Where is the Nash Equilbrium? * Marvel Comics MARVE Mandarin Jarvis $300 $100 $200 $80 $50 $300 $500 $800 DC. O DC chooses Alfred, Marvel chooses Jarvis O DC chooses Alfred, Marvel chooses Mandarin O DC chooses Joker, Marvel chooses Jarvis O DC chooses Joker, Marvel chooses Mandarin DC Comics Joker Alfred
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- 4. Why does the Prisoner's Dilemma not always work like it does in theory?What are the 5 key elements under Bretton Woods?6 Two people will select a policy that affects both of them by applying a "veto" in a sequential and alternate manner, that is: person 1 begins to veto a policy and then person 2 exercises his "veto" with the remaining policies; the process repeats until only one policy remains. Assume that there are 3 policies: X,Y,Z, and that person 1 prefers X to Y to Z and person 2 prefers Z to Y to X. a. Represents the game extensively b. Give the number of subgames C. Indicate the total strategies of the players d. find all subgame perfect nash equilibria e. Find all Nash Equilibriums.
- Roger and Rafael play a game with the following rules. Roger is given $250 to divide between himself and Rafael. Rafael does not get to choose but he can reject Roger’s offer if he does not like it. If Rafael rejects, both get nothing. If Rafael accepts, both get the split that Roger decided. a. What is this game called? b. Find all Nash equilibria for this game. c. When this game is played in the real world, do the predictions in part 1b materialize? Why/why not? d. Are all Nash equilibria in part 1b Pareto Optimal? Explain1. The Dean of Columbia College is looking for a tenured professor to teach in the Core Curriculum. Monetary incentives are needed to get someone interested, but how much? The Dean decides to use an auction to do the job. Two professors, equally qualified, applied for the position. The two professors are invited to covertly submit their bids to the Dean. The Dean will give the position to the professor who submits the lower bid (if there is a tie, the job is assigned randomly). The professor who gets the job will be paid his/her own bid. Each professor's reservation value for teaching the course is his/her private information. It is common knowledge that their reservation values are independently and uniformly distributed over [0, 100). So if a professor with a reservation value of 50 wins with a bid of 60, his payoff is 60 – 50 = 10. (a) Find a Bayesian Nash equilibrium of the bidding game. (b) Suppose the two professors' reservation values are 60 and 70, respec- tively. What are…1. The Dean of Columbia College is looking for a tenured professor to teach in the Core Curriculum. Monetary incentives are needed to get someone interested, but how much? The Dean decides to use an auction to do the job. Two professors, equally qualified, applied for the position. The two professors are invited to covertly submit their bids to the Dean. The Dean will give the position to the professor who submits the lower bid (if there is a tie, the job is assigned randomly). The professor who gets the job will be paid his/her own bid. Each professor's reservation value for teaching the course is his/her private information. It is common knowledge that their reservation values are independently and uniformly distributed over [0, 100]. So if a professor with a reservation value of 50 wins with a bid of 60, his payoff is 60 – 50 = 10. (a) Find a Bayesian Nash equilibrium of the bidding game. (b) Suppose the two professors' reservation values are 60 and 70, respec- tively. What are…
- Crime and Punishment Ben and Jerry are two partners-in-crime, who have robbed a bank. Ben got caught and is ques- tioned by the police. He has got three options: to stay silent, confess, or tell the police that it was Jerry. Jerry can either remain at home, go to the police and blame Ben, or kill Ben's dog and cat. Ben feels good about confessing if Jerry does not do anything against him and feels good going to the police otherwise. Jerry on the other hand would hate to kill Ben's dog and cat, but would indulge in the revenge if Ben went to the police. For Jerry it is bad if Ben goes to the police. Ben is on the left and Jerry is on top, and their payoffs are on the left/right. Jerry Home Silent 3/4 -4/5-5/3 Confess -2/5 -3/6 -7/-5 Police -3/-7 -1/-6 4/2 Find the Nash equilibrium in pure strategies when 1. Ben and Jerry move at the same time, not knowing what the other does. 2. Ben moves first, then Jerry can observe this and subsequently makes his choice. 3. Jerry moves first, then…A thug wants the contents of a safe and is threatening the owner, the only person who knows the code, to open the safe. The table shows the value that each person places on the various possible outcomes. Thug Safe's Owner Open the safe, thug does not kill 4 3 Open the safe, thug kills 2 1 Do not open, thug kills 1 Do not open, thug does not kill 3 4 In the rollback equilibrium, the owner, ; and the thug does not open the safe; kill opens the safe; kill opens the safe; does not kill does not open the safe; does not kill O O O Oexplain how the currency of invoicing can be used as an offensive and/or defensive strategy?
- Кееp production $200 million $300 million Using what you know about the prisoner's dilemma, what would be the profit for Antel and constant IMD in millions? (cooperate Antel profit Antel profit is $20 million is $200 million Antel options IMD profit is IMD profit is $20 million $100 million Increase production (act independently) Antel profit Antel profit is $100 million is $300 million Antel profit: S million million IMD profit: S What would be the best collective option for both firms? Select all of the reasons Antel and IMD would make more profit at the original constant production level? соорerate Because overall demand for computer chips act independently will increase Because they can both charge more for the product at the given level of production Because it restricts the supply of computer chipsQUESTION 14 Which of the following is the Nash equilibrium of the game in the picture? Du Q = 30 Q = 40 Q = 30 du's profit = 900 Etisalat du's profit = 1000 Etisalat's profit = 900 Etisalat's profit = $750 Q = 40 Etisalat's profit = 1000 du's profit = 750 a. Du chooses 30, Etisalat chooses 40. b. Du chooses 30, Etisalat chooses 30. C. Du chooses 40, Etisalat chooses 40. d. Du chooses 40, Etisalat chooses 30. du's profit = 800 Etisalat's profit = 800Which of the following is FALSE related to the Bank Run game ? A. Player 1 has 4 strategies in the normal form associated with the Bank Run game B. Player 2 has two types C. If a player has a strongly dominated action conditional on a state happening, then that dominated action cannot be played in equilibrium in that state