1. Consider two duopolists who each have a constant marginal cost c₁ =c2 = 3 and face inverse demand P 15-Q,where Q Q1 + Q2 is the total output of both firms. = 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to c₂ =0 while firm 1 still has a marginal cost equal to 1: c₁ =3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Chapter12: Price And Output Determination: Oligopoly
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1. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse
demand P = 15 – Q,where Q = Q1 + Q2 is the total output of both firms.
1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the
profits for each firm.
2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for
each firm supposing that Firm 1 is the industry leader.
3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1
still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium
quantities, price, and profits?
4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities,
price, and profits?
Transcribed Image Text:1. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse demand P = 15 – Q,where Q = Q1 + Q2 is the total output of both firms. 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1 still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?
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