We consider a model of evolution with mutations as in Kandori et al. (1993) [Kandori, M., Mailath, G.J., Rob, R., 1993. Learning, mutation, and long run equilibria in games. Econometrica 61, 29–56], where agents follow best-response decision rules as in Sandholm (1998) [Sandholm, W., 1998....

When the strategy set of a game is a continuum, its discretization may not conserve local properties even for arbitrarily fine strategy grids. This paper provides two technical lemmata which are useful to deal with these problems in particular contexts. Four applications are presented, regarding...