2) Two firms, A and B, are each considering developing a new iPhone app. Whichever firm is the first to develop the app wins a patent worth $20 million. Developing a new app requires several...

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Extracted text: 2) Two firms, A and B, are each considering developing a new iPhone app. Whichever firm is the first to develop the app wins a patent worth $20 million. Developing a new app requires several development steps. The firms alternate moves, with A going first, until someone wins the patent. All moves can be seen by the other firm. In each turn, the firm can choose to take 0, 1 or 2 steps. Taking 0 steps costs the firm nothing. Taking 1 step a turn costs the firm $4 million. Taking 2 steps in a turn costs the firm $11 million. Initially each firm is 4 steps away from completing development. Describe and explain what happens in the patent race.