Suppose that the outcome space contains three outcomes {1,2,3). Consider the following four lotteries: A (0.3, 0.7,0) B = (0,0.8,0.2) (0,0.5, 0.5) C = D = (0.6, z, y) Assume that a decision maker is indifferent between A and B, and is indifferent between C and D. Suppose the decision maker's preferences over lotteries satisfy the Independence Axiom, find out 1.y. (Hint: You can use graph to get intuition.)

Suppose that the outcome space contains three outcomes {1,2,3). Consider the following four lotteries: A (0.3, 0.7,0) B = (0,0.8,0.2) (0,0.5, 0.5) C = D = (0.6, z, y) Assume that a decision maker is indifferent between A and B, and is indifferent between C and D. Suppose the decision maker's preferences over lotteries satisfy the Independence Axiom, find out 1.y. (Hint: You can use graph to get intuition.)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

None
5 players must simultaneously choose a number from the interval [0, 9]. Let xi denote the number chosen by player i; x = (x1, . . . , x5) all the selected numbers; x−i = x\xi all the selected numbers except the one chosen by player i. If player i chooses the number xi ∈ [0, 9], while the others choose numbers x−i, then the utility of player i is given by ui(xi, x−i) = 4(9 − xi) + 2Σ5 j=1 xj. Find the Nash equilibrium of the game and the corresponding utilities. Would all players be better off if they signed a binding contract before the game, obligating them to choose the number 9?
Persons A and B are roommates. Person A smokes and Person B does not. The index s measures how smoky the room is. It varies from s=0, where there is no smoke in the room, to s=1, when the room is filled with smoke. Thus, 1-s measures how "clean" the air in the room is. Person A's utility function is UA(XA,S)=XA+In(1+s), where xA is the amount of money Person A owns. Person B's utility function is uB(XB,1s)%3D3XB+2(1-s), where Xg is the amount of money Person B owns. Each person starts with an endowment of 5 units of money. Persch B has the legal right to a smoke-free room and there is a market for "emission right." At the Walrasian equilibrium, what will be the (per unit of smoke index) price p of the emission rights if the price of money is 1? O a. None of the other answers. O b. p=2/3 O c. p=1 O d. p=3/2 О е. р31/6
Marbella has 101 residents. All wear the same fancy clothes and each has the same utility function, u(m, b, B) = m + 14b − b2 − B/50, where m is the amount of macaroni (in kilograms) that he or she eats per day, b is the number of hours that he or she spends on the beach per day, and B is the total number of person-hours spent per day on the beach by other residents of Marbella. Each has an income of $10 per day and macaroni costs $1 per kilogram. The city council is considering a law that would limit the amount of time that any person can spend on the beach. How many hours per day should they allow in order to maximize the utility of a typical Marbellite? A. 6 B. 9 C. 7 D. 10 E. They could not possibly be made better off by legislation that limits their freedom to choose.
3.7 Suppose that A> B> C> D and that the utilities of these alternatives satisfy U(A) + U (D)=U (B) + U(C). Is it true that U (B+C) is greater than U (A + D) because the former has a smaller variance? Why or why not?
Persons A and B are roommates. Person A smokes and Person B does not. The index s measures how smoky the room is. It varies from s=0, when there is no smoke in the room, to s=1, when the room is filled with smoke. Thus, 1-s measures how "clean" the air in the room is. Person A's utility function is ua(XA,s)=Xa.S, where xA is the amount of money Person A owns. Person B's utility function is ug(xg, 1s)=Xg .(1-s)³, where xg is the amount of money Person B owns. Each person starts with an endowment of 5 units of money. Person A has the legal right to a fill up the room with smoke and there exists a market for smoke "abatements". At the Walrasian equilibrium, how much money will person B be left with? а. Хв31.25 ОБ. Хв32.25 O c. XB=0.25 O d. Xg=0.25 е. None of the other answers.
There are three bidders participating in a first-price auction for a painting. Each bidder has a private, independent value vi for such a painting that is drawn uniformly from [0,1] Assume that each bidder i has a linear bidding function bi=avi, where a>0. What is the bidding strategy of bidder i , namely bi in the Bayesian equilibrium?
Time remaining: 01 :53 :32 Economics A dealer decides to sell an antique automobile by means of an English auction with a reservation price of $900. There are two bidders. The dealer believes that there are only three possible values, $7,200, $3,600, and $900, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue from selling the car is approximately Group of answer choices $3,600. $2,500. $3,900. $5,400. $7,200.
1 pending
1. ) Suppose a driver has a 6% of having one accident a year. In case of an accident the value of the car is reduced from $25,000 to $5,000. If driver buys an insurance policy the insurance company would completely cover damage to the car (essentially restoring its value to its initial level). Assume that the driver's utility function is U = VW. a) If price of the insurance policy (premium) is $1500, would this driver be willing to purchase the policy? Explain Show you computations b) What would be the maximum price a driver with 10% chance of accident be willing to pay for the insurance policy?