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- Sometimes oligopolies in the same industry are very different in size. Suppose we have a duopoly where one firm (Film A) is large and the other film (Film B) is small, as the prisoners dilemma box in Table 10.4 shows. Assuming that both films know the payoffs, what is the likely outcome in this case?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…Two firms with differentiated products are competing in price. Firm A and B face thefollowing demand curves: Q_A = 70 − 2P_A + P_B and Q_B = 120 − 2P_B + P_Arespectively. Assume production is costless.a. Give equations for and graph each firm’s reaction curve.b. If both firms set their prices at the same time, what is the Nash equilibriumprice, quantity, and profit for each firm?c. Suppose A sets its price first and then B responds. What price and quantitydoes each firm set now? Is it advantageous to move first?d. Compare the profits from part b and c. Which firm benefits more from thesequential price choosing? (Please do b-d, thanks :))
- 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.Discuss what can be the expected resultof the firms in the oligopoly, that is, that can be the expected Nash Equilibrium solution fora household cleaning appliance.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?
- Consider a situation where two firms, 1 and 2, compete by choosing prices simultaneously. Theycan either compete (charge a low price) or cooperate (collude, charging a high price). The firmsplay this competition game repeatedly and indefinitely, using a grim trigger strategy toincentivize cooperation. They use the same interest rate, i, to discount future payoffs. Payoffsare $4,050 when both firms cooperate and $3,600 when they compete. If one firm charge a lowprice while the other charges a high price, the firm charging the low price gets $7,200, and theother gets zero, but now assume there is a 10% chance that aregulatory agency will give both firms a $1,500 fine in each period if they are caught colluding.Find the condition on the interest rate, i , necessary for sustaining the cooperative equilibrium.Which of the following statements is correct?(a) For any i < 1/7 the firms will cooperate.(b) For any i < 1/11 the firms will cooperate.(c) For any i > 1/11 the firms will…Assume that Acme and Gamma are the two main rivals in the market for hair dryers. Each firm is considering prices of $50 or $60, with the following possible profit outcomes: Gamma Price = 50 Price = 60 Price = 50 40, 45 45, 42 Acme Price = 60 24, 55 30, 48 A) Assume the firms choose prices simultaneously. Does the game have a solution? Explain. B) Is the solution you have identified a Nash Equilibrium? Explain why or why not.1. Explain how the Prisoner’s Dilemma can be useful in analyzing the behavior of firms toward one another. In particular, using a 2 x 2 table like the one we developed in class, explain why the strategic interaction between two companies that can charge either a high price or a low price may result in lower profits for both if they are acting competitively. Explain, again using the table, why there may be a tendency for firms to try to collude. Finally, explain why it may hard for firms to remain in the equilibrium in which they both collude (hint: what is the incentive for each player in the collusion equilibrium?) 2. Consider the determinants of the rate of profit. We have discussed a variety of strategies capitalists might employ to raise the rate of profit. Does using these strategies to increase r necessarily hurt workers? If not, which strategies hurt workers and which do not? 3. Write out the complete expression for profit you have learned, defining all the terms you use. Also…
- 2 clothing manufacturers, LE and LL B, are deciding what price to charge for very similar field coats. Cost of producing these coats is $100. The coats are very close substitutes, so customers swarm to the seller that offers the lowest price. If both firms offer the same prices, each receives half of the customers. Assume the two firms have the choice of pricing at prices of $103, $102, or $101. The profit each firm would earn at various prices is shown in the payoff matrix below $103 ($150, $150) ($0, $200) ($0, $120) Lands' End $102 ($200, $0) ($100, $100) ($0, $120) $101. ($120, $0) ($120, $0) ($50, $50) What is the Nash equilibrium and expected profits to LLB and LE of this game? If this was a mixed strategy game in which LLB has a 25% percent chance of choosing a price of $101, a 25% chance of choosing price of $102, and a 50% chance of choosing $103, while LE has a1/3 chance of…Two firms produce identical products at zero cost, and theycompete by setting prices. If each firm charges a low price,then both firms earn profits of zero. If each firm charges ahigh price, then each firm earns profits of £30. If one firmcharges a high price and the other firm charges a low price,the firm that charges the lower price earns profits of £50, andthe firm charging the higher price earns profits of zero. (a) Which oligopoly model best describes this situation?(b) Write this game in normal form.(c) Suppose the game is infinitely repeated. Can theplayers sustain the "collusive outcome" as a Nashequilibrium if the interest rate is 50 percent? Explain. Please answer the a, b and c parts.Suppose O2 and Vodafone are the only two telecommunicationscompanies in UK. Both companies are considering whether ornot to stop offering unlimited data plans. Each company has twostrategies: stop or don’t stop. The first entry in the brackets is the payoffsof O2 and the second entry is the payoffs of Vodafone, both in $million.What will be the dominant strategies of O2 and Vodafone and what willbe the Nash equilibrium? Explain your answers.