Suppose the market demand for a product is Q(P) = 120-P. There are no fixed costs of operating in this industry, but there are variable costs VC(Q) = 200. (a) What is a monopolist' profit-maximising quantity Q and profits ? (b) Suppose there are two firms A and B in this industry, with identical costs functions (as above), who are thinking of colluding to maintain the monopoly quantity. What profits would they be able to make if they would split the monopoly quantity equally, i.e. QA = QB=QM/2? (c) Suppose that the firms engage in Cournot competition: Write down each firm's best response function and derive the Nash equilibrium quantities.
Suppose the market demand for a product is Q(P) = 120-P. There are no fixed costs of operating in this industry, but there are variable costs VC(Q) = 200. (a) What is a monopolist' profit-maximising quantity Q and profits ? (b) Suppose there are two firms A and B in this industry, with identical costs functions (as above), who are thinking of colluding to maintain the monopoly quantity. What profits would they be able to make if they would split the monopoly quantity equally, i.e. QA = QB=QM/2? (c) Suppose that the firms engage in Cournot competition: Write down each firm's best response function and derive the Nash equilibrium quantities.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Suppose the market demand for a product is Q(P) = 120 – P. There are no fixed costs
of operating in this industry, but there are variable costs VC(Q) = 200.
(a) What is a monopolist' profit-maximising quantity QM and profits ?
(b) Suppose there are two firms A and B in this industry, with identical costs functions
(as above), who are thinking of colluding to maintain the monopoly quantity. What
profits would they be able to make if they would split the monopoly quantity
equally, i.e. QA = QB=QM/2?
(c) Suppose that the firms engage in Cournot competition: Write down each firm's best
response function and derive the Nash equilibrium quantities.
(d) Is the cartel as described in (b) sustainable if the firms interact only once? Justify
and then interpret your answer.
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