(Stackelberg model) In a duopoly industry, there are only two firms, firm 1 is the industry leader, while firm 2 is the follower. Firm 1's cost function is: C, = 1.2q{ + 2, firm 2's cost function is: C2 = 1.5g3 + 8. The market demand function is: P = 100 -Y . In a typical Stackelberg model setting, firm 1 makes its production decision first, then firm 2 makes its own decision. a. Given any q1, what is firm 2's best response/rection function? b. Given firm 2's best response function, what is firm 1's best production decision? What is the Stackelberg equilibrium? C.

Principles of Microeconomics
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Chapter17: Oligopoly
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3. (Stackelberg model) In a duopoly industry, there are only two firms, firm 1 is the
industry leader, while firm 2 is the follower. Firm 1's cost function is: C, = 1.2q% + 2,
firm 2's cost function is: C, = 1.5g3 + 8. The market demand function is: P = 100 - Y.
In a typical Stackelberg model setting, firm 1 makes its production decision first, then
firm 2 makes its own decision.
Given any q1, what is firm 2's best response/rection function?
b. Given firm 2's best response function, what is firm 1's best production decision?
What is the Stackelberg equilibrium?
а.
C.
Transcribed Image Text:3. (Stackelberg model) In a duopoly industry, there are only two firms, firm 1 is the industry leader, while firm 2 is the follower. Firm 1's cost function is: C, = 1.2q% + 2, firm 2's cost function is: C, = 1.5g3 + 8. The market demand function is: P = 100 - Y. In a typical Stackelberg model setting, firm 1 makes its production decision first, then firm 2 makes its own decision. Given any q1, what is firm 2's best response/rection function? b. Given firm 2's best response function, what is firm 1's best production decision? What is the Stackelberg equilibrium? а. C.
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