Type out the correct answer ASAP with proper explanation 1.Assume inverse demand of P = 20 - 0.2Q where P is the market price and Q is the market demand. Also assume that there are 2 firms who both have a marginal cost of 2. (a) In a Cournot context, what is the equilibrium price, market quantity, and profit for each firm? (b) In a Bertrand context, what is the equilibrium price, market quantity, and profit for each firm?

Type out the correct answer ASAP with proper explanation 1.Assume inverse demand of P = 20 - 0.2Q where P is the market price and Q is the market demand. Also assume that there are 2 firms who both have a marginal cost of 2. (a) In a Cournot context, what is the equilibrium price, market quantity, and profit for each firm? (b) In a Bertrand context, what is the equilibrium price, market quantity, and profit for each firm?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.4P

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2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 0.5q; the demand function for the firms' output is Q = 1.5 - p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 0.5 (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…
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