Walmart Н L' (0, 2) (1, 1) (2,0) НЕВ Н Suppose that Walmart believes with probability i that HEB will play strat- egy H, with probability i that HEB will play L. • Calculate Walmart's expected payoff if Walmart plays any one of its pure strategies. • Calculate Walmart's expected payoff if it chooses to play H' with probability and play L' with probability . Now assume with probability 2 that HEB will play L. HEB will play strategy H, with probability • Calculate Walmart's expected payoff if Walmart plays any one of its pure strategies. • Calculate Walmart's expected payoff if it chooses to play H' with probability and play L' with probability . Is there any strict or weakly dominated strategy for HEB? Try to find all of them. Is there any strict or weakly dominated strategy for Walmart? Try to find all of them.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Problem 7.7P
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Walmart
Н
L'
(0, 2)
(1, 1)
(2,0)
НЕВ
Н
Suppose that Walmart believes with probability i that HEB will play strat-
egy H, with probability i that HEB will play L.
• Calculate Walmart's expected payoff if Walmart plays any one of its
pure strategies.
• Calculate Walmart's expected payoff if it chooses to play H' with
probability and play L' with probability .
Now assume with probability
2 that HEB will play L.
HEB will play strategy H, with probability
• Calculate Walmart's expected payoff if Walmart plays any one of its
pure strategies.
• Calculate Walmart's expected payoff if it chooses to play H' with
probability and play L' with probability .
Is there any strict or weakly dominated strategy for HEB? Try to find all of
them.
Is there any strict or weakly dominated strategy for Walmart? Try to find
all of them.
Transcribed Image Text:Walmart Н L' (0, 2) (1, 1) (2,0) НЕВ Н Suppose that Walmart believes with probability i that HEB will play strat- egy H, with probability i that HEB will play L. • Calculate Walmart's expected payoff if Walmart plays any one of its pure strategies. • Calculate Walmart's expected payoff if it chooses to play H' with probability and play L' with probability . Now assume with probability 2 that HEB will play L. HEB will play strategy H, with probability • Calculate Walmart's expected payoff if Walmart plays any one of its pure strategies. • Calculate Walmart's expected payoff if it chooses to play H' with probability and play L' with probability . Is there any strict or weakly dominated strategy for HEB? Try to find all of them. Is there any strict or weakly dominated strategy for Walmart? Try to find all of them.
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