Question: Suppose instead that the firms in Problem 9 compete by setting quantities rather than prices. All other facts are the same. It is possible to

Suppose instead that the firms in Problem 9 compete by setting quantities rather than prices. All other facts are the same. It is possible to rewrite the original demand equations as P1 = [150-(2/3)Q2] – (4/3)Q1 and P2= [150 – (2/3)Q1] –(4/3)Q2. In works, increases in the competitor’s output lowers the intercept of the firms’ demand curve.
a. Set MR1=MC to confirm the firm 1”s optimal quantity depends on Q2 according to Q1 = 45-.25Q2. Explain why an increase in one firms’ output tends to “deter” production by the other.
b. In equilibrium, the firms set identical quantities: Find the firms’ equilibrium quantities, prices and profits.
c. Compare the firms’ profits under quantity competition and price competition. Can you provide an intuitive explanation for why price competition is more intense (i.e. leads to lower equilibrium profits)?

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A TR1P1Q1 15023Q2 43Q1Q1 MR1dTR1dQ1 15023Q2 83Q1 Setting MR1MC30 we get 15023Q2 83Q1 30 Rearranging ... View full answer

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