to Nash equilibrium of continuous fictitious play is determined for a generic set of utilities and initial beliefs in 2 × 2 games. In addition, an example is provided comparing the rate of convergence of discrete fictitious play to the rate for continuous fictitious play. Finally, the convergent dynamic of fictitious play is related to the nonconvergent gradient process dynamic in 2 × 2 games.