This question will explore the relationship between strictly dominant strategies and mixed strategy Nash equilibria. a. Give an example (but not one from lecture, textbook, section, or any assignments) of a 2x2 payoff matrix (2 players and 2 strategies per player) where Player 1 has a strictly dominant strategy. Explain. b. Does your matrix from (a) have any mixed-strategy Nash equilibria? Explain. c. Building on your answer to (b): Consider, in general, a 2x2 game where one player has a strictly dominant strategy. Do you think this game will have mixed strategy Nash equilibria (i) always, (ii) sometimes, or (iii) never? Offer an intuitive explanation in 2-4 sentences