2. Walmart (firm 1) and Amazon (firm 2) are a duopoly in the grocery market. They are faced with an inverse demand of P(Q1,Q2) = 4 – 2(Q1 + Q2) and total costs of TC(Q;) = 2Q?, i = 1, 2. Note that the marginal cost is not constant! %3D
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Obtain the Stackelberg equilibrium in which Walmart moves first. Compare with the Cournot equilibrium (
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- 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?In the mobile phone market, Samsung and Apple constitute a duopoly in the production of devices.The American firm has the following demand q_a = 10 - p_a + 0.25p_s, and the Korean firm, q_s = 20 -p_s+ 0.5p_a. Because both firms assembly their devices in China, their cost structure is the same andequal to ?(q) = 10q, answer the following questions.a) What would be the equilibrium (quantity, price, and profit) in this market, and interpret youranswer.b) If they decide to form a cartel, what are the new quantities, prices, and profits?Consider a homogeneous good duopoly with linear demand P(q) = 12- q,where q is the total industry output, and constant marginal costs c = 3. 1. Suppose that firms simultaneously set quantities. Determine the equilibrium (price, quantities, profit, welfare). 2. The firms consider to merge although their production costs are not affected. Determine the optimal price and quantity after merger. 3. Is such a merger profitable? 4. What are the welfare effects of such a merger?
- 2. Ryan and Zheka produce the same homogeneous product and each has constant marginal costs of \$7. Market demand is linear, with vertical intercept 60 and horizontal intercept 30. Ryan and Zheka are Bertrand competitors, so pricing is important to them. What price will each charge in the unique Nash equilibrium of this Bertrand duopoly? a) Both charge a price of \$6. b) Both charge a price of \$7. c) Both charge a price of \$20. d) One charges \$7, the other stays out of the market.The table above presents the demand schedule and profits for soft drinks. Suppose the market for soft drinks is a duopoly and the two firms in the market are Coca Cola and Pepsi. Assume Coca Cola and Pepsi make exactly the same soft drinks but with different names: Coke and Pepsi. Assume a constant marginal cost of $200 and no fixed costs. If Coca Cola and Pepsi collude, how many Cokes would Coca Cola produce? [11:52] 100 25 150 75Consider 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. 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, thanksSuppose that a typical firm in a monopolistically competitive industry faces a demand curve given by: q = 60 − (1/2)p, where q is quantity sold per week. The firm’s marginal cost curve is given by: MC = 60. 1. How much will the firm produce in the short run? 2. What price will it charge? 3. Draw the firm’s demand, marginal revenue, and marginal cost curves. Does this solution represent a long-run equilibrium? Why or why not? Sometimes oligopolies in the same industry are very different in size. Suppose we have a duopoly where one firm (Firm A) is large and the other firm (Firm B) is small, as shown in the prisoner’s dilemma box in Table 5.Firm B colludes with Firm AFirm B cheats by selling more outputFirm A colludes with Firm BA gets $1,000, B gets $100A gets $800, B gets $200Firm A cheats by selling more outputA gets $1,050, B gets $50A gets $500, B gets $20Assuming that the payoffs are known to both firms, what is the likely outcome in this case?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?