Problem: Suppose the market for computer chips is dominated by two firms: Intel and AMD. Intel has discovered how to make superior chips and is considering whether or not to adopt the new technology. Adoption would entail a fixed setup cost of C but would increase revenues. However, if Intel adopts the new technology, AMD can easily copy it at a lower setup cost of C/2. If Intel adopts and AMD does not, Intel would earn $20 in revenues while AMD would earn $0. If Intel adopts and AMD does likewise, each firm will earn $15 in revenues. If Intel does not adopt the new technology, it will earn $5 and AMD will earn $2.
1) Write this game in extensive form.
2) Under what conditions (i.e., for what values of C) does AMD have an incentive to adopt the new technology if Intel introduces it?
3) If C = 12, should Intel adopt the new technology? Explain