2. In this question, your goal will be to understand whether learning in games is always valuable for players. Consider the following incomplete-information game. First, nature chooses between one of the following two A and B tables, each with probability 0.5: A L R B L R U 0,0 6,-3 U-20,-20 -7,-16 D -3,6 5,5 D -16,-7 -5,-5 Then, players 1 and 2 simultaneously choose U or D and L or R, respectively, and obtain payoffs according to the table chosen by nature. Parts I-III present variations of this game under different assumptions about what players know about nature's move. Part IV. (j) Suppose player 2 does not observe nature's move. Does player 1 benefit from learning about nature's move? Hint: Compare player 1's BNE expected payoff in (f) to that in (c). (k) Suppose player 1 observes nature's move. Does player 2 benefit from learning about nature's move? Hint: Compare player 2's BNE expected payoff in (i) to that in (f).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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2. In this question, your goal will be to understand whether learning in games is always valuable for players. Consider the
following incomplete-information game. First, nature chooses between one of the following two A and B tables, each with
probability 0.5:
A
L
R
B
L
R
U
0,0 6,-3
U-20,-20 -7,-16
D -3,6
5,5
D -16,-7 -5,-5
Then, players 1 and 2 simultaneously choose U or D and L or R, respectively, and obtain payoffs according to the table chosen
by nature. Parts I-III present variations of this game under different assumptions about what players know about nature's
move.
Transcribed Image Text:2. In this question, your goal will be to understand whether learning in games is always valuable for players. Consider the following incomplete-information game. First, nature chooses between one of the following two A and B tables, each with probability 0.5: A L R B L R U 0,0 6,-3 U-20,-20 -7,-16 D -3,6 5,5 D -16,-7 -5,-5 Then, players 1 and 2 simultaneously choose U or D and L or R, respectively, and obtain payoffs according to the table chosen by nature. Parts I-III present variations of this game under different assumptions about what players know about nature's move.
Part IV.
(j) Suppose player 2 does not observe nature's move. Does player 1 benefit from learning about nature's move?
Hint: Compare player 1's BNE expected payoff in (f) to that in (c).
(k) Suppose player 1 observes nature's move. Does player 2 benefit from learning about nature's move?
Hint: Compare player 2's BNE expected payoff in (i) to that in (f).
Transcribed Image Text:Part IV. (j) Suppose player 2 does not observe nature's move. Does player 1 benefit from learning about nature's move? Hint: Compare player 1's BNE expected payoff in (f) to that in (c). (k) Suppose player 1 observes nature's move. Does player 2 benefit from learning about nature's move? Hint: Compare player 2's BNE expected payoff in (i) to that in (f).
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