14.6. Let us ignore mixed strategies. Asahi and Kirin are the two largest sellers of beer in Japan. These two firms compete head to head in the dry beer category in Japan. The following table shows the profit (in millions of yen) that each firm earns when it charges different prices for its beer: Kirin ¥690 ¥630 180, 180 178, 184 175, 185 173, 186 ¥720 186, 173 194, 180 198, 190 196, 196 ¥660 184, 178 183, 183 182, 192 180, 194 185, 175 192, 182 191, 191 190, 198 ¥630 Asahi ¥660 ¥690 ¥720 a) Does Asahi have a dominant strategy? Does Kirin? b) Both Asahi and Kirin have a dominated strategy: Find and identify it. c) Assume that Asahi and Kirin will not play the dominated strategy you identified in part (b) (i.e., cross out the dominated strategy for each firm in the table). Having eliminated the dominated strategy, show that Asahi and Kirin now have another dominated strategy. d) Assume that Asahi and Kirin will not play the dominated strategy you identified in parts (b) and (c). Having eliminated this dominated strategy, determine whether Asahi and Kirin now have a dominant strategy. e) What is the Nash equilibrium in this game?

14.6. Let us ignore mixed strategies. Asahi and Kirin are the two largest sellers of beer in Japan. These two firms compete head to head in the dry beer category in Japan. The following table shows the profit (in millions of yen) that each firm earns when it charges different prices for its beer: Kirin ¥690 ¥630 180, 180 178, 184 175, 185 173, 186 ¥720 186, 173 194, 180 198, 190 196, 196 ¥660 184, 178 183, 183 182, 192 180, 194 185, 175 192, 182 191, 191 190, 198 ¥630 Asahi ¥660 ¥690 ¥720 a) Does Asahi have a dominant strategy? Does Kirin? b) Both Asahi and Kirin have a dominated strategy: Find and identify it. c) Assume that Asahi and Kirin will not play the dominated strategy you identified in part (b) (i.e., cross out the dominated strategy for each firm in the table). Having eliminated the dominated strategy, show that Asahi and Kirin now have another dominated strategy. d) Assume that Asahi and Kirin will not play the dominated strategy you identified in parts (b) and (c). Having eliminated this dominated strategy, determine whether Asahi and Kirin now have a dominant strategy. e) What is the Nash equilibrium in this game?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter13: best-practice Tactics: Game Theory

Section: Chapter Questions

Problem 3E

See similar textbooks

Similar questions

Suppose that GE is trying to prevent Maytag from entering the market for high efficiency clothes dryers. Even though high efficiency dryers are more costly to produce, they are also more profitable as they command sufficiently higher prices from consumers. The following payoffs table shows the annual profits for GE and Maytag for the advertising spending and entry decisions that they are facing. GE MAYTAG Advertising = $12m Advertising = $0.7m Stay Out $0, $30m $0, $35m Enter $1m , $20m $12m, $15 Based on this information, can GE successfully prevent Maytag from entering this market by increasing its advertising levels? What is the equilibrium outcome in this game? Suppose that an analyst at GE is convinced that just a little bit more advertising by GE, say another $2m, would be sufficient to deter enough customers from buying Maytag, thus, yield less than $0 profits for Maytag in the event it enters. Suppose that spending an extra $2m on advertising…
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.
Question 25 Consider two cigarette companies, PM Inc. and Brown Inc. If neither company advertises, the two companies split the market and earn $60 million each. If they both advertise, they again split the market, but profits are lower by $20 million since each company must bear the cost of advertising. Yet, if one company advertises while the other does not, the one that advertises attracts customers from the other. In this case, the company that advertises earns $70 million while the company that does not advertise earns only $30 million. What will these two companies do if they behave as individual profit maximizers? Both companies will advertise. Brown Inc. earns $40. Neither company will advertise. Brown Inc. earns $60. Both companies will advertise. PM Inc. earns $60. One company will advertise, and the other will not. Brown Inc. earns $70.
4. Two Stackelberg-competitors with no costs face the common market demand curve P=30−Q, where Q is the combined output of both firms. Firm 1, the leader, picks its output first. Then Firm 2, the follower, picks its output. How much output does Firm 2 produce in their sequential-move game? a) 3 units. b) 15 units. c) 15/2 units. d) 30 units.
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?
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 75
E1 Find Bertrand equilibrium and its outputs for the following asymmetric duopoly:q 1(p1, p2) = 16 - p1 + 0.5 p2, C1(q1) = 4q1;q 2(p1, p2) = 16 + 0.5 p1 - p2, C2(q2) = 6q2.(Note that the average and marginal costs are: AC1=MC1 = c1 = 4, AC2=MC2 = c2 = 6)
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?
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: (b) The price?
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: (e) The resulting deadweight loss from River Company operating as a monopoly?
Exercise 6.7. Suppose two identical companies produce wood stoves and they are the only ones on the market. Its costs are given by: C1 (q1 )=200q1 and C2 (q2) = 200q2. And the inverse market demand curve is: P=2000-2Q, where Q =q1 + q2 Get the Cournot-Nash equilibrium. Calculate the profits of each company. Show graphically. Suppose that the two companies form a cartel to maximize joint profits. How many stoves will you produce? Calculate the profits of each company. Represent graphically. Managers now note that explicit agreements to collude are illegal. Each company must decide on its own whether to produce the amount of Cournot or that of the cartel.