For the following situation, come up with a game (in normal form – the matrix representation we have been using) to describe the situation. Determine the pure strategy Nash equilibria. a. Two gentlemen are engaged in a duel. They each have two choices: shoot straight (to try to kill the other) or duck (to try to avoid being killed). If they both shoot straight, they both die; if they both duck, they live, but both lose some "face". If one ducks and one shoots straight, they both live, but the one who shoots earns "honor" and "respect" from his peers, while the one who ducks loses "face" and is branded a coward. Shooting and living gives a higher reward than ducking and living, regardless of what the other person does.