nswer the given question with a proper explanation and step-by-step solution. Three firms produce identical products and compete in a market where the inverse demand function is P(q1, q2, q3) = 78 − q1− q2− q3. Each has a per-unit cost of 14 and zero fixed cost. They simultaneously choose quantities. In scenario (a), find the Nash equilibrium of this game and let A = firm 2's profit in the Nash equilibrium. In scenario (b), assume that the firms form a cartel, i.e., they act as a monopoly and split the profit evenly. If the total quantity produced by the cartel is Q, then the inverse demand is P(Q) = 78 - Q. Let B = firm 2's profit in the cartel. Calculate the value of A - B and enter your answer in the box below. Please round your answer to 3 decimal places (e.g., write 4/3 as 1.333).

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Answer the given question with a proper explanation and step-by-step solution.

Three firms produce identical products and compete in a market where the inverse demand function is P(q1, q2, q3) = 78 − q1− q2− q3. Each has a per-unit cost of 14 and zero fixed cost. They simultaneously choose quantities.

In scenario (a), find the Nash equilibrium of this game and let A = firm 2's profit in the Nash equilibrium.

In scenario (b), assume that the firms form a cartel, i.e., they act as a monopoly and split the profit evenly. If the total quantity produced by the cartel is Q, then the inverse demand is P(Q) = 78 - Q. Let B = firm 2's profit in the cartel.

Calculate the value of A - B and enter your answer in the box below. Please round your answer to 3 decimal places (e.g., write 4/3 as 1.333).

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