Question 1 (50 points): Each of two people has one unit of resource. Each person i = 1, 2 chooses the amount y; _ 1 to use in fighting the other individual. The remaining amount 1 - y; is used for production. If person i = 1, 2 allocates y; to fighting, then the total amount produced is 2 - y1 - y2, and the players obtains a payoff 2 - y1 - y2 if y1 > y2, 71(y1, y2) = 1 - y1 if y1 = y2, 0 if y1 yl, 72 (y1, y2) = 1 - y1 if y1 = y2, O if y2