Consider the following sequential game. Wally first chooses L or H. Having observed Wally's choice, Elizabeth chooses between A and F. The payoffs are as follows. If Wally chose L and Elizabeth chose A, the payoffs are 30 to Wally and 20 to Elizabeth. If Wally chose L and Elizabeth F, the payoffs are 40 to Wally and 10 and to Elizabeth. If Wally decides to opt for H and Elizabeth A, the payoffs are 10 and 2 to Wally and Elizabeth, respectively. Finally, if Wally opts for H and Elizabeth F, the payoffs are 35 toWally and 5 to Elizabeth. What is the outcome in the subgame perfect equilibrium of this game? (L,F)

Microeconomic Theory
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Chapter8: Game Theory
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Problem 8.1P
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Consider the following sequential game. Wally first chooses L or H. Having observed Wally's
choice, Elizabeth chooses between A and F. The payoffs are as follows. If Wally chose L and
Elizabeth chose A, the payoffs are 30 to Wally and 20 to Elizabeth. If Wally chose L and Elizabeth F,
the payoffs are 40 to Wally and 10 and to Elizabeth. If Wally decides to opt for H and Elizabeth A,
the payoffs are 10 and 2 to Wally and Elizabeth, respectively. Finally, if Wally opts for H and
Elizabeth F, the payoffs are 35 toWally and 5 to Elizabeth. What is the outcome in the subgame
perfect equilibrium of this game?
(L,F)
(H,A)
(H,F) and (L,F)
(L,A) and (H,F)
(H,F)
Transcribed Image Text:Consider the following sequential game. Wally first chooses L or H. Having observed Wally's choice, Elizabeth chooses between A and F. The payoffs are as follows. If Wally chose L and Elizabeth chose A, the payoffs are 30 to Wally and 20 to Elizabeth. If Wally chose L and Elizabeth F, the payoffs are 40 to Wally and 10 and to Elizabeth. If Wally decides to opt for H and Elizabeth A, the payoffs are 10 and 2 to Wally and Elizabeth, respectively. Finally, if Wally opts for H and Elizabeth F, the payoffs are 35 toWally and 5 to Elizabeth. What is the outcome in the subgame perfect equilibrium of this game? (L,F) (H,A) (H,F) and (L,F) (L,A) and (H,F) (H,F)
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