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(3) Two firms produce the same product. The demand for this product is given by P = 150 - 2Q, where P is the market

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(3) Two firms produce the same product. The demand for this product is given by P = 150 - 2Q, where P is the market price, and Q = q1 + 92 is the total output in the market. Suppose Firm 1 can produce 10, 20, or 30 units for a per-unit cost of $10, while Firm 2 can produce 10, 20 or 30 units for a per-unit cost of $20. The payoff to each firm is given by Ili(qi, qj) = (P - ci)qi. (a) Represent the game in strategic form (matrix). (b) Find all pure-strategy Nash equilibria. (c) Are these equilibria Pareto efficient? Explain

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