Consider a market with two firms, Target and Wal-Mart, that sell CDs in their music department. Both stores must choose whether to charge a high price ($30) or a low price ($17) for the new Miley Cyrus CD. These price strategies with corresponding profits are depicted in the payoff matrix. Target's profits are in red and Wal-Mart's are in blue. Target's dominant strategy is to pick a price of $ C O 2 Target Price = $30 Price = $17 $7,000 $1,000 Price = $30 $7,000 $12,000 Wal-Mart $12,000 $4,000 Price = $17 $1,000 $4,000
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- Alcoa and Kaiser, duopolists in the market for primary aluminum ingot, choose prices of their 500 foot rolls of sheet aluminum on the first day of the month. The following payoff table shows their monthly payoffs resulting from the pricing decisions they can make. Suppose Alcoa and Kaiser repeat their pricing decision on the first day of every month. Suppose they have been cooperating for the past few months, but now the manager at Kaiser is trying to decide whether to cheat or to continue cooperating. Kaiser’s manager believes Kaiser can get away with cheating for two months, but he also believes that Kaiser would be punished for the next two months after cheating. After punishment, Kaiser’s manager expects the two firms would return to cooperation. Kaiser’s manager ignores the time-value of money and does not discount future benefits or costs. Will Kaiser cooperate or cheat? Explain.Alcoa and Kaiser, duopolists in the market for primary aluminum ingot, choose prices of their 500 foot rolls of sheet aluminum on the first day of the month. The following payoff table shows their monthly payoffs resulting from the pricing decisions they can make. Suppose Alcoa and Kaiser repeat their pricing decision on the first day of every month. Suppose they have been cooperating for the past few months, but now the manager at Kaiser is trying to decide whether to cheat or to continue cooperating. Kaiser’s manager believes Kaiser can get away with cheating for two months, but he also believes that Kaiser would be punished for the next two months after cheating. After punishment, Kaiser’s manager expects the two firms would return to cooperation. Kaiser’s manager ignores the time-value of money and does not discount future benefits or costs. 4. Suppose you were asked to manage a golf course that was currently charging a uniform price. Would you suggest that the course continue…Alcoa and Kaiser, duopolists in the market for primary aluminum ingot, choose prices of their 500 foot rolls of sheet aluminum on the first day of the month. The following payoff table shows their monthly payoffs resulting from the pricing decisions they can make. Suppose Alcoa and Kaiser repeat their pricing decision on the first day of every month. Suppose they have been cooperating for the past few months, but now the manager at Kaiser is trying to decide whether to cheat or to continue cooperating. Kaiser’s manager believes Kaiser can get away with cheating for two months, but he also believes that Kaiser would be punished for the next two months after cheating. After punishment, Kaiser’s manager expects the two firms would return to cooperation. Kaiser’s manager ignores the time-value of money and does not discount future benefits or costs. What is the monthly gain to Kaiser from cheating? What is the present value of the benefit from cheating for the two months of cheating?
