Suppose that there are three movies each in a week. In week 1, we have Mediocre movie that generates 3 utils (unit of utility). In week 2, we have Good movie that generates 5 utils. In week 3, we have Johnny Depp movie that generates 8 utils. Assume that the agent has quasi-hyperbolic discounting with B = 0.5 and & = 1, and that the agent must give up exactly one movie and receive 0 util in that week. (a) If the agent is fully naive, which movie will he/she give up? (b) If the agent is fully sophisticated, which movie will he/she give up?
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- Emma has a utility functionU(x1, x2, x3) = logx1+ 0.8 logx2+ 0.72 logx3over her incomes x1, x2, x3 in the next three years. This is an example of(A) expected value;(B) quasi-hyperbolic utility function;(C) standard discounted utility;(D) none of the above. Emma’s preferences can exhibit which of the following behavioral patterns?(A) preference for flexibility;(B) context effects;(C) time inconsistency;(D) intransitivity.If a person's utility doubles when their income doubles, then that person is risk... a. averse. b. seeking. c. There is not enough information given in the question to determine an answer. d. neutral.1. Which of the following behaviors contradict the standard discounted utilitymodel? (A) hyperbolic discounting; (B) context effects; (C) preference for commitments; (D) all of the above. 2. A nudge is a policy solution that is(A) cheap to implement;(B) has a predictable effect on agents’ behavior;(C) does not put additional constraints on agents’ freedom of choice;(D) all of the above.
- Sanjay won a poker game against his friends. Now he has to choose between $600 (the winnings) and the chance to play a new game. In this new game, Sanjay has a 50% chance of winning nothing and a 50% chance of winning $1000. The following graph presents the utility function of Sanjay with respect to money: 1. By how much money would his winnings need to increase or decrease so that Sanjay isindifferent between the $600 and the new game? At a different table, Juan wins $800 in a blackjack game. Similarly, he has to choose between $800 or the chance to win a new game. In this game, Juan has a 45% chance of winning nothing and a 55% chance of winning $1000. The following graph presents the utility function of Juan with respect to money: 2. By how much money would his winnings need to increase or decrease so that Juan is indifferent between the $800 and the new game? Please enter a positive number for an increase or a negative number for a decrease.Student question Time Left :00:09:43Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = 2X + Y UB(X,Y) = Min(X,Y) The initial endowments are: A: X = 5; Y = 3 B: X = 2; Y = 2 a. Illustrate the initial endowments in an Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are correct. Also, draw each consumer’s indifference curve that runs through the initial endowments. Is this initial endowment Pareto Efficient? b. Now suppose Consumer A gets all of both goods. Is this allocation Pareto Efficient? (You do not need to draw a new graph or illustrate this on the existing graph. Simply answer “yes” or “no.”) c. Now suppose Consumer B gets all of both goods. Is this allocation Pareto Efficient? (You do not need to draw a new graph or illustrate this on the existing graph. Simply answer “yes” or “no.”)Suppose X = R k + for some k ≥ 2, and we define x = (x1 , …, xk ) ≥ = (y1 , …, yk ) if x ≥ y; that is, if for each i = 1, …, k, xi ≥ yi . (This is known as the Pareto ordering on R k + ; it plays an important role in the context of social choice theory in Chapter 8.) (a) Show that ≥ is transitive but not complete. (b) Characterize ≥ Is asymmetric? Is≥ Negatively transitive? Prove your assertions. (c) Characterize ~ defined from ≥ in the usual fashion; that is, x ~ y if x ≥ y and y x. Is ~ reflexive? Symmetric? Transitive? Prove your assertions.
- Suppose a new and terrifying disease called bhtitis has been created in a mad scientist’s laboratory. In a recently-released study, medical researchers determined that the average Pcorian adult has a 0.1% chance of catching bhtitis in the coming year. Suppose all Pcorians have the following utility function: U = √I where I = $100 if the Pcorian is well and I = $0 if the Pcorian catches bhtitis. (a) A young woman hears a brief news item about the research study on the radio, and learns she has a 0.1% chance of catching bhtitis this year. What is her expected utility without insurance? (b) The young woman is offered an insurance contract that has a premium of $1 but pays out $100 if the woman comes down with bhtitis this year. Will she take the contract, according to expected utility theory?Explain how revealed preferences indicate which goods or activities give aperson the most utility.The Foundations of Behavioral Economic Analysis Consider the following property of choice correspondence : Show that maximization of complete and transitive preference satisfies β-axiom. I need this ASAP
- Indicate whether the statement is true or false, and justify your answer.There is a massive body of evidence that humans prefer a fixed amount of utility now to that same amount of utility later.Draw a utility function (with income on the horizontal axis) for an individual who is risk-loving at low levels of income, risk-neutral at moderate levels of income, and risk-averse at high levels of income (with each of these three regions clearly labeled). How would someone who looked at this graph (and had no other information about the individual) be able to figure out the individual’s attitude toward risk (averse/loving/neutral) in each region?Suppose that a consumer has a choicebetween two goods, X and Y. If the price of X is $2 and the priceof Y is $3, how much of X and Y does the consumer purchaseper period, given an income of $17 per period? Use the followinginformation about marginal utility:Units MUX MUY1 10 52 8 43 2 34 2 25 1 2