Suppose that the demand in a particular industry is given by Qd = 100 - 2P. When the market price in the industry is $10 per unit, total demand in the industry is that each of the four largest firms in the industry sell 15 units. Based on this information, the four- Furtrermore, assume firm concentration ratio is Select one: OA. 45 units; 0.75 O B. 80 units; 1.00 C. 80 units; 0.75 D. 45 units; 0.25

Suppose that the demand in a particular industry is given by Qd = 100 - 2P. When the market price in the industry is $10 per unit, total demand in the industry is that each of the four largest firms in the industry sell 15 units. Based on this information, the four- Furtrermore, assume firm concentration ratio is Select one: OA. 45 units; 0.75 O B. 80 units; 1.00 C. 80 units; 0.75 D. 45 units; 0.25

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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QUESTION 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.)
1 Consider two identical firms with a unit cost of production of $10 and a market demand of p= 60-y. (a) What is firm 1’s optimal output level as a function of firm 2’s output? (b) What is firm 2’s optimal output level as a function of firm 1’s output? (c) What is the Cournot equilibrium output level for these firms? (d) What is the Cournot equilibrium price level? Show your work step by step.
1.7. In Section 1.2.B, we analyzed the Bertrand duopoly model with differentiated products. The case of homogeneous products
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Initially there are six firms producing differentiated products. The demand function for the good produced by firm i, i=1,2..,6, is given by qi = 10-2pi+0.3 summation pj where the sum is taken over the five prices other than firm i. Each firm has the same marginal cost c. The firms choose prices simultaneously; that is, they are differentiated products Bertrand competitors. (a) Solve for the symmetric Nash equilibrium prices. (b) Suppose that you observe each firm to set a price of 4.8. What must c be? (c) Suppose that two of the six firms merge to become a single firm. The firm continues to produce both goods. Using the marginal cost you found in (b), derive the new post-merger Nash equilibrium prices.
Suppose the robot assistant market consists of two firms: MultiTech and MicroRobo. Each of the two firms must simultaneously choose to set either a high price or a low price for its robots. If both MultiTech and MicroRobo set a high price, their profits will be SEK 30 million each. Conversely, if they both set a low price, their profits will be only SEK 3 million. On the other hand, if one firm sets a high price while the other sets a low price, the high-priced firm will incur a loss of SEK 15 million, while the low-priced firm will gain a profit of SEK 90 million. Answer the following questions: a) Write the payoff matrix of this game. b) How many Nash equilibria are there? Identify each equilibrium, what is the dominant strategy? c) Suppose MultiTech has a well-known brand, therefore receiving profits 15% higher than MicroRobo in all strategies. Explain how this would affect the payoff matrix and the firms' strategies.
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Consider a duopoly market with 2 firms. Aggregate demand in this market is given byt 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. e 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?
2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 1 2 q; the demand function for the firms' output is Q = 1.5-p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 1 2. (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…