Question

In the game shown below, each player can mover either Up (U) or Down (D). Player 1 moves first, then Player 2, and Player 3 moves last. The payoffs are shown in the order of P1, P2, P3. This question is worth 6 points and there are 3 correct answers. You should select ALL 3 answers if you know them but you can select only 1 answer if you are not sure of ALL of the correct answers. You receive 2 points for each correct answer but lose 2 points for an incorrect answer. You should choose ALL 3 of the correct answers if you know them but it is probably not a good idea to guess at an answer unless you are pretty sure. For example, if you select 1 correct answers and 1 incorrect answer you would receive 2-2 - 0 points for the question. You cannot receive less than 0 points on the question; for example if you select 2 incorrect answers you would receive 0-4 = 0 points for the question. A little game theory for the game theory questions.

U 7,4,1 3 D 1,4,5 N D U 6,3,2 U 3 D 4,3,3 1 U 1,4,6 D 3 U D 6,1,9 2 4,5,4 D U D 2,4,5

A. Player 1 will choose U
B. Player 1 will choose D
C. Player 2 will choose U
D. Player 2 will choose D
E. Player 3 will choose U
F. Player 3 will choose D

Answer 1

In the given game, the correct answers are Player 1 will choose U, Player 2 will choose U, and Player 3 will choose D.

Step-by-step explanation:

In the given game, each player can either move Up (U) or Down (D). Player 1 moves first, then Player 2, and Player 3 moves last. The payoffs are listed in the order of P1, P2, and P3. To determine the correct answers, we need to analyze the game matrix and consider the strategies of each player.

If Player 1 chooses U and Player 2 chooses U, the payoffs are 7, 4, and 1. If Player 1 chooses D and Player 2 chooses U, the payoffs are 6, 3, and 2.

Therefore, the three correct answers are:

1. A. Player 1 will choose U
2. C. Player 2 will choose U
3. F. Player 3 will choose D