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Exercise 10.1-2: Sequential Move Game with Three Firms There are three firms selling an identical product. The market-clearing price is p(q) = 0 - 91 -92 -93. Firm i has a unit cost c that is private information. Unit costs are independently distributed with support I C[0, a]. Each firm's cost is private information. Firm 1 chooses its output and this is observed by firm 2, which then chooses q2. Firm 3 observes both q, and q2 and then chooses 93. (a) Solve for the Nash equilibrium without making the common knowledge assumption. (b) Compare the choice of firm I with its choice when there is common knowledge about the distribution of unit costs