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.
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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
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.
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- Suppose that two companies – AlphaTech and BetaLabs – are competing for market share and must simultaneously decide whether to develop a new product. Both companies are reluctant to make a decision as it is only economical for one company to develop a new product. Each company earns nothing if they decide not to develop a new product. One company can earn $50 million by developing a new product only if their competitor does not. If both companies decide to develop a new product, they each lose $10 million. Complete the payoff matrix to represent this game. Based on your solution in part (a), determine the maximin solution.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outcome will be implemented with a trigger strategy that states that if any firm cheats, then the agreement is no longer valid, and each firm may make independent decisions.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 Flashfry and Warmbreeze are the only two firms in a hypothetical market that produce and sell air fryers. The following payoff matrix gives profit scenarios for each company (in millions of dollars), depending on whether it chooses to set a high or low price for fryers. Warmbreeze Pricing High Low Flashfry Pricing High 11, 11 2, 15 Low 15, 2 8, 8 For example, the lower-left cell shows that if Flashfry prices low and Warmbreeze prices high, Flashfry will earn a profit of $15 million, and Warmbreeze will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfry and Warmbreeze are both profit-maximizing firms. If Flashfry prices high, Warmbreeze will make more profit if it chooses a price, and if Flashfry prices low, Warmbreeze will make more profit if it chooses a price. If Warmbreeze prices high, Flashfry will make more profit if it chooses a price, and if Warmbreeze prices low, Flashfry will make more profit if…
- 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…Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn’t Advertise Creamland Advertise 10, 10 18, 2 Doesn’t Advertise 2, 18 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of_____million if Dairy King advertises and a profit of______million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of_______million if Dairy King advertises and a profit of______million if Dairy King does not advertise. If Dairy King…Consider two beer producers, POTUS Pilsner and Supreme Court Stout. If they advertise, they can both sell more beer and increase their revenue. However, the cost of advertising more than offsets the increased revenue so that each producer ends up with a lower profit than if they do not advertise. On the other hand, if only one advertises, that producer increases its market share and also its profit. Construct a payoff matrix using the following hypothetical information: If neither producer advertises, each earns a profit of $35 million per year. If both advertise, each earns a profit of $20 million per year. If one advertises and the other does not, the producer who advertises earns a profit of $50 million and the producer who does not advertise earns a profit of $9 million. If POTUS Pilsner wants to maximize profit, will it advertise? Briefly explain. If Supreme Court Stout wants to maximize profit, will it advertise? Briefly explain. Is there a dominant strategy for each…
- Refer to the normal-form game of price competition in the payoff matrix below. Suppose the game is infinitely repeated, and the interest rate is 10 percent. Both firms agree to charge a high price, provided no player has charged a low price in the past. (a) If both firms stick to this agreement, then what is the present value of firm A's payoffs? Please show your calculations. (b) If firm A cheats, what is the present value of the returns for Firm A for cheating? Please show your calculations.To advertise or not to advertise Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Creamland Advertise 10, 10 18, 2 Doesn't Advertise 2, 18 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of _________ million if Dairy King advertises and a profit of ________ million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of __________ million if Dairy King advertises and a profit of _________…Two competing firms must choose their quantity of production simultaneously. Each firm can choose either a High quantity of 3 or a Low quantity of 2. The price for both firms is 9-Q, where Q is the sum of both their quantities. Costs are zero; the profit is simply price times quantity. For example, if firm 1 chooses High and firm 2 chooses Low, then price is 9-(3+2)=4; payoff for firm 1 is 12 while payoff for firm 2 is 8. What is the unique Nash equilibrium? (Firm 1's strategy will be written before firm 2's.)
- Two firms A and B produce a product jointly. The total value to the two firms from the joint venture is given by V = √iA + √iB where iA and iB are the firms’ respective investment levels. After the investment levels have been chosen, the firms divide V equally. a) Find the Nash equilibrium investment levels, and the payoffs for each firm. b) Suppose that A and B merge. Find the optimal investment levels and the payoffs for the merged firm. Do the firms benefit from the merger? Why?. Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell tablets: Padmania and Capturesque. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its tablets. Capturesque Pricing High Low Padmania Pricing High 9, 9 3, 15 Low 15, 3 7, 7 For example, the lower-left cell shows that if Padmania prices low and Capturesque prices high, Padmania will earn a profit of $15 million, and Capturesque will earn a profit of $3 million. Assume this is a simultaneous game and that Padmania and Capturesque are both profit-maximizing firms. If Padmania prices high, Capturesque will make more profit if it chooses a price, and if Padmania prices low, Capturesque will make more profit if it chooses a price. If Capturesque prices high, Padmania will make more profit if it chooses a price, and if Capturesque prices low, Padmania…Two firms are playing an infinitely-repeated prisoner's dilemma pricing game of the following form: Firm 1 Firm 2 Low price High Price Low price 4, 4 20, 0 High price 0, 20 12,12 Consider the decision to cheat ONLY ONCE for a firm in this game against the opponent that is a Tit-for-Tat player. Cheating firm gets an extra in payoffs for the first round, but has to face $0 payoffs for the second round in order to be able to bring the opponent to the collusive outcome again in the third round. What is the minimum rate of return (r) that would make defecting only once? Show your calculations.