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- Sophia is a contestant on a game show and has selected the prize that lies behind door number 3.The show’s host tells her that there is a 50% chance that there is a $15,000 diamond ring behindthe door and a 50% chance that there is a goat behind the door (which is worth nothing to Sophia,who is allergic to goats). Before the door is opened, someone in the audience shouts, “I will giveyou the option of selling me what is behind the door for $8,000 if you will pay me $4,500 for thisoption.” [Assume that the game show allows this offer.]a. If Sophia cares only about the expected dollar values of various outcomes, will she buythis option?b. Explain why Sophia’s degree of risk aversion might affect her willingness to buy thisoptionThere are five students who are looking to buy one second-hand textbook each. Their willingness-to-pay are $5, $6, $8, $12, and $15, respectively. Based on this information, which of the following statements is correct? Select one: a. If a seller is one of many identical sellers and his reservation price is $8, then he is guaranteed to sell his textbook. b. To sell three books, the maximum price that can be charged is $8. c. The student with a willingness-to-pay of $15 is the richest. d. Their willingness-to-pay indicates an upward-sloping demand curve.Subgame Perfect Equilibrium. Stephen J. Seagull must decide whether or not to start a new movie project. If he decides not to, he and Clod VandeCamp both get a utility of 10. If he decides to begin the project, both he and Clod must simultaneously decide who the director should be: George Spellbinder, or Ed Tree. If they disagree on the director, the movie isn't made, but both have wasted time, so they get only a utility of 0. If they agree on George Spellbinder, the movie will be a roaring success, and each gets a utility of 20. If they agree on Ed Tree, the movie will be terrible. and they will only get a utility of 5. (a). Draw the extensive form of this game. (b). Write down the normal form. (c). Find all Nash equilibria. (d). Apply the theory of iterated elimination of weakly dominated strategies and state its prediction. (e). Find all the subgame perfect equilibria.
- In the movie Rebel Without a Cause, James Dean and Buzz Gunderson compete for thefavours of sixteen year old Judy. Buzz's gang members steal two cars. The group of teenagers gathers on aLos Angeles lookout, with a cliff that drops down to the Pacific Ocean. James and Buzz are to drive the stolencars toward the cliff. The first person to jump from his car is declared the chicken (which is bad). The lastperson to jump is the hero (which is good), capturing Judy's affection and the gang's respect. The driverlesscars continue over the cliff and plunge to the rocks at its base.Each driver can make two possible actions. Jump when he feels endangered (be a chicken) or jump AFTERthe other driver jumps (be a rooster). Assuming that both feel endangered at the same moment, the followingmatrix represents the payoffs for James and Buzz for each choice of strategy.BuzzChicken RoosterJames Chicken 3, 3 -10, 20Rooster 20, -10 -50, -50 PLEASE ANSWER THE BELOW QUESTION WITH REFERECE TO THE ABOVE…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 chipsDefine Willingness to sell?
- In game theory, a dominant strategy is the best strategy to pick, no matter which moves are chosen by the other player. O to make the exact same move that was made by the other player. the choice that causes the payoff for the other player to be minimized, regardless of the payoff it earns the best strategy to pick, assuming the other player makes his or her best possible choice. to allocate all personnel resources towards defensive talent in order to dominate opposing offenses. 46°F(a) Consider the following games which are commonly used in laboratory exper- iments on social preferences. For each: describe the game, explain how the game would be played by selfish players and summarise the main findings from the experimental evidence. i. Dictator game ii. Ultimatum bargaining game iii. Trust game (b) Carefully comment on the figure below, which shows the percentage of third parties who punish in the dictator game and is taken from Fehr and Fischbacher (2004), "Third party punishment and social norms", Evolution and Human Behavior 25(2).. Percentage of punishers E. Fehr, U. Fischbacher/ Evolution and Human Behavior 25 (2004) 63-87 100 90 80 70 60 50 40 30 20 10 0 A percentage of third parties who punish --percentage of recipients who belief that third parties punish 0 10 20 30 Dictator's transfer to recipient Fig. 1. Percentage of third parties who punished in the dictator game. 40 50 (c) Explain why anonymity of the subjects is an important feature of public good…(a) Consider the following games which are commonly used in laboratory exper- iments on social preferences. For each: describe the game, explain how the game would be played by selfish players and summarise the main findings from the experimental evidence. i. Dictator game ii. Ultimatum bargaining game iii. Trust game (b) Carefully comment on the figure below, which shows the percentage of third parties who punish in the dictator game and is taken from Fehr and Fischbacher (2004), "Third party punishment and social norms", Evolution and Human Behavior 25(2). [10 marks] Percentage of punishers E. Fehr, U. Fischbacher/ Evolution and Human Behavior 25 (2004) 63-87 100 90 80 70 60 50 40 30 20 10 0 A percentage of third parties who punish --percentage of recipients who belief that third parties punish 0 10 20 30 Dictator's transfer to recipient Fig. 1. Percentage of third parties who punished in the dictator game. 40 50 (c) Explain why anonymity of the subjects is an important feature of…