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Assume market demand is given by P=a-Q. Suppose there are two firms (1 and 2) that engage in Cournot competition. Firm 1's marginal cost of production is 1 while firm 2's marginal cost of production is c.
a. Calculate firms' production levels and profits.
b. Calculate the Herfindahl index of market concentration when market shares are measured as production shares. The Herfindahl index is a function of c. When is the Herfindahl index increasing in c? Decreasing in c?
c. Suppose a=14 and c=3. For what discount factors can collusion be sustained in which q1 = 4 and q2 =2?
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Ralph's Travel Agency had accounting profits of $50,000 and implicit costs of $30,000. What were economic profits?
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Suppose the demand for car washes in Collegetown falls as a result of a cutback in college enrollment. Show graphically how the price and output for the market and for a single firm will be affected in the short run and in the long run.
W(sub)a= 1/a1(Y1)+1/a2(Y2)+1/a3(Y3)+1/a4(Y4) where a(i) are the constants. a) What restriction on the ai is needed for Wa to be an unbiased estimator of mu? b) Find the variance of Wa.
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