Suppose I am teaching a class and the test comes and goes with two students missing. 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 flat tire, so they were late. Out of immense generosity I allow them to take the final. I put them in separate rooms and distribute the test. The testis the same for both students and consists of 1 question: Which tire went flat? 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. .