5. Gi-hun and Il-nam are playing a game. Each player has two possible strategies: odd or even. If both choose odd or if both choose even, Gi-hun gets a payoff of -1, and Il-nam gets a payoff of 1. However, if either player chooses even while the other chooses odd, then Gi-hun gets a payoff of 1, and Il-nam gets a payoff of -1. a. Write down the normal (matrix) form of this game. (4 points) b. Does either player have a dominant strategy? Explain your answer. (2 points) c. Does this game have a Nash equilibrium in pure strategies? Either find one or explain why none exists. (3 points) d. Does this game have a mixed strategy Nash equilibrium? Either find one or explain why none exists. (6 points)