Answered: Nash equilibria.

Business

Economics

Nash equilibria.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Janet's broad attitude to risk (risk averse, risk neutral, or risk loving) is independent of her wealth. She has initial wealth w and is offered the opportunity to buy a lottery ticket. If she buys it, her final wealth will be either w + 4 or w – 2, each equally likely. She is indifferent between buying the ticket and not buying it. Janet offers her friend Sam (who has identical preferences and initial wealth) the following proposition: They buy the ticket together, and share the cost and proceeds equally. Sam has another idea: They buy two tickets (that have independent outcomes) and share the costs and proceeds equally. Which of the following statements is true? O a. There are risk averse expected utility maximisers who would prefer Janet's idea to Sam's idea. O b. Any expected utility maximiser whose utility is a strictly increasing function of wealth would prefer Sam's idea to Janet's idea. O c. Any risk averse expected utility maximiser would prefer Sam's idea to Janet's idea. O…
Imagine that at age 25 you have the choice to begin to deposit $8000 per year into your 401k. You will retire at 65. The 401k grows at (an average of) 6% per year (it compounds yearly). Say that your utility for money is just the value of money: u(x) = x. Say that you have a “standard” discount rate of 0.95, which choice would an individual make? What is the implied break-even \beta if you have quasi-hyperbolic preferences?
How do you solve this problem? (see attachment)
After graduation, you face a choice. You can work for a multinational consulting firm and earn a starting salary (including benefits) of $45,000, or you can start your own consulting firm using $6,000 of your own savings. If you keep your money in a savings account, you can earn an interest rate of 5 percent. You choose to start your own consulting firm. At the end of the first year, you add up all of your expenses and revenues. Your expenses include $14,000 for rent, $1,600 for office supplies, $22,000 for labor, and $4,900 for telephone expenses. After operating your consulting firm for a year, your total revenues are $102,000. Instructions: Enter your answers as a whole number. a. What is your accounting profit? $ 44,500 8 b. What is your economic profit? $ 4,150
Suppose a company is hiring graduates from Harvard and Yale and they want to hire people with very high predicted productivity. All they use to predict productivity is where they went to school and their GPA. There is no difference in average true ability between students at Harvard and Yale. However, while Yale GPAs are excellent predictors of performance at this company, Harvard GPAs are not. The company hires very few graduates and the cutoff for expected productivity is well above average. What will be true about the GPA cutoffs for the two schools? A. The cutoff for Harvard will be higher.B. The cutoff for Yale will be higher.C. The cutoffs will be the same.D. There is not enough information to answer this question.
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?
Janet's broad attitude to risk (risk averse, risk neutral, or risk loving) is independent of her wealth. She has initial wealth w and is offered the opportunity to buy a lottery ticket. If she buys it, her final wealth will be either w + 4 or w – 2, each equally likely. She is indifferent between buying the ticket and not buying it. Janet offers her friend Sam (who has identical preferences and initial wealth) the following proposition: They buy the ticket together, and share the cost and proceeds equally. Sam has another idea: They buy two tickets (that have independent outcomes) and share the costs and proceeds equally. Suppose that Janet's and Sam's utility of income is given by u(x) = In x and the initla wealth of each one of them is equal to w = 4. Which of the following statements is true? O a. Both agents prefer Sam's solutions to Janet's solution. b. Both agents prefer Janet's solutions to Sam's solution. The agents are indifferent between Janet's solutions to Sam's solution.…
Lucy and Henry each have $1652. Each knows that with 0.1 probability, they will lose 85% of their wealth. They both have the option of buying a units of insurance, with each unit costing $0.1. Each unit of insurance pays out $1 in the event the loss occurs. The cost of the insurance policy is paid regardless of whether the loss is incurred. Lucy's utility is given by u²(x) = x, Henry's utility is given by u¹(x) = √√x. Answer the following: (If rounding is needed, only round at the end and write your answer to three decimal places.) a) Without insurance, what is the expected value of the loss? b) c) d). e) ( For Henry, facing the "lottery " above without any insurance is as bad as losing how many dollars for sure? Find Lucy's utility maximising choice of a. If more than 1 exist, enter the largest a. Now suppose insurance costs $0.2. Find Lucy's utility maximising choice of a. If more than 1 exist, enter the largest a. What is Henry's utility maximising choice of a with the new price of…
Janet's broad attitude to risk (risk averse, risk neutral, or risk loving) is independent of her wealth. She has initial wealth w and is offered the opportunity to buy a lottery ticket. If she buys it, her final wealth will be either w + 4 or w – 2, each equally likely. She is indifferent between buying the ticket and not buying it. Janet offers her friend Sam (who has identical preferences and initial wealth) the following proposition: They buy the ticket together, and share the cost and proceeds equally. Should Sam accept the offer? O a. Yes, Sam should accept the offer. O b. No, Sam should reject the offer. O c. Sam would be indifferent between accepting an rejecting the offer. O d. There is not enough information to determine if Sam should accept or reject the offer.
**Practice** In order to alleviate their risks, they are considering a risk-sharing agreement. Carol would buy one CC and David would buy one DD. Six months from now, they would sell their coins, add up the total amount of money, and split it equally between them. Thus, if only one of the coins is successful, they would both still have some positive amount of money at the end. Assume that they can verify whether the other really made the investment. They know whether the investment is successful, since the price of the coin is public information, and they trust that the other will pay them as promised. Which of the following statements is accurate?A. They will not make that risk-sharing agreement.B. Carol is willing to take the risk-sharing agreement, but David is not.C. They may be willing to make that risk-sharing agreement, but it depends on information not given in the question.D. They will surely make the risk-sharing agreement.E. None of the statements above is correct.
Clancy has difficulty finding parking in his neighborhood and, thus, is considering the gamble of illegally parking on the sidewalk because of the opportunity cost of the time he spends searching for parking. On any given day, Clancy knows he may or may not get a ticket, but he also expects that if he were to do it every day, the average amount he would pay for parking tickets should converge to the expected value. If the expected value is positive, then in the long run, it will be optimal for him to park on the sidewalk and occasionally pay the tickets in exchange for the benefits of not searching for parking. Suppose that Clancy knows that the fine for parking this way is $100, and his opportunity cost (OC) of searching for parking is $20 per day. That is, if he parks on the sidewalk and does not get a ticket, he gets a positive payoff worth $20; if he does get a ticket, he ends up with a payoff of
At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes. The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0. Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, andbi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20 What is the best contribution level of any employee ii for i=1,2,…,10i=1,2,…,10. At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes. The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi,…