Question 9 Player 1 X1 X2 X3 Y1 7,7 6,7 8,6 Player 2 Y2 5,6 10,6 3,10 Oa. There are only pure NEs in this game Ob pl.p2.p3uq1.92.43)-((1/4,2/41/43/4,0,1/411 is a mixed NE O For Player 1, the action X2 is strictly dominated by a mixed strategy Od. (p1.p2.p3l/q1.42.93-12/5.2/5.1/51035,1/5,1/5) is a mixed NE Y3 4,8 2,5 3,8 For the game given above. ((p1.p2.p3).(q1 q2q3j) is a mixed strategy: The first triplet is Player 1's probability allocations to X1, X2, X3. The second triplet is Player 2's probability allocations to Y1, Y2, 13, Which of the following is true?

12. Consider a game where each player picks a number from 0 to 60. The guess that is closest to half ofthe average of the chosen numbers wins a prize. If several peopleare equally close, then they share theprize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers   13. Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30; (C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization.   Can you help me answer number 13 please?

Please no written by hand and no emage

60B- What is the Nash equilibrium for this game and identify the profit each player gets at this solution 5 m