Consider a duopoly market with 2 firms. Aggregate demand in this market is given by- Q = 500 – P," where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where Qa is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MC = 20, i=A.B. « Assume the firms compete a la Cournot. « a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by - MRA=500-2QA-QB,+ MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market? t t t t

Consider a duopoly market with 2 firms. Aggregate demand in this market is given by- Q = 500 – P," where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where Qa is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MC = 20, i=A.B. « Assume the firms compete a la Cournot. « a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by - MRA=500-2QA-QB,+ MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market? t t t t

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.1P

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Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?
Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. 2.Describe what a best-response curve is and how to find it. 3. Derive the best-response function for each firm. 4. What are the equilibrium quantities? 5. What is the total quantity supplied on this market? 6. What is the equilibrium price in this market?
Consider a duopoly market with 2 firms. Aggregate demand in this market is given byQ = 500 – P,where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. a)Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB,MRB=500-QA-2QB. b)Describe what a best-response curve is and how to find it. c)Derive the best-response function for each firm. hi, can you answer part a.b,c please. If possible, please answer this question in typing as i can't read hand -written answers, thanks
Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market? **if possible, please answer my questions in typing as its hard for me to read works in hand-written, thanks
Consider a duopoly market with 2 firms. Aggregate demand in this market is given byQ = 500 – P,where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. 1. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?
Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. 1. What are the equilibrium quantities? 2. What is the total quantity supplied on this market? 3. What is the equilibrium price in this market?
Question 4 Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot.Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?
Consider a duopoly, i.e., an industry with only two firms: firm A and firm B, making the same product. The industry’s inverse demand is P(Q)=260−(1/6)Q , where P is the market price and Q is the total industry output. Each firm has a marginal cost MC of $5. There are no fixed costs and no barriers to exit the market. a) Suppose that the two firms engage in Cournot competition. Find the equilibrium price PNE in the industry, the equilibrium outputs QANE and QBNE, as well as the profits πANE and πBNE, for each firm. b) Suppose the marginal cost for firm B increases from $5 to $8, while everything else remains unchanged. Find the new equilibrium price PNE in the industry, the new equilibrium outputs QANE and QBNE, as well as the new profits πANE and πBNE for each firm. c) Suppose that, in addition to the marginal cost increase from $5 to $8 from sub question b), firm B also has a fixed cost of $45,000, out of which $42,500 may be recouped if it shuts down; everything else remains…
Consider a Duopoly model, in which two firms decide a quantity simultaneously. The market demand is given by P=120 - 3Q, where Q is the total output (i.e., Q=Q1+Q2). Each firm has an identical cost function, TCi=12Qi, i=1, 2. If Firm 1 believes Q2=12, Firm 1 should sell Q1= _____ units in order to maximize its profit.
Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given by TCi = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?
Consider a Bertrand duopoly. Both firms produce an identical good at the same constant marginal cost of $0.80. Demand is given by Q=100−P. If the two firms charge the same price, they share market demand equally. The firms are located in Singapore, where the smallest currency denomination is $0.05. The firms thus can only choose prices in increments of $0.05. a) Suppose that both firms choose the same price, P. What is the profit of a firm as a function of P? b) Now suppose that one firm unilaterally deviates from the arrangement in (a) by charging a price $0.05 lower than P. What is that firm’s profit as a function of P? c) A Nash equilibrium occurs when no firm has an incentive to deviate by lowering its price. Using your answers in (a) and (b), set up an inequality that characterizes the Nash equilibrium. Then solve for the Nash equilibria in this game. (Hint: there are three equilibria)
Suppose we have a duopoly with Firm 1 and Firm 2 and the following inverse demand function:P = 100 – 5(Q1 + Q2)Total Cost and Marginal Cost values for firms 1 and 2 are:TC1 = 20Q1TC2 = 30Q2MC1 = 20MC2 = 30Assuming a Cournot Duopoly, the following response functions are derived:Firm 1: Q1 = 8 – 0.5Q2Firm 2: Q2 = 7 – 0.5Q1Using this information, calculate the quantity produced for each firm, the price, and profits foreach firm and the market as a whole.