ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 2. Four firms (A, B, C, and D) play a pricing game (i.e. Bertrand). Each firm (i) may choose any price Pi from 0 to ¥, with the goal of maximizing its own profit. Firms A and B have MC = 10, while firms C and D have MC = 20. The firms serve a market with the demand curve Q = 100 – P. All firms produce exactly the same product, so consumers purchase only from the firm with the lowest price. If multiple firms have the same low price, consumers divide their quantities evenly among the low-priced firms. Assume the firms choose price simultaneously. a. There are many equilibria in this simultaneous-move pricing game. Provide one equilibrium combination of prices, and argue that no firm has a unilateral incentive to deviate from these prices. Now assume firm A chooses price first. Firm B observes this choice and then chooses its own price second. Firm C chooses price third, and firm D chooses price last. b. Again, there are many equilibria in this sequential-move pricing game.…arrow_forwardSuppose that two mining companies, Australian Minerals Company (AMC) and South African Mines, Inc. (SAMI), control the only sources of a rare mineral used in making certain electronic components. The companies have agreed to form a cartel to set the (profit-maximizing) price of the mineral. Each company must decide whether to abide by the agreement (i.e., not offer secret price cuts to customers) or not abide (i.e., offer secret price cuts to customers). If both companies abide by the agreement, AMC will earn an annual profit of $36 million and SAMI will earn an annual profit of $24 million from sales of the mineral. If AMC does not abide and SAMI abides by the agreement, then AMC earns $48 million and SAMI earns $6 million. If SAMI does not abide and AMC abides by the agreement, then AMC earns $12 million and SAMI earns $36 million. If both companies do not abide by the agreement, then AMC earns $18 million and SAMI earns $12 million. Complete the following payoff matrix using the…arrow_forwardAnswer the following questions regarding the matrix below, which represents the strategic interaction between the two largest movie production studios, Universal Pictures and 20th Century Fox. They are each deciding the release dates for their own summer blockbuster action movies. They can release their movies in June, July, or August. Because of limited demand for going to the movies, each firm would generally rather release their movies earlier than later. Similarly, they would rather not release their movies at the same time, as it dilutes the demand for their movies. The matrix form of the game is as follows: Universal June July August June 5,5 4,6 7,8 Fox July 6,4 5,5 4,6 August 8,6 6,5 5,4 d) Suppose Universal and Fox make their decisions simultaneously. Are there any Nash equilibria? If so, what are they? Show your work. e) Suppose they move sequentially, and that Fox moves first. First set up the game tree. What will be the equilibrium path of the subgame perfect Nash…arrow_forward
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- 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: (f) Assume River Company’s formation leads to technological advances that yield cost reductions, such that MC1 = AC1. Compared to the original equilibrium (in (a)), what is the net effect of River Company’s…arrow_forwardAP CollegeBoard Test Booklet Unit 4 Problem Set Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to “Calculate," you must show how you arrived at your final answer. Use the graph provided below to answer parts (a)-(e). Marginal Cost Average Total Cost Average Variable Cost 108 100 55 Demand 0 10 21 31 44 57 77 Quantity Marginal Revenue BigMed, a profit-maximizing firm, has a patent on a medical device, making it the only producer of that device. The graph above shows BigMed's demand, marginal revenue, average total cost, average variable cost, and marginal cost curves. (a) Calculate BigMed's total revenue if the firm produces the allocatively efficient quantity. Show your work. (b) Starting at a price of $100, if BigMed were to increase the price by 2%, will the quantity demanded decrease by more than 2%, by less…arrow_forwardProblem # 4 Idea Inc. is a small publishing company operating in the college and textbook market, which is one of the most profitable segments for book publishers. Idea Inc. has a cost of producing, handling, and shipping of about $30 for each additional book. The publisher’s overall marketing and promotion spending (set annually) accounts for an average cost of about $10 per book. Idea Inc.’s best-selling game theory text has a demand curve: P = 200 - Q, where Q denotes yearly sales (in thousands) of books. For this text Idea Inc. pays a $10 per book royalty to the author. a) Determine the profit-maximizing output and price for the game theory text. b) A rival publisher has raised the price of its best-selling game theory text by $20. One option is to exactly match this price hike and so exactly preserve your level of sales. Do you endorse this price increase? (Explain briefly why or why not.) c) To save significantly on fixed costs, Idea Inc. plans to contract out the actual printing…arrow_forward
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