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5. In the Cournot model we did in class with two firms (q, and q, being the amounts produced by the two firms) the best
5. In the Cournot model we did in class with two firms (q, and q, being the amounts produced by the two firms) the best response of firm 1 to q2 being firm 2's conjectured production is given by q1 = (3 -92)/2 or, rewriting, 2q1 + 92 = 3. Writing a similar expression for Player 2, we obtained q1 = q2 = 1 as the unique Nash equilibrium. If there are n firms in the market, the best response of firm 1 to 92, 93, .....; In can be calculated by choosing q1 to maximise {4 - (91 + 92 + 93.... + 9n) - 1}91 giving 291 + 92 + ..... + 9n = 3. Setting all the q equal, what is the Nash equilibrium, say, for n=5? What is the equilibrium price? Is (price-marginal cost) greater for n=5 than for n=2
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