There are two firms A and B. Firms compete in a Cournot Duopoly in Karhide. They set quantities qA and qB. Inverse demand is P(qA + qB) = 18 − qA − qB and costs are C(q) = 3 ∗ q for both firms. Firm B is a domestic firm (in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B produces and sells qB units, firm B receives a payment of s ∗ qB from the government.) (d) Solve for the equilibrium outputs (q∗A, q∗b). (e) Solve for the equilibrium price. (f) Solve for firm B profits.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.5P
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There are two firms A and B. Firms compete in a Cournot Duopoly in Karhide. They set quantities qA and qB. Inverse demand is P(qA + qB) = 18 − qA − qB and costs are C(q) = 3 ∗ q for both firms. Firm B is a domestic firm (in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B produces and sells qB units, firm B receives a payment of s ∗ qB from the government.)

(d) Solve for the equilibrium outputs (q∗A, q∗b).
(e) Solve for the equilibrium price.
(f) Solve for firm B profits.

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