Economics, Student Value Edition (7th Edition)
7th Edition
ISBN: 9780134739229
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 14, Problem 14.2.5PA
Sub part (a):
To determine
Pay off matrix of Bob and Tom.
Sub part (b):
To determine
Dominant strategy.
Sub part (c):
To determine
Dominant strategy.
Sub part (d):
To determine
Dominant strategy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a lighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the confessor will receive 15 years and the one who stayed silent will receive 35 years. Table 10.7 below represents the choices available to Jane and Bill. If Jane trusts Bill to stay silent, what should she do? If Jane thinks that Bill will confess, what should she do? Does Jane have a dominant strategy? Does Bill have a dominant strategy? A = Confess; B = Stay Silent. (Each results entry lists Jane’s sentence first (in years), and Bill's sentence second.)
Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a lighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the confessor will receive 15 years and the one who stayed silent will receive 35 years. The table below represents the choices available to Jane and Bill.
If Jane trusts Bill to stay silent, what should she do? A = Confess; B = Stay Silent (Each results entry lists Janes's sentence first (in years), and Bill's sentence second.)
Jane
A
B
Bill
A
(30, 30)
(15, 35)
B
(35, 15)
(20, 20)
Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a lighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the confessor will receive 15 years and the one who stayed silent will receive 35 years. The table below represents the choices available to Jane and Bill.
If Jane thinks that Bill will confess, what should she do? A = Confess; B = Stay Silent. (Each results entry lists Janes's sentence first (in years), and Bill's sentence second.)
Chapter 14 Solutions
Economics, Student Value Edition (7th Edition)
Ch. 14 - Prob. 14.1.1RQCh. 14 - Prob. 14.1.2RQCh. 14 - Prob. 14.1.3RQCh. 14 - Prob. 14.1.4PACh. 14 - Prob. 14.1.5PACh. 14 - Prob. 14.1.6PACh. 14 - Prob. 14.1.7PACh. 14 - Prob. 14.1.8PACh. 14 - Prob. 14.1.9PACh. 14 - Prob. 14.1.10PA
Ch. 14 - Prob. 14.2.1RQCh. 14 - Prob. 14.2.2RQCh. 14 - Prob. 14.2.3RQCh. 14 - Prob. 14.2.4RQCh. 14 - Prob. 14.2.5PACh. 14 - Prob. 14.2.6PACh. 14 - Prob. 14.2.7PACh. 14 - Prob. 14.2.8PACh. 14 - Prob. 14.2.9PACh. 14 - Prob. 14.2.10PACh. 14 - Prob. 14.2.11PACh. 14 - Prob. 14.2.12PACh. 14 - Prob. 14.2.13PACh. 14 - Prob. 14.2.14PACh. 14 - Prob. 14.2.15PACh. 14 - Prob. 14.2.16PACh. 14 - Prob. 14.2.17PACh. 14 - Prob. 14.2.18PACh. 14 - Prob. 14.3.1RQCh. 14 - Prob. 14.3.2RQCh. 14 - Prob. 14.3.3PACh. 14 - Prob. 14.3.4PACh. 14 - Prob. 14.3.5PACh. 14 - Prob. 14.3.6PACh. 14 - Prob. 14.4.1RQCh. 14 - Prob. 14.4.2RQCh. 14 - Prob. 14.4.3PACh. 14 - Prob. 14.4.4PACh. 14 - Prob. 14.4.5PACh. 14 - Prob. 14.4.6PACh. 14 - Prob. 14.4.7PACh. 14 - Prob. 14.4.8PACh. 14 - Prob. 14.2CTECh. 14 - Prob. 14.3CTE
Knowledge Booster
Similar questions
- Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a lighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the confessor will receive 15 years and the one who stayed silent will receive 35 years. The table below represents the choices available to Jane and Bill. Which criminal(s) have a dominate strategy to cheat? A = Confess; B = Stay Silent. (Each results entry lists Janes's sentence first (in years), and Bill's sentence second.) Jane A B Bill A (30, 30) (15, 35) B (35, 15) (20, 20) Question 3 options: Only Bill has a dominate strategy so he should cheat Only Jane has a dominate strategy so she should cheat Both Bill…arrow_forwardConsider a game with two players A and B and two strategies X and Z. If both players play strategy X, A will earn $300 and B will earn $700. If both players play strategy Z, A will earn $1,000 and B will earn $600. If Player A plays strategy X and player B plays strategy Z, A will earn $200 and B will earn $300. If Player A plays strategy Z and player B plays strategy X, A will earn $500 and B will earn $400. Player B finds that: a) strategy Z is a dominant strategy. b) strategy X is a dominant strategy. c) he has no dominant strategy. d) strategy X is a dominated strategy. e) strategy Z is a dominated strategy.arrow_forwardTwo cigarette manufacturers repeatedly play the following simultaneous-move billboard advertising game. If both advertise, each earns profits of $0 million. If neither advertises, each earns profits of $10 million. If one advertises and the other does not, the firm that advertises earns $20 million and the other firm loses $1 million. If there is a 10 percent chance that the government will ban cigarette sales in any given year, can the firms “collude” by agreeing not to advertise?arrow_forward
- Consider the following game played by four individuals, players 1, 2, 3, and 4. Each individual has $10,000. Each player can donate between $0 and $10,000 to build a public park that costs $20,000. If they collect enough money, they construct the park, which is worth $9,000 to each of them. However, if they collect less than $20,000, they cannot build a park. Furthermore, regardless of whether the park is built or not, individuals lose any donations that they make. a) Describe the Nash equilibria for a simultaneous game. What makes them equilibria? Hint: There are many equilibria, so you may want to use a mathematical expression! b) Suppose that players 1, 2, and 3, each donate $4,000 for the park. How much will player 4 donate and why. What are the resulting payoffs for the players? c) Suppose instead that player 1 donated first, player 2 second, player 3 third, and player 4 last. Furthermore, players could only donate in intervals of 1,000 (0, $1,000, $2,000, etc.). How much will…arrow_forwardTwo street racers are playing a simultaneous game of chicken. They have to race towards each other and whoever swerves first is chicken and faces shame, a loss of 8. while the winner enjoys a gain of 3. If neither stop, they would crash into each other, a loss of 10. If both of them swerve at the same time, they are both chicken and face a loss of 5 each If player B destroys his own brakes before the race, and player A sees that, what would the new Nash equilibrium be in this case? a. Player A stops, Player B does not b. Player B stops, Player A does not c. Both players stop d. Neither players stoparrow_forwardSuppose that two corporations, Analytica and Bobmetrics, are negotiating the share of profit from a time sensitive joint project. The total profit generated by the project is £10 million. However, every day that the deal is delayed reduces the value of the total profit by £1 million. The way the negotiation is set up is the following: in the first day, Analytica’s lawyers propose a split of the profits, and Bobmetrics’ lawyers can agree, or they can discuss it some more and make their own offer on the second day. After that the two teams alternate. Analytica gets to make proposals on days 1, 3, 5, 7, and 9, while Bobmetrics makes proposals on days 2, 4, 6, 8 an 10. On day 11, the profit from the joint project becomes 0. The negotiations stop when either company accepts the proposal of the other, or on day 11. Find the subgame perfect Nash equilibria of this dynamic negotiation game. What happens when the loss of value is slower or faster? What conclusions can you draw? Briefly explain…arrow_forward
- two timber companies, Alpha and Beta, have to decide whether to harvest timber from the North Hill or the South Hill and then sell the timbers in the same market. If both harvest from North Hill, each company can harvest 100 tons of timber. If both companies harvest from South Hill, each company can harvest 150 tons of timber. If one company harvests from North Hill and the other harvests from South Hill, the company at North Hill can harvest 150 tons of timber while the company at South Hill can harvest 250 tons of timber. The price of timber is dependent on the total supply of timber in the market. The price will be $180 per ton if the total supply is 200 tons, $150 per ton if the total supply is 300 tons and $100 per ton if the total supply is 400 tons. To both companies, the cost of harvesting in North Hill is $5,000 and the cost of harvesting in South Hill is $10,000. (a) If Alpha and Beta were to make a decision simultaneously, construct the payoff matrix in terms of profit for…arrow_forwardTwo roommates John and Joe are playing a simultaneous game of cleaning the apartment. If neither of them clean, the apartment gets filthy and both get a utility of 2. If John cleans and Joe doesn’t, John gets a utility of 1 and Joe gets a utility of 4. If Joe cleans and John doesn’t, Joe gets a utility of 1 and John gets a utility of 4 and if both clean up the apartment, they each get a utility of 3. If the apartment owner decides to fine both the roommates if the apartment is dirty, such that now if neither of them clean they each get a 5 utility loss, what would the new equilibrium be now? a. John cleans, Joe doesn’t b. Joe cleans, John doesn’t c. Neither of them clean the apartment d. Both A&Barrow_forwardTwo athletes of equal ability are competing for a prize of $10,000. Each is deciding whether to take a dangerous performance enhancing drug. If one athlete takes the drug, and the other does not, the one who takes the drug wins the prize. If both or neither take the drug, they tie and split the prize. Taking the drug imposes health risks that are equivalent to a loss of X dollars. a) Draw a 2×2 payoff matrix describing the decisions the athletes face. b) For what X is taking the drug the Nash equilibrium? c) Does making the drug safer (that is, lowering X) make the athletes better or worse off? Explain.arrow_forward
- 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 11, 11 2, 18 Low 18, 2 10, 10 For example, the lower-left cell shows that if Padmania prices low and Capturesque prices high, Padmania will earn a profit of $18 million, and Capturesque will earn a profit of $2 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 will make more profit if it chooses a _____…arrow_forwardTwo parties, Juan and Ben, have been negotiating the purchase by Ben of Juan's car. Juan receives a new and higher bid for his car from Adriana. How might Adriana's bid change Juan and Ben's threat values? The threat values are unchanged. Juan now values the car at the price of Adriana's bid, her bid is his opportunity cost of selling the car to Ben, and that opportunity cost is Juan's new threat value. Juan's new threat value is the product of the difference between Ben and Adriana's offers and the probability the car will be sold to Adriana. Juan's threat value is unchanged, but Ben has to consider his new opportunity costarrow_forwardBernie and Leona were arrested for money laundering and were interrogated separately by the phone. Bernie and Leona were each presented with the following independent offers. If one confesses and the other doesn’t, then who confesses goes free and the other will receive a 20-year prison sentence; if both confess, each receives a 10-year prison sentence; and if neither confesses, each will only receive a 2-year prison sentence.a. Use the above information to construct a payoff matrix for Bernie and Leonab. Does either Bernie or Leona have a dominant strategy? Why or why not?c. Does a Nash equilibrium exist? Why or why not?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
- Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education