In: Economics
Given the Demand function from Part 1: D(p) = 64 2p , The monopolist's cost is equal to C(Q) = Q2 + 2Q:
PART II. Now take the same demand function as in Part I but imagine that the market has two firms instead of 1. Also assume that the marginal cost of each firm is equal to 4. Market structure is therefore characterized as a duopoly. Suppose that firms compete by choosing their output levels simultaneously.
(14) (2 points) Write down the profit expressions of Firms 1 and
2.
(15) (4 points) Derive the best-response functions of Firms 1 and
2.
(16) (3 points) Plot the best-response functions of Firms 1 and
2.
(17) (2 points) Find the output choice of each firm. Show it on the
graph you drew in (17). For 18-19, first state if the statement is
True or False. Then, give a brief explanation.
(18) (3 points) Oligopolies create less deadweight loss than
monopolies.
(19) (3 points) Consider a duopoly where firms compete by choosing
quantities one after the other. The firm which makes its output
choice first, enjoys more profits as it can set a higher price.