1. (Harder) Jack's utility function is given by u(x, y1, y2) = y172 + xy1 - yi - 7. Bobby's utility function is given by u()1, y2) = -(y1 - y2)2. The game is played in the following manner. First, Jack selects a number x 2 0. Then, simultaneously and independently, Jack and Bobby select numbers y, and y2 respectively. Find the backward induction outcome of the game