1. The market demand curve for mineral water is given by P = 15 - Q. If there are two firms that produce mineral water, each with a constant marginal cost of 3 per unit, fill in the entries for each of the four duopoly models indicated in the table. (In the Stackelberg model, assume that firm 1 is the leader.) (LO2) Model Q₂ Q₁ + Q₂ P II, II₂ II, + II₂

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Chapter13: best-practice Tactics: Game Theory
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1. The market demand curve for mineral water is given by P = 15 - Q. If there
are two firms that produce mineral water, each with a constant marginal cost
of 3 per unit, fill in the entries for each of the four duopoly models indicated in
the table. (In the Stackelberg model, assume that firm 1 is the leader.) (LO2)
II, II₂ II, + II₂
Q₁ Q₂ Q₁ + Q₂
Model
Shared monopoly
Cournot
Bertrand
Stackelberg
P
2. The market demand curve for a pair of Cournot duopolists is given as P = 36-
3Q, where Q = Q₁ + Q₂. The constant per unit marginal cost is 18 for each
duopolist. Find the Cournot equilibrium price, quantity, and profits. (LO2)
3. Solve the preceding problem for Bertrand duopolists. (LO2)
Transcribed Image Text:1. The market demand curve for mineral water is given by P = 15 - Q. If there are two firms that produce mineral water, each with a constant marginal cost of 3 per unit, fill in the entries for each of the four duopoly models indicated in the table. (In the Stackelberg model, assume that firm 1 is the leader.) (LO2) II, II₂ II, + II₂ Q₁ Q₂ Q₁ + Q₂ Model Shared monopoly Cournot Bertrand Stackelberg P 2. The market demand curve for a pair of Cournot duopolists is given as P = 36- 3Q, where Q = Q₁ + Q₂. The constant per unit marginal cost is 18 for each duopolist. Find the Cournot equilibrium price, quantity, and profits. (LO2) 3. Solve the preceding problem for Bertrand duopolists. (LO2)
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