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Consider n > 1 symmetric firms that compete by simultaneously setting quantities (Cournot style). Assume that the market demand curve y = 36 - p, and that the marginal cost is c; = 6 for all i. (a) How many subgames are there? (b) Find the symmetric NE of the above game. What is the payoff (profit) of a representative firm? (c) Show what happens to (i) the equilibrium market quantity, (ii) the equilibrium market price, and (iii) the equilibrium individual firm profit as the number of firms approaches infinity. Explain the intuition behind the results