a tern utility function of the form u(w) = Vw. What would the ndividual be willing to pay for a lottery that pays %3D 51,000,000 with a probability of 0.0015 and zero otherwise?
Q: Suppose that my utilit function is (w) = w2. %3D (a) fI played one round of the St. Petersburg…
A:
Q: Suppose your current wealth, M, is 120 and your utility function is U = M2. You have a lottery…
A: To determine the minimum amount for which you would be willing to sell the lottery ticket, we need…
Q: Amir is a risk averse decision-maker with von Neumann-Morgenstern utility u(x) that is strictly…
A: As per the given information A utility function is strictly increasing and continuous. That means…
Q: At an oral auction for a lamp, half of all bidders have a value of $50 and half have a value of $70.…
A: Oral auctions in which bidders shout out prices, or submit them electronically, are forms of…
Q: Calculate the manager's risk premium for the prospect P and use it to explain whether or not he will…
A:
Q: Zac has a current wealth of £400. He gets an email offering him the chance to enter a prize draw…
A: Answer: Given, Current wealth=£400Chance of winning £500=25%Chance of winning £0=75% Let us first…
Q: Consider a lottery with three possible outcomes: $120 with probability 0.3, $80 with probability 0.2…
A: Given:- Three possible outcomes:$120 with probability 0.3$80 with probability 0.2$50 with…
Q: Consider a game where there is a $2,520 prize if a player correctly guesses the outcome of a fair…
A: The objective of this question is to find out the maximum amount that Cindy would be willing to pay…
Q: Define the risk premium p = č - Cce where č level of consumption from the lottery (7 = E[c]).…
A: Risk premium is the amount which a consumer is willing to pay in order to avoid a risky event . RP…
Q: Consider Lottery A, where there is a 0.90 chance that you receive a payoff of $400 and a 0.10 chance…
A: Given information: There is a lottery A, there is a 0.90 chance you will receive a payoff of $400,…
Q: firm plans to expand its product line and faces a dilemma whether to build a small or large facility…
A: A firm intends to grow its product offering and given are the accompanying data. 1. Conclude…
Q: Total utility (units) 0 10 11 12 13 14 15 16 17 18 19 20 21 Wealth (thousands of dollars) John's…
A: Expected value refers to the possible value of a certain event. The value is determined based on the…
Q: Question 12 Rhianedd has a utility function of the formu u(W)=√W. She has initial wealth of £140.…
A: Certainty equivalent of risky consumption bundle is the amount of consumption which if provided a…
Q: If some auction participants for crude-oil field leases have estimates that the oil in the ground is…
A: $1.3 million is the true common value as it is the common value in all the auctions that are made.
Q: 4. A decision-maker faces a lottery that gives her a final wealth of 1 dollar with probability 1/4,…
A: A random variable may have any number of alternative values and likelihoods within a particular…
Q: Assume that two collectors, X and Y are in a first prize sealed bid auction for a batch of vintage…
A: In a first-price sealed bid auction, each participant submits a private, sealed bid for an item, and…
Q: Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an…
A: A moral hazard arises when one party tends to take risks because the cost of risk (full or partial)…
Q: ₂0.5 Wilfred's expected utility function is px0.5 + (1 − p)x2.5, where p is the probability that he…
A:
Q: A famous local baker has approached you with a problem. She is only able to make one wedding cake…
A: Revenue maximization refers to the strategy of optimizing a business's total revenue or sales…
Q: Expected Utility formulation was initially proposed as a solution to the St. Petersburg paradox (or,…
A: ANSWERThe paradox known as the St. Petersburg Paradox is obtained by a simple coin flip game. The…
Q: A plaintiff believes that there is a 30% chance that he will winIf he wins, he will gain $50,000. It…
A: It is given that there is a 30% chance of winning. The gain is $50,000 if he wins and there are…
Q: Compute the risk premium of the following lottery assuming that u(x) = vx (16, 0.25; 4, 0.75)
A: We are going to find Risk Premium using Certainty equivalent to answer this question.
Q: Consider the lottery that assigns a probability of obtaining a level of consumption CH and a…
A: Sometimes the prices, income and other variables are not known with certainty. Rather there is a…
Q: game below, hich is infinitely repeated at Both players discoun the future at rate ô € (0, 1). The…
A: Since the question you posted consists of multiple parts, we will answer the first part for you. If…
Q: Question 1) Dave is an expected utility maximizer and his von Neumann-Morgenstern utility function…
A: Let us simplify the utility function - U(W) = 0.8(w)1/3 Initial Wealth = 27000
Q: In a number of countries, government contracts are awarded by means auctions in which the winner is…
A: Nash equilibrium is the condition when all the involved parties do not wish to move from their…
Q: A decision-maker faces a lottery that gives her a final wealth of 1 dollar with probability 1/4, 3…
A: Given The lottery gives $1 with a probability of 1/4, $3 with a probability of 1/2, and $8 with a…
Q: Consider a weather forecaster who is paid based on her performance. Each day, she forecasts the…
A: The act of forecasting requires coming up with forecasts that are based on both past and present…
Q: A decision maker has a vNM utility function over money of u(x) = x². This decision maker is: O Risk…
A: u(x)=x2 Let us take different values of X x x2 Mu of inco 100 1000 - 200 4000 3000 300…
Q: Suppose your utility over money (x) is given by u(x)=x(1-1), where r-2/3. You are one of two bidders…
A: Auctions are a useful tool in economics for determining asset value and redistribution. They improve…
Q: An investor's utility function for the payoff of a project is U(x)-x0.4. The return of a project…
A: Utility function : U (X) = x0.4 Return on heads = 26 Return on tails = 74 Probability of getting…
Q: 3. Suppose the individual has a utility function In(c) where c is consumption and In(-) is the…
A: Expected Utility: It is the weighted average of all possible outcomes under various circumstances.…
Q: Expected Utility formulation was initially proposed as a solution to the St. Petersburg paradox (or,…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Consider the following compound lottery, described in words: "The probability that the price of…
A: Probability can be characterized as the proportion of the number of positive results to the absolute…
Q: Which of the following is not a continuous random variable:
A: Here we have to find which variable is not a continuous random variable.
Q: 6) For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) =…
A: Probabilities of each strategy: P(s1) = 0.15, P(s2) = 0.5, and P(s3) =0.35 Payoff matrix: S1…
Q: What is the Pure Strategy Nash Equilibrium of this game?
A: The dominant strategy is the strategy which yields higher payoff and does not change with the change…
Q: Suppose there is a joint project that generates an amount 10 for each of the individuals A and B,…
A: Nash equilibrium means that there shouldn't be any unilateral deviation.
Q: 1. A decision-maker faces a lottery that gives her a final wealth of 1 dollar with probability 1/4,…
A: A probability distribution refers to a statistical function that encompasses all of these…
Q: Translate the following monetary payoffs into utilities for a decision maker whose utility function…
A:
Q: Show the number of subgames on the game trees below. You can draw circles to show the subgames after…
A: Game Theory is defined as a theoretical framework to conceive social situations among players…
Q: Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $1000 for…
A: Certainty equivalence is a concept in economics and finance that suggests under certain conditions,…
Step by step
Solved in 2 steps
- Consider 5 bidders whