Prove the following statement: “If a strategy is strictly dominated in the payoff table of a game played by rational players, then in the evolutionary version of the same game it will die out, no...

Prove the following statement: “If a strategy is strictly dominated in the payoff table of a game played by rational players, then in the evolutionary version of the same game it will die out, no matter what the initial population mix. If a strategy is weakly dominated, it may coexist with some other types but not in a mixture of all types.”