a)"When a game has a mixed-strategy equilibrium, a player's mixed strategy is designed to yield her the same expected payoff when used against each of the other player's pure strategies." True or false? Explain your answer and give an example of a game that illustrates your answer.

b)"Consider a strategic game with finite actions. Suppose one of Player 1's actions is weakly dominated. If we delete this row from the matrix, the matrix that remains has the same set of pure Nash equilibria as the original matrix." True or false? Explain your answer and give an example of a game that illustrates your answer.

c)"In a strategic game, a weakly dominated strategy can be played in a weak Nash Equilibrium." True or false? Explain your answer and give an example of a game that illustrates your answer.