For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $13 million, and Pictech will earn a profit of $4 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a v price, and if Flashfone prices low, Pictech will make more profit if it chooses price. If Pictech prices high, Flashfone will make more profit if it chooses a price, and if Pictech prices low, Flashfone will make more profit if it chooses price. Considering all of the information given, pricing low v a dominant strategy for both Flashfone and Pictech. If the firms do not collude, what strategies will they end up choosing? O Flashfone will choose a high price, and Pictech will choose a low price.
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- II.2 Companies A and B can compete on advertising or R&D. The profits (in millions of $ million) of the two firms are given in the table below assumig that they play a one-shot simultancous mov game (the profit or firm A is listed first in every cell of the matrix, followed by the profit of firm B): Advertising R&D 50, 25 10, 70 20, 40 60, 35 1. Find the mixed strategy equilibrium. A\B Advertising R&D 2. What are the expected profits for both firms in this equilibrium?3. Suppose there are two movie rental stores in town: Captain Video and Movie Mania. These movie rental firms face a choice between two advertising strategies: television (T) and radio (R). Captain Video will be the first firm to make a decision, and their decision will be based on the anticipated action of Movie Mania. A game tree is provided below: Captain Video T R Movie Mania Movie Mania RT T R $800, $600 $600, $750 $400, $400 $250, $450 Find the Nash equilibrium using the backward induction method. Please explain the decision making process of each firm. (3 pts)4. Consider the following Pricing game. Firms A and B each has two strategies: to charge Low or High price. The following table shows the payoffs for all possible outcomes: Firm B Pricing Strategy Low High Low Firm A 0,0 -200, 400 High 400, -200 100, 100 Suppose that Firms A and B are going to play this game over and over again, forever. Also, suppose both firms agree on the following collusive plan: "We will each charge the high price, provided neither of us has ever charged the low price in any previous period. If one of us cheats and charges the low price, the other player will charge the low price in every period thereafter." Answer the following questions about this infinitely repeated game:
- 4. Suppose in 1977 Honda and Toyota each have to decide whether to build an automobile plant in the North American market. The payoff matrix below shows Honda's payoff on the left, and Toyota's on the right. Is there a Nash equilibrium? If so, where, and how do you know? Тoyota Build small Don't build anything plant Build small 16, 16 20, 15 Honda plant Don't build anything 15, 20 18, 184. Using a payoff matrix to determine the equilibrium outcome 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. Flashfry Pricing High Low Warmbreeze Pricing High Low 11, 11 2,13 13, 2 10, 10 For example, the lower-left cell shows that if Flashfry prices low and Warmbreeze prices high, Flashfry will earn a profit of $13 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. price, and if Flashfry prices low, Warmbreeze will make more profit if it If Flashfry prices high, Warmbreeze will make more profit if it chooses a chooses a price. If Warmbreeze prices high, Flashfry will make more profit if it chooses a chooses a price. Considering all of the…C. Two airline companies decide to engage in collusive behaviour. 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. (i) Draw the payoff matrix for this game. Airline A's Decision Low Price High Price Low Price Airline A Airline A Airline B's Decision (ii) What is the Nash equilibrium in this game? Explain. Airline B Airline B High Price Airline B Airline A Airline A Airline B (iii) If a group of sellers could form a cartel, what quantity and price would they try to set?
- Suppose there are only two firms that sell smartphones: Flashfone and Pictech. 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 phones. Pictech Pricing High Low Flashfone Pricing High 11, 11 2, 18 Low 18, 2 10, 10 For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $18 million, and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a (HIGH OR LOW) price, and if Flashfone prices low, Pictech will make more profit if it chooses a (HIGH OR LOW) price. If Pictech prices high, Flashfone will make more profit if it chooses a (HIGH OR LOW) price, and if Pictech prices low, Flashfone will make more profit if it chooses a (HIGH OR LOW)…Consider the pricing game below: Two textbook companies, Boring Books and Simple Text, are trying to decide what price to charge for textbooks. The first number in each case is the profit earned by the Simple Text company Simple Text $80 books $25 books Boring Books $70 books 500, 400 100, 50 $25 books 400, 500 50, 100 What is true about threats in this game? A. Simple can change the equilibrium by means of a credible threat; Boring cannot. B. Boring can change the equilibrium by means of a credible threat; Simple cannot. C. Boring can change the equilibrium by means of a credible threat only if it can move before Simple. OD. Neither firm has a credible threat with which to change this equilibrium.Game Theory. 1. Yuppie town has two food stores, LA Boulangerie, which sells bread, and La Fromagerie, whichsells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If LaBoulangerie's price is P 1 dollars per loaf of bread and La Fromagerie's price is P 2 dollars per pound ofcheese, their respective weekly sales, Q 1 thousand loaves of bread and Q 2 thousand pounds ofcheese, are given by the following equations: a) For each store, write its profits as a function of P 1 and P 2 , and find the Nash equilibriumprices in this game. b) Suppose that the two stores collude and set prices jointly to maximize the sum of theirprofits. Find the joint profit-maximizing prices for the stores.c) Provide an explanation for the differences between the Nash equilibrium prices and thosethat maximize joint profits.
- aepioymentld=598281800483229979995799&elSBN=9780357133606&id%3D1061548135&snapshotld%32200166& 6. Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell smartphones: Flashfone and Pictech. 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 phones. Pictech Pricing High Low High 11, 11 2, 15 Flashfone Pricing Low 15, 2 8, 8 For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $15 million, and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a price, and if Flashfone prices low, Pictech will make more profit if it chooses ▼ price. a If Pictech prices high, Flashfone will make more profit if it chooses a price, and…Suppose there are only two firms that sell smartphones: Flashfone and Pictech. 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 phones. Pictech Pricing High Low Flashfone Pricing High 11, 11 3, 15 Low 15, 3 9, 9 For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $15 million, and Pictech will earn a profit of $3 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a price, and if Flashfone prices low, Pictech will make more profit if it chooses a price. If Pictech prices high, Flashfone will make more profit if it chooses a price, and if Pictech prices low, Flashfone will make more profit if it chooses a price. Considering all of the…12. To advertise or not to advertise Suppose that two firms, Hatte Latte and Bean Bruuer, are the only sellers of espresso 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: Bean Bruuer Advertise Doesn't Advertise Advertise Hatte Latte Doesn't Advertise 9,9 3,15 15,3 11, 11 For example, the lower left cell of the matrix shows that if Bean Bruuer advertises and Hatte Latte does not advertise, Bean Bruuer will make a profit of $15 million, and Hatte Latte will make a profit of $3 million. Assume this is a simultaneous game and that Hatte Latte and Bean Bruuer are both profit-maximizing firms. If Hatte Latte chooses to advertise, it will earn a profit of $ does not advertise. million if Bean Bruuer advertises and a profit of $ million if Bean Bruuer If Hatte Latte chooses not to advertise, it will earn a profit of $ does not advertise. million if Bean Bruuer…