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## 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?

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.

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