7. (20 points) Consider a game of 2 players, Matt and Andrea. They decide simultaneously about going to a concert or watching a movie at home. If both decide to go to a concert their payoffs are 3 for Matt and 1 for Andrea. If Matt chooses concert and Andrea chooses movie, they get 7 and 0 respectively. If Matt chooses movie and Andrea chooses concert, they get 2 and 4 respectively. If they both choose movie, Andrea gets 3 and Matt gets 5 (a) Show the normal form of the game. (b) What are the dominated strategy for Matt and Andrea? Find all the pure strategy Nash equilibriums? (c) What is the outcome if they can see each others payoffs and can collaborate? Is this outcome a Nash equilibrium? Why