- Alcoa and Kaiser, duopolists in the market for primary aluminum ingot, choose prices of their 500 foot rolls of sheet aluminum on the first day of the month. The following payoff table shows their monthly payoffs resulting from the pricing decisions they can make. Suppose Alcoa and Kaiser repeat their pricing decision on the first day of every month. Suppose they have been cooperating for the past few months, but now the manager at Kaiser is trying to decide whether to cheat or to continue cooperating. Kaiser’s manager believes Kaiser can get away with cheating for two months, but he also believes that Kaiser would be punished for the next two months after cheating. After punishment, Kaiser’s manager expects the two firms would return to cooperation. What is the monthly cost of punishment to Kaiser? What is the present value of the cost of cheating for the two months of punishment?There are two firms in an industry, Firm A and Firm B. If firm A and firm B both advertise, they each will earn $5 million in profits. If neither firm advertises, they will each earn $10 million in profits. However, if one firm advertises and the other does not, the firm that advertises will earn $15 million and the non-advertising firm will earn $1 million. List all Nash equilibrium to this game. Both firms advertise Firm A advertises and Firm B does not Firm B advertises and Firm B does not Neither firm advertises No Nash equilbrium existsConsider a situation where two firms, 1 and 2, compete by choosing prices simultaneously. They can either compete (charge a low price) or cooperate (collude, charging a high price). The firms play this competition game repeatedly and indefinitely, using a grim trigger strategy to incentivize cooperation. They use the same interest rate, i , to discount future payoffs. Payoffs are $4,050 when both firms cooperate and $3,600 when they compete. If one firm charge a low price while the other charges a high price, the firm charging the low price gets $7,200, and the other gets zero. Which of the following statements is correct?(a) For any i < 1/7 the firms will cooperate(b) For any i > 1/8 the firms will cooperate(c) For i = 1/9 the firms will be indifferent between cooperating or competing(d) There is no way to sustain cooperation in this scenario
- Suppose two firms, Firm A and Firm B, are competing by setting quantities (Cournot competition). The two firms choose between producing 500 units or 1000 units. If the total output is 1000 units, the price is $50 per unit; if total output is 1500 units, the price is $25 per unit; if total output is 2000 units, the price is $10 per unit. Based on the information provided, fill in the firms’ revenues in the payoff matrix below with Firm A choosing the row and Firm B choosing the column.Refer to the normal-form game of price competition in the payoff matrix below Firm B Low Price High Price Firm A Low Price 0, 0 50, −10 High Price −10, 50 20, 20 Suppose the game is infinitely repeated, and the interest rate is 20 percent. Both firms agree to charge a high price, provided no player has charged a low price in the past. This collusive outcome will be implemented with a trigger strategy that states that if any firm cheats, then the agreement is no longer valid, and each firm may make independent decisions. Will the trigger strategy be effective in implementing the collusive agreement? Please explain and show all necessary calculations.Suppose that Expresso and Beantown are the only two firms that sell coffee. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Beantown Advertise Doesn't Advertise Expresso Advertise 8, 8 15, 2 Doesn't Advertise 2, 15 11, 11 For example, the upper right cell shows that if Expresso advertises and Beantown doesn't advertise, Expresso will make a profit of $15 million, and Beantown will make a profit of $2 million. Assume this is a simultaneous game and that Expresso and Beantown are both profit-maximizing firms. If Expresso decides to advertise, it will earn a profit of million if Beantown advertises and a profit of million if Beantown does not advertise. If Expresso decides not to advertise, it will earn a profit of million if Beantown advertises and a profit of million if Beantown does not advertise. If Beantown advertises, Expresso makes a higher profit if…
- Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q₁. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose q2 and 93, respectively. Market demand is given by p(Q) = 100 – Q, and Q = 9₁ +9₂ +93. Firm 1's costs are c₁ (9₁) = 1q₁, firm 2's costs are c₂(9₂) = 6q2 and firm 3's costs are C3(93) = 693. Starting from the end of the game, you can express Firm 2's best response function in terms of 9₁ and 93, and you can similarly express Firm 3's best response function in terms of q₁ and q₂. Using these, answer the following questions. a) If Firm 1 chooses q₁ = 9, what quantity will Firm 2 choose? b) If Firm 1 chooses q₁ = 100, what quantity will Firm 2 choose? c) In the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity? d) In the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity?Untied and Air ’R’ Us are the only two airlines operating flights between Collegeville and Bigtown. Each airline can charge either a high price or a low price for a ticket. The accompanying matrix shows their payoffs, in profits per seat (in dollars), for any choice that the two airlines can make. Suppose the two airlines play a one-shot game—that is, they interact only once and never again. What will be the Nash (noncooperative) equilibrium in this one-shot game? Explain why this is the likely outcome. Now suppose the two airlines play this game twice. Each airline then considers the future and decides on a “tit-for-tat” strategy, that is, it starts off charging the high price in the first period, and then in the second period it does whatever the other airline did in the previous period. If both play this…
