Prove the following statement: “If a strategy is strictly dominated in the payoff table of a game…

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.”

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