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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. 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).

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
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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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