Generalized projection dynamics in evolutionary game theory

We introduce the ray-projection dynamics in evolutionary gametheory by employing a ray projection of the relative fitness (vector)function both locally and globally. By global (local) ray projection wemean a projection of the vector (close to the unit simplex) unto the unitsimplex along a ray through the origin. For these dynamics, we provethat every interior evolutionarily stable strategy is an asymptoticallystable fixed point, and that every strict equilibrium is an evolutionarilystable state and an evolutionarily stable equilibrium.Then, we employ these projections on a set of functions related tothe relative fitness function which yields a class containing e.g., best-response, logit, replicator, and Brown-Von-Neumann dynamics.