  We consider an integro-differential model for evolutionary game theory which
describes the evolution of a population adopting mixed strategies. Using a
reformulation based on the first moments of the solution, we prove some
analytical properties of the model and global estimates. The asymptotic
behavior and the stability of solutions in the case of two strategies is
analyzed in details. Numerical schemes for two and three strategies which are
able to capture the correct equilibrium states are also proposed together with
several numerical examples.
