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Oligopoly

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CHAPTER 13
GAME THEORY AND COMPETITIVE STRATEGY

EXERCISES

3. Two computer firms, A and B, are planning to market network systems for office information management. Each firm can develop either a fast, high-quality system (High), or a slower, low-quality system (Low). Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix:

| | |Firm B |
| | |High |Low |
| |High |50, 40 |60, 45 |
| | | | |
|Firm A | | | |
| |Low |55, 55 |15, 20 |

a. If both firms make their decisions at the same time and follow maximin (low-risk) strategies, what will the outcome be?

With a maximin strategy, a firm determines the worst outcome for each action, then chooses the action that maximizes the payoff among the worst outcomes. If Firm A chooses High, the worst payoff would occur if Firm B chooses High: A’s payoff would be 50. If Firm A chooses Low, the worst payoff would occur if Firm B chooses Low: A’s payoff would be 15. With a maximin strategy, A therefore chooses High. If Firm B chooses Low, the worst payoff would be 20, and if B chooses High, the worst payoff would be 40. With a maximin strategy, B therefore chooses High. So under maximin, both A and B produce a high-quality system.

b. Suppose that both firms try to maximize profits, but that Firm A has a head start in planning and can commit first. Now what will be the outcome? What will be the outcome if Firm B has the head start in

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