[問題] 成大管理經濟學---賽局理論
P14.3 Dominant Strategies
Conceive of two competitors facing important strategic decisions where the
payoff to each decision depends upon the reactions of the competitor. Firm A
can choose either row in the payoff matrix defined below, whereas firm B
can choose either column. For firm A the choice is either “up” or “down”,
for firm B the choice is either “left” or “right”. Notice that neither
firm can unilaterally choose a given cell in the profit payoff matrix.
The ultimate result of this one-shot, simultaneous-move game depends upon
the choices made by both competitors. In this payoff matrix, strategic
decisions made by firm A or firm B could signify decisions to offer a
money-back guarantee, lower prices, offer free shopping, and so on.
The first number in each cell is the profit payoff to firm A; the second
number is the profit payoff to firm B.
Firm B
Competitive Strategy Left Right
Firm A Up $5 million,$10 million $7.5 million, $4 million
Down $1 million, $3.5 million $5 million, $5 million
A.Is there a dominant strategy for firm A? If so, what is it?
B.Is there a dominant strategy for firm B? If so, what is it?
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