(2) (Assume that s = 0 (there is no subsidy.) (a) Write down firm A’s profit function. (No work required.) (b) Find each firm’s best response function. (You may do this directly or by setting s to zero in your expressions from (1b). (c) Solve for equilibrium outputs (q*A, q*B). You may either use the symmetry in this problem to assume a symmetric solution, or solve for firm B’s best response and solve the two best responses simultaneously.  (d) Solve for the equilibrium price. (e) Solve for the equilibrium profits.

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(2) (Assume that s = 0 (there is no subsidy.)
(a) Write down firm A’s profit function. (No work required.)
(b) Find each firm’s best response function. (You may do this directly or by setting s to zero in
your expressions from (1b).
(c) Solve for equilibrium outputs (q*A, q*B). You may either use the symmetry in this problem to
assume a symmetric solution, or solve for firm B’s best response and solve the two best responses
simultaneously. 
(d) Solve for the equilibrium price.
(e) Solve for the equilibrium profits.

All question are with regards to the following set up. 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)
(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.)
You must show your work at each step, unless the questions is followed by "No work required."
3 * q for both firms. Firm B is a domestic firm
Transcribed Image Text:All question are with regards to the following set up. 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) (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.) You must show your work at each step, unless the questions is followed by "No work required." 3 * q for both firms. Firm B is a domestic firm
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