2. For this game below (Players are P with a subscript; capital letters are possible choices at each node, and lower case letters are there to identify nodes to help in answering), write out: (a) All of Player 3's possible strategies. (b) All subgame perfect equilibria PI UP DOWN L Ps/ (2, 6, 1) (5, 3, 5) Y Y Py/ Pa L R L R L R L R (6, 4,2) (4,3,3) (4, 4,3) (4,5,1) (6,5,3) (1, 6, 4) (5,2,5) (1,2,1)