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Consider the following sequential game between firm 1 and firm 2. First, firm 1 decides to adopt either technology A or technology B. Firm 2 observes firm 1's decision and then also decides between technology A or technology B. The profits (in thousands of dollars) of the firms are as follows. If both adopt technology A, then firm 1's payoff is $100 and firm 2's is $40. If firm 1 adopts technology A and firm 2 adopts technology B, then the payoff of each firm is $50. If firm 1 adopts technology B and firm 2 adopts technology A, firm 1's payoff is $60 and firm 2's is $100. Finally, if both adopt technology B, then each firm makes $25 in profits. Using the principle `look ahead and reason back' (i.e., backward induction), the most reasonable prediction is
a) that both firms will adopt technology A
b) that firm 1 will adopt technology A and firm 2 will adopt technology B
c) that both firms will adopt technology B.
d) that firm 1 will adopt technology B and firm 2 will adopt technology A
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