to Evaluate this statement: \"All Nash equilibria are dominant strategy equilibria, but not all dominant strategy equilibria are Nash equilibria.\" Evaluate this statement: \"The mutually preferred outcome in a prisoner's dilemma is the Nash Equlibrium.\" Please provide a unique and original example of a prisoner's dilemma You are NOT allowed to use an example from class. discuss possible examples. or just lift one from the internet. Explain the game. draw out the payoff matrix, and discuss the equilibrium and the nature of the dilemma within the context of your problem. Suppose (completely hypothetical) I am teaching a class and the final exam comes and goes with two students missing the (in-class) exam. After it is over, the two students come to me with a story that they were returning to campus and the car they were in got a at tire, so they were late. Out of immense generosity I allow them to take the nal. I put them in separate rooms and distribute the final exam. The exam is the same for both students and consists of 1 question: Which tire went at? If their answers are identical then they each receive 100 points. but if their answers differ they then receive 0 points each. Draw out the payoff matrix of this game and define all NE