Answer the next question based on the following payoff matrix for a duopoly in which the numbers indicate the profit in thousands of dollars for a high-price or a low-price strategy. Firm X High Price Low Price X= $625 X = $725 Y = $625 Y = $475 X $475 X = $400 Y= $725 Y= $400 If both firms collude to maximize joint profits, the total profits for the two firms will be O A) $1,200,000. O B) $1,500,000. O C) $1,400,000. O D) $1,250,000. Firm Y Low Price High Price
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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?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…Answer the next question based on the following payoff matrix for two oligopolistic firms in which the numbers indicate the prof each firm. Firm B Multiple Choice High Price O Low Price High Price A = $250 B = $250 A = $200 B = $325 Firm A Low Price A = $325 B = $200 Assume that Firm B adopts a low-price strategy while Firm A maintains a high-price strategy. Compared to the results from a hig firms, Firm B will now A = $175 B = $175 lose $75 million in profit and Firm A will gain $50 million in profit. gain $50 million in profit and Firm A will lose $50 million in profit. Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.
- 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…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…What an oligopoly is? Explain in details. Solve the following problem: Assume that two airline companies decide to engage in collusive behaviour. Let’s analyse the game between two such companies. Suppose that each company can charge either a high price for tickets or a low price. If one company charges €100, it earns low profits if the other company charges €100 also, and high profits if the other company charges €200. On the other hand, if the company charges €200, it earns very low profits if the other company charges €100, and medium profits if the other company charges €200 also. 1. Draw the decision box for this game. 2. What is the Nash equilibrium in this game? Explain. 3. Is there an outcome that would be better than the Nash equilibrium for both airlines? How could it be achieved? Who would lose if it were achieved?
- 1. Prove that every trembling-hand perfect equilibrium (for the agent normal form) is sequential. Show by example that the converse is false. The remaining problems in this chapter concern game-theoretic variations on the classic models of oligopoly. They are primarily about those models and so relate more to material in other chapters, but they could not have been posed until we had covered Nash equilibria and sub game perfection. 2. Prove that in the Bertrand game, if prices must be charged in integer multiples of a penny, then there is always at least one Nash equilibrium in which players do not use weakly dominated strategies.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.Alice and Betsy are playing a game in which each can play either of two strategies, leave or stay. If both play the strategy leave, then each gets a payoff of $400. If both play the strategy stay, then each gets a payoff of $800. If one plays stay and the other plays leave, then the one who plays stay gets a payoff of $C and the one who plays leave gets a payoff of $D. When is the outcome where both play leave a Nash equilibrium? a) never, since 800 > 400 b) when 400 > C and D > 800 but not when 800 > D c) whenever 400 > C d) when D > C and C > 400 e) whenever d < 800
- 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 two firms, Lucky Bird and Full Coop, are the only sellers of seitan buffalo wings in some hypothetical market. The following payoff matrix gives the profit (in millions of dollars) earned by each company depending on whether or not it chooses to advertise: Full Coop Advertise Doesn't Advertise Lucky Bird Advertise 9, 9 15, 3 Doesn't Advertise 3, 15 11, 11 For example, the lower left cell of the matrix shows that if Full Coop advertises and Lucky Bird does not advertise, Full Coop will make a profit of $15 million, and Lucky Bird will make a profit of $3 million. Assume this is a simultaneous game and that Lucky Bird and Full Coop are both profit-maximizing firms. If Lucky Bird chooses to advertise, it will earn a profit of million if Full Coop advertises and a profit of million if Full Coop does not advertise. If Lucky Bird chooses not to advertise, it will earn a profit of million if Full Coop advertises and a profit of million if…Refer to the payoff matrix below. Assuming this is a sequential game with no collusion, what is the outcome if Firm A moves first to build a new type of commercial aircraft? Explain why fifi rst-mover strategies in the realworld are only as good as the profifit projections on which they are based. How could a supposed “win” from moving first turn out to be a big loss, whereas the “loss” of being preempted turn out to be a blessing in disguise?