6. Three oligopolists operate in a market with inverse demand given by P(Q) = a - Q, where Q = 9₁ +92 +93 and qi is the quantity produced by firm i. Each firm has a constant marginal cost of production, c, and no fixed cost. The firms choose their quantities as follows: (1) firm 1 chooses q₁ ≥ 0; (2) firms 2 and 3 observe q₁ and then simultaneously choose 92 and 93, respectively. What is the subgame-perfect outcome?

Microeconomic Theory
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ISBN:9781337517942
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Chapter14: Monopoly
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6. Three oligopolists operate in a market with inverse demand given by P(Q) = a - Q,
where Q = 9₁ +92 +93 and q; is the quantity produced by firm i. Each firm has a
constant marginal cost of production, c, and no fixed cost. The firms choose their
quantities as follows: (1) firm 1 chooses q₁ ≥ 0; (2) firms 2 and 3 observe q₁ and then
simultaneously choose q2 and 93, respectively. What is the subgame-perfect outcome?
Transcribed Image Text:6. Three oligopolists operate in a market with inverse demand given by P(Q) = a - Q, where Q = 9₁ +92 +93 and q; is the quantity produced by firm i. Each firm has a constant marginal cost of production, c, and no fixed cost. The firms choose their quantities as follows: (1) firm 1 chooses q₁ ≥ 0; (2) firms 2 and 3 observe q₁ and then simultaneously choose q2 and 93, respectively. What is the subgame-perfect outcome?
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