Problem 1: Concentration. A cigarette industry consists of 4 firms, each producing a differentiated product. As common in the tobacco industries, the prices of the differentiated products are the same at P = 2. The demands Q1, Q2, Q3, Q4 for firms 1, 2, 3, 4 are given by Q1 = 7 – P?, Q2 = 6 – 2P, Q3 = 2 – P/2, and Q4 = 12 – P³. (a) What is the market share of each of the four firms? (b) What is the 3-largest-firm concentration? (c) What is the HHI?

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Problem 1: Concentration. A cigarette industry consists of 4 firms, each producing a
differentiated product. As common in the tobacco industries, the prices of the differentiated
products are the same at P = 2. The demands Q1, Q2, Q3, Q4 for firms 1, 2, 3, 4 are given by
Q1 = 7 – P?, Q2 = 6 – 2P, Q3 = 2 – P/2, and Q4 = 12 – P³.
(a) What is the market share of each of the four firms?
(b) What is the 3-largest-firm concentration?
(c) What is the HHI?
Transcribed Image Text:Problem 1: Concentration. A cigarette industry consists of 4 firms, each producing a differentiated product. As common in the tobacco industries, the prices of the differentiated products are the same at P = 2. The demands Q1, Q2, Q3, Q4 for firms 1, 2, 3, 4 are given by Q1 = 7 – P?, Q2 = 6 – 2P, Q3 = 2 – P/2, and Q4 = 12 – P³. (a) What is the market share of each of the four firms? (b) What is the 3-largest-firm concentration? (c) What is the HHI?
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