1. (When can a purefmixed strategy be evolutionarily stable?) (Evolutionary stability and weak domination) Let as: be an evolutionarily stable action. Does an: necessarily weakly dominate every other action? Is it possible that some action weakly dominates as? [Mixed strategy ESSs] suppose that on: is a mixed E88, and let a be an ac- tion to which (1* assigns positive probability. Show that if 05* assignms positive probability to an action different from a , then (a, a.) is not a pure strategy Nash equilibrium (and hence a is not an ESE)