Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the cleaning. If neither restaurant cleans, each will earn $13,000; alternatively, if they both hire workers to clean, each will earn only $10,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $18,000, and the other restaurant will make only $6,000. Complete the following payoff matrix using the information just given. (Note: All-You-Can-Eat Café and GoodGrub Diner are both profit-maximizing firms.) All-You-Can-Eat Café Cleans Up Doesn't Clean Up Cleans Up GoodGrub Diner Doesn't Clean Up If All-You-Can-Eat Café and GoodGrub Diner decide to collude, the outcome of this game is as follows: All-You-Can-Eat Café and

Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the cleaning. If neither restaurant cleans, each will earn $13,000; alternatively, if they both hire workers to clean, each will earn only $10,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $18,000, and the other restaurant will make only $6,000. Complete the following payoff matrix using the information just given. (Note: All-You-Can-Eat Café and GoodGrub Diner are both profit-maximizing firms.) All-You-Can-Eat Café Cleans Up Doesn't Clean Up Cleans Up GoodGrub Diner Doesn't Clean Up If All-You-Can-Eat Café and GoodGrub Diner decide to collude, the outcome of this game is as follows: All-You-Can-Eat Café and

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.9P

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Suppose there is a remote stretch of highway along which two restaurants, Last Chance Café and Desolate Diner, operate in a duopoly. Neither restaurant invests in keeping up with health code regulations, but regardless they both have customers as they are the only dining options along a 79-mile portion of the road. Both restaurants know that if they clean up and comply with health codes they will attract more customers, but this also means that they will have to pay workers to do the cleaning. If neither restaurant cleans, each will earn $10,000; alternatively, if they both hire workers to clean, each will earn only $7,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $15,000, and the other restaurant will make only $3,000. Complete the following payoff matrix using the information just given. (Note: Last Chance Café and Desolate Diner are both profit-maximizing firms.) Desolate Diner…
We have a group of three friends: Kramer, Jerry and Elaine. Kramer has a $10 banknote that he will auction off, and Jerry and Elaine will be bidding for it. Jerry and Elaine have to submit their bids to Kramer privately, both at the same time. We assume that both Jerry and Elaine only have $2 that day, and the available strategies to each one of them are to bid either$0, $1 or $2. Whoever places the highest bid, wins the $10 banknote. In case of a tie (that is, if Jerry and Elaine submit the same bid), each one of them gets $5. Regardless of who wins the auction, each bidder has to pay to Kramer whatever he or she bid. Does this game have a Nash Equilibrium? (If not, why not? If yes, what is the Nash Equilibrium?)
We have a group of three friends: Kramer, Jerry and Elaine. Kramer has a $10 banknote that he will auction off, and Jerry and Elaine will be bidding for it. Jerry and Elaine have to submit their bids to Kramer privately, both at the same time. We assume that both Jerry and Elaine only have $2 that day, and the available strategies to each one of them are to bid either$0, $1 or $2. Whoever places the highest bid, wins the $10 banknote. In case of a tie (that is, if Jerry and Elaine submit the same bid), each one of them gets $5. Regardless of who wins the auction, each bidder has to pay to Kramer whatever he or she bid. Does Jerry have any strictly dominant strategy? Does Elaine?
q52 If you advertise and your rival advertises, you each will earn 14 million in profits. If neither of you advertises, you will each earn 20 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn 10 million and the non-advertising firm will earn 16 million. If you and your rival plan to be in business for only one year, the Nash equilibrium is a. for each firm to advertise. b. for the other firm to advertise and your firm not to advertise. c. for your firm to advertise and the other not to advertise. d. for neither firm to advertise.
Suppose Toyota and Honda must decide whether to make a new breed of side-impact airbags standard equipment on all models. Side-impact airbags raise the price of each automobile by $1,000. If both firms make side-impact airbags standard equipment, each company will earn profits of $0.5 billion. If neither company adopts the side-impact airbag technology, each company will earn $1.5 billion. If one company adopts the technology as standard equipment and the other does not, the adopting company will earn a profit of $2 billion and the other company will earn $-1 billion.If you were a decision maker at Honda, would you make side-impact airbags standard equipment?multiple choice 1 There is not enough information to answer the question. No Yes If Toyota and Honda were able to cooperate, would you expect this same outcome?multiple choice 2 Yes No There is not enough information to answer the question.
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 Toyota and Honda must decide whether to make a new kind of side-impact airbags standard equipment on all models. Side impact-airbags raise the price of each automobile by $1000. If both firms make side-impact airbags standard equipment, each company will earn profits of $2.5 billion. If neither company adopts the side-impact airbag technology, each company will earn $1 billion (due to lost sales to other automakers). If one company adopts the technology as standard equipment and the other does not, the adopting company will earn a profit of $3 billion and the other company will lose $1.5 billion. If you were a decision maker at Honda, would you make side-impact airbags standard equipment?
Two oligopolistic firms have to decide on the pricing strategy. Each can either choose either a high or a low price. If they both choose a high price, each will make $12 million, but if they both choose a low price, each will make $ 8 million. If one sets a high price and other a low one, the low-priced firm will make $16 million, but the high-priced firm will make only $4 million. It is illegal for each firm to communicate with each other. a) Which strategy would both of them ultimately opt for? b) What would be the pay-off for this strategy?
A clothing store and a jeweler are located side by side in a shopping mall. If the clothing store spend C dollars on advertising and the jeweler spends J dollars on advertising, then the profits of the clothing store will be (36 + J )C - 2C 2 and the profits of the jeweler will be (30 + C )J - 2J 2. The clothing store gets to choose its amount of advertising first, knowing that the jeweler will find out how much the clothing store advertised before deciding how much to spend. The amount spent by the clothing store will be Group of answer choices $17. $34. $51. $8.50. $25.50.
q19 If you advertise and your rival advertises, you each will earn $4 million in profits. If neither of you advertises, you will each earn $10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn $1 million and the non-advertising firm will earn $5 million. If you and your rival plan to be in business for 10 years, then the Nash equilibrium is a. for each firm to not advertise in any year. b. for neither firm to advertise in early years but to advertise in later years. c. for each firm to advertise every year. d. for each firm to advertise in early years but not advertise in later years.
two players, a and b are playing an asymmetrical game. there are n points on the game board. each turn player a targets a pair of points and player b says whether those two points are connected or unconnected. a can target each pair only once and the game ends when all pairs have been targeted. player b wins if a point is connected with all other points on the very last turn, while player a wins if any point is connected with all other points on any turn but the very last one or if no point is connected to all other points after the last turn. for what values of n does either player have a winning strategy?
12.3 Armed Conflict: Consider the following strategic situation: Two rival armies plan to seize a disputed territory. Each army's general can choose either to attack (A) or to not attack (N). In addition, each army is either strong (S) or weak (W) with equal probability, and the realizations for each army are independent. Furthermore the type of each army is known only to that army's general. An army can capture the territory if either (i) it attacks and its rival does not or (ii) it and its rival attack, but it is strong and the rival is weak. If both attack and are of equal strength then neither captures the territory. As for payoffs, the territory is worth m if captured and each army has a cost of fighting equal to s if it is strong and w if it is weak, where s <w. If an army attacks but its rival does not, no costs are borne by either side. Identify all 12.7 Exercises • 267 the pure-strategy Bayesian Nash equilibria of this game for the following two cases, and briefly describe…