We often phrase "staying silent" as cooperating (with the other prisoner) and "betraying" as defecting, since this language is more common. (a) (5 points) Model this situation as a strategic game, being careful to explain your choices. (b) (3 points) What is the ordering of the payoffs implied by the story above? (c) (5 points) Draw the matrix representation of this game. (d) (2 points) What is the Nash equilibrium of this game? (e) (5 points) Recall, from microeconomics, that we define an outcome as Pareto effi- cient if you cannot find another outcome with makes both players at least as well off, and one player strictly better off. Which outcomes in the Prisoner's Dilemma are Pareto efficient? Is the Nash equilibrium outcome Pareto efficient? (f) (5 points) Does the behaviour in this game depend on the payoffs being the same across Player 1 and Player 2? Explain your