Two firms, Incumbent & Entrant, can produce the same good. The market demand for the good is given by P = 180 – Q, where P is the market price and Q is the market quantity demanded. The firms must pay w = 45 per unit of output for labour and r = 45 per unit of output for capital (one unit of capital is used per unit of output), but Incumbent may choose capacity KI units of capital before Entrant decides whether to enter the market. Suppose firms each have fixed costs FI =600, FE=500. Incumbent chooses (as a Stackelberg leader) capacity KI equal to the monopoly profit- maximizing quantity. When you answer the following questions, show your work. a. Would Incumbent be able to prevent entry by choosing capacity KI equal to the monopoly profit-maximizing quantity? Explain. b. What is the Incumbent’s equilibrium choice of capacity KI in this Dixit game? c. Does the Incumbent’s choice of capacity KI in part (b) qualify as predatory conduct (here, limit output)? Explain.
Two firms, Incumbent & Entrant, can produce the same good. The market demand for the good is given by P = 180 – Q, where P is the market price and Q is the market quantity demanded. The firms must pay w = 45 per unit of output for labour and r = 45 per unit of output for capital (one unit of capital is used per unit of output), but Incumbent may choose capacity KI units of capital before Entrant decides whether to enter the market. Suppose firms each have fixed costs FI =600, FE=500. Incumbent chooses (as a Stackelberg leader) capacity KI equal to the monopoly profit- maximizing quantity. When you answer the following questions, show your work. a. Would Incumbent be able to prevent entry by choosing capacity KI equal to the monopoly profit-maximizing quantity? Explain. b. What is the Incumbent’s equilibrium choice of capacity KI in this Dixit game? c. Does the Incumbent’s choice of capacity KI in part (b) qualify as predatory conduct (here, limit output)? Explain.
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.3P
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Two firms, Incumbent & Entrant, can produce the same good. The market demand for the good is given by P = 180 – Q, where P is the market price and Q is the market quantity demanded. The firms must pay w = 45 per unit of output for labour and r = 45 per unit of output for capital (one unit of capital is used per unit of output), but Incumbent may choose capacity KI units of capital before Entrant decides whether to enter the market. Suppose firms each have fixed costs FI =600, FE=500. Incumbent chooses (as a Stackelberg leader) capacity KI equal to the monopoly profit- maximizing quantity. When you answer the following questions, show your work.
a. Would Incumbent be able to prevent entry by choosing capacity KI equal to the monopoly profit-maximizing quantity? Explain.
b. What is the Incumbent’s equilibrium choice of capacity KI in this Dixit game?
c. Does the Incumbent’s choice of capacity KI in part (b) qualify as predatory conduct (here, limit output)? Explain.
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