Question: Consider the Cournot model with n firms. The inverse linear market demand function is ( = a - bQ. Each of the n identical firms

Consider the Cournot model with n firms. The inverse linear market demand function is ( = a - bQ. Each of the n identical firms has the same cost function C(qi) = Aqi + 1/2 Bqi2, where a > A. In terms of n, what is each firm's Nash equilibrium output and profit and the equilibrium price? As n gets very large (approaches infinity), does each firm's equilibrium profit approach zero? Why?

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