1. Draw a game tree with three players who choose in sequence; where the 1^st player has four actions (a, b, c, d); the 2^nd player also has four actions (w, x, y, z); and the 3^rd player has two actions (u, v).

Player 2 knows when player 1 chose action b or d, but can't distinguish which of the other two actions were chosen by player 1. Player 3 knows when player 1 chose action a or d, but can't distinguish which of the other two actions chosen by player 1. Player 3 knows when player 2 chose action x or y, but cannot distinguish which of the other two actions were chosen by player 2. Draw the information sets for this case.