Consider the payoff table below that shows the percentage increase in market share for Company A for each combination of Company A and Company B strategies. Assume that Company B implements a mixed strategy by using strategy b2 with probability 0.5 and strategy b3 with probability 0.5. Company B decides never to use strategy b1. What is the expected payoff to Company A under each of its three strategies? If Company B were to always use the stated mixed strategy probabilities, what would the optimal strategy for Company A be?
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Increase
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Company BQuantity
|
Extend
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Advertising
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Discounts
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Warranty
|
b1
|
b2
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b3
|
|
Increase Advertisinga1
|
4
|
3
|
2
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Company A
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Quantity Discountsa2
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-1
|
4
|
1
|
|
Extend Warranty a3
|
5
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-2
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5
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