13.17. Consider a market in which the market demand curve is given by P = 18 - X - Y, where X is Firm 1's output, and Y is Firm 2's output. Firm 1 has a marginal cost of 3, while Firm 2 has a marginal cost of 6. a) Find the Cournot equilibrium outputs in this market. How much profit does each firm make? b) Find the Stackelberg equilibrium in which Firm 1 acts as the leader. How much profit does each firm make?

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13.17. Consider a market in which the market demand curve is given by P = 18 - X - Y,
where X is Firm 1's output, and Y is Firm 2's output. Firm 1 has a marginal cost of 3,
while Firm 2 has a marginal cost of 6.
a) Find the Cournot equilibrium outputs in this market. How much profit does each firm
make?
b) Find the Stackelberg equilibrium in which Firm 1 acts as the leader. How much
profit does each firm make?
Transcribed Image Text:13.17. Consider a market in which the market demand curve is given by P = 18 - X - Y, where X is Firm 1's output, and Y is Firm 2's output. Firm 1 has a marginal cost of 3, while Firm 2 has a marginal cost of 6. a) Find the Cournot equilibrium outputs in this market. How much profit does each firm make? b) Find the Stackelberg equilibrium in which Firm 1 acts as the leader. How much profit does each firm make?
Expert Solution
Step 1

Given;

Market demand curve; P=18-X-Y

where:-

X= Firm 1's output

Y= Firms 2's output

Firm 1' s marginal cost; MC1=3

Firm 2's marginal cost; MC2=6

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