Three firms share a market. The demand function is P(q1, 42, 93) = 10 – q1 - 2 – 3, where q; is the output of firm i, Player i. The marginal cost per unit for each firm is zero. Suppose firm 1 is a market leader, and that firm 2 is a middle leader, choosing qp after observing q1, but before firm 3 chooses its quantity. Firm 3 is the market follower, choosing q3 last. Find the SPE of this game. How much is produced by firm 1? Numerical answer How much is produced by firms 2 & 3?

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Three firms share a market. The demand function is P(q1, 42, 93) = 10 – q1 - 2 – 3, where q; is the output of firm i,
Player i. The marginal cost per unit for each firm is zero. Suppose firm 1 is a market leader, and that firm 2 is a middle leader,
choosing qp after observing q1, but before firm 3 chooses its quantity. Firm 3 is the market follower, choosing q3 last. Find the
SPE of this game. How much is produced by firm 1?
Numerical answer
How much is produced by firms 2 & 3?
Transcribed Image Text:Three firms share a market. The demand function is P(q1, 42, 93) = 10 – q1 - 2 – 3, where q; is the output of firm i, Player i. The marginal cost per unit for each firm is zero. Suppose firm 1 is a market leader, and that firm 2 is a middle leader, choosing qp after observing q1, but before firm 3 chooses its quantity. Firm 3 is the market follower, choosing q3 last. Find the SPE of this game. How much is produced by firm 1? Numerical answer How much is produced by firms 2 & 3?
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