ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Oligopoly
Consider a market in which the market demand curve is given by P
= 18 - Q, Firm 1 has a marginal cost of 3, while Firm 2 has a
marginal cost of 6.
Find the Cournot equilibrium output. What are
the Stackelberg equilibrium output if firm 1 act as the leader?
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- the question is in the image attached.arrow_forwardSuppose that identical duopoly firms have constant marginal costs of $0 per unit. Firm 1 faces ademand function of q1 = 100 – 2p1 + p2, where q1 is Firm 1’s output, p1 is Firm 1’s price, and p2 isFirm 2’s price. Similarly, the demand Firm 2 faces is q2 = 100 – 2p2 + p1. Please solve for theBertrand equilibrium.arrow_forward1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). a. Assume firm A chooses quantity first. Frim B observes this choice and then chooses its own quantity. What is Frim B's profit as a function of QA and QB? b. Firm B has MRB = 220 – 2QB – QA. What is firm B’s best response to an arbitrary QA selected by firm A? c. Given that firm A expects firm B’s best response, what is firm A’s profit as a function of QA? (Hint: the only unknown variable in the profit function should be QA) d. Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e. What is the equilibrium price, and how much profit does each firm collect?arrow_forward
- How are the implications of the kinked demand curve in an oligopoly market best illustrsted and explainedarrow_forwardSuppose the airline industry consisted of only two firms: American and Texas Air Corp. Let the two firms have identical cost functions, C(q) - 40g Assume that the demand curve for the industry is given by P= 190 -Q and that each firm expects the other to behave as a Cournot compedtor. Calculate the Coumot-Nash equilibrium for each firm, assuming that each chooses the output level that maximizes as profes when taking its rival's output as given. What are the profits of each firm? (Round all quantities and dollar amounts to two decimal places) When competing, each firm will produce units of output. In tum, each firm will earn profit of $. What would be the equilibrium quantity if Texas Air had constant marginal and average costs of $10 and American had corntant marginal and average costs of S407 It Texas Air had constant marginal and average costs of $10 and American had constant marginal and average costs of S40, American would produceunits and Texas Air Corp. would produce units. In…arrow_forward!arrow_forward
- Let ci be the constant marginal and average cost for firm i (so that firms may have different marginal costs). Suppose demand is given by P=1-Q. Calculate the Nash equilibrium quantities assuming there are two firms in a Cournot market. Also compute market output, market price, firm profits, industry prof- its, consumer surplus, and total welfare. Represent the Nash equilibrium on a best-response function diagram. Show how a reduction in firm 1’s cost would change the equilibrium. Draw a representative isoprofit for firm 1.arrow_forward9.17arrow_forwardQUESTION 13 Consider a market where two firms (1 and 2) produce differentiated goods and compete in prices. The demand for firm 1 is given by D₁(P₁, P2) = 140 - 2p1 + P2 and demand for firm 2's product is D2 (P1, P2) 140 - 2p2 + P1 Both firms have a constant marginal cost of 20. What is the Nash equilibrium price of firm 1? (Only give a full number; if necessary, round to the lower integer; no dollar sign.)arrow_forward
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