Suppose that two firms are Cournot competitors. Industry demand is given by: P = 200 – Q, where Q is the combined output of the two firms. If both Firm 1 and Firm 2 face constant marginal and average total costs of $20: a. Solve for the Cournot price, quantity, and firm profits. b. Suppose that Firm 1 is considering investing in costly technology that will enable it to reduce its costs to $14 per unit. How would this change the equilibrium values you found in part a? How much should Firm 1 be willing to pay if such an investment can guarantee that Firm 2 will not be able to acquire it? c. If Firm 2 tries to counteract Firm 1's new technology by changing this game to Stackelberg Competition in which they (Firm 2) moves first (after Firm 1 adopts their new technology), what will be the new equilibrium values of price, quantity and firm profits? Will this strategy work for Firm 2?

Suppose that two firms are Cournot competitors. Industry demand is given by: P = 200 – Q, where Q is the combined output of the two firms. If both Firm 1 and Firm 2 face constant marginal and average total costs of $20: a. Solve for the Cournot price, quantity, and firm profits. b. Suppose that Firm 1 is considering investing in costly technology that will enable it to reduce its costs to $14 per unit. How would this change the equilibrium values you found in part a? How much should Firm 1 be willing to pay if such an investment can guarantee that Firm 2 will not be able to acquire it? c. If Firm 2 tries to counteract Firm 1's new technology by changing this game to Stackelberg Competition in which they (Firm 2) moves first (after Firm 1 adopts their new technology), what will be the new equilibrium values of price, quantity and firm profits? Will this strategy work for Firm 2?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter10: Monopolistic Competition And Oligopoly

Section: Chapter Questions

Problem 3SCQ: Consider the curve in the figure below, which shows the market demand. marginal cost, and marginal...

See similar textbooks

Similar questions

Consider the curve in the figure below, which shows the market demand. marginal cost, and marginal revenue curve for firms in an oligopolistic industry. In this example, we assume firms have zero fixed costs. Suppose the firms collude to form a cartel. What price will the cartel charge? What quantity will the cartel supply? How much profit will the cartel earn? Suppose now that the cane] breaks up and the oligopolistic firms compete as vigorously as possible by cutting the price and increasing sales. What will be the industry quantity and price? What will be the collective profits of all firms in the industry? Compare the equilibrium price, quantity, and profit for the cartel and cutthroat competition outcomes.
If firm 1 and firm 2 are the oligopolistic firms in bottled spring water production in Nomansland. The market demand is given by ? = 5000 −20?, Qd is the number of kilolitres demanded per month while P is the price of kilolitres of bottled water. The marginal cost of a kilolitre of bottled water is R10.How do I Find the Cournot equilibrium quantities and price? and how do I Find the Cournot profits and the monopolist profits?
Suppose oil production in the Gulf of Mexico was a symmetric horizontal oligopoly in Cournot competition. Assume there are two producers, each with a constant marginal cost of production of $50 per barrel. Let the demand function for oil in the region be D(p) = 12000 – 20p, where demand is measured in barrels per day. (You will need to calculate inverse demand from demand before moving on). What would the perfectly competitive equilibrium price and quantity be? What would be the consumer surplus and producer surplus? Draw each firm’s residual inverse demand curve. Calculate the Cournot-Nash equilibrium price and quantity. What is the total consumer surplus, total producer surplus across the two firms, and deadweight loss?
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?
4. 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. a. Suppose that firms simultaneously set quantities. Determine the equilibrium price, quantities, profits, and welfare.b. The firms consider merging although their production costs are not affected. Determine the solution to this problem. Is such a merger profitable? What are the welfare effects of this merger?c. Consider the possibility of firm entry after the merger (the entrant produces at marginal costs c=3 and has entry cost F). Suppose first that the merger is not efficiency-enhancing. Analyze such a market and comment on your result (depending on the entry cost F).
H7. For q1=120-2p1-p2 and q2=120-2p2+p1, show that the duopolists have incentives to collude as well as find the -joint profit-maximizing price, output and profit and find each firm’s price, output and profit. What is the optimal defection of each firm, is collusion Nash equilibrium? Show in 2x2 matrix. Is it a prisoner’s dilemma?
Suppose three Cournot competitors, each with costs Ci = 30qi, face an inverse market demand curve of P = 480 – 4Q. Suppose merging will not change costs. a. Find profits for the three firms. Note: Don’t round your answers. How will the profits change for F1 and for F2|3 if F2 and F3 merge? b. Suppose that after the merger occurs, F1 and the new firm F2|3 successfully collude at setting the monopoly price and output, and splitting the resulting monopoly profits. How, if at all, does this change the impact of the merger on F1 and on the merged firm?
Suppose two firms, Firm A and Firm B, are competing by setting quantities (Cournot competition). Firm A has a constant marginal cost of $10 per unit; Firm B has a constant marginal cost of $15 per unit. Assume fixed costs are equal to 0 for both firms. Hint: since fixed costs are zero and the marginal cost is constant, MC = AC. The two firms choose between producing 50 units or 100 units. If the total output is 100 units, the price is $20 per unit; if total output is 150 units, the price is $15 per unit; if total output is 200 units, the price is $10 per unit. Based on the information provided, fill in the firms’ profits in the payoff matrix below with Firm A choosing the row and Firm B choosing the column. QB=100 QB=50 QA=100 , , QA=50 , , The resulting equilibrium is for Firm A to produce ____ (50 or 100)units and Firm B to produce_____ (50 or 100) units.
Two firms engage in Cournot competition in the Everlasting Gobstopper industry. The price elasticity of demand is -2. Firm 1 has a constant marginal cost of $365.00 per unit, and firm 2 has a constant marginal cost of $602.25 per unit. If the two firms are currently in equilibrium, what is firm 2's share of the market? Enter your answer as a decimal, rounded to two places if necessary.
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. (a) At the initial equilibrium, what is total surplus (consumer surplus plus producer surplus)? Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (b) The price? (c) The output? (d) Total profit? (e) The resulting deadweight loss from River Company operating as a…
The figure below shows the market conditions facing two firms, Brooks, Inc., and Spring, Inc., in the domestic market for large utility pumps. Each firm has constant long-run costs, so that MC0 = AC0. As competitors in a duopoly, there are a number of models to determine output and prices. Assume that the Bertrand duopoly model applies, so that they both set price equal to their marginal cost. Initial output in this market will be 16,000 per year (this is split between the two firms), at a price of $300. Suppose that Brooks, Inc. and Spring, Inc. form a joint venture, River Company, whose utility pumps replace the output sold by the parent companies in the domestic market. Assuming that River Company operates as a monopolist and that its costs equal MC0 = AC0, what is: (c) The output? (d) Total profit?
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)=320−(1/5)Q, where P is the market price and Q is the total industry output. Each firm has a marginal cost MC of $20. 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 $20 to $140, 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 $20 to $140 from sub question b), firm B also has a fixed cost of $2500, out of which $2100 may be recouped if it shuts down; everything else remains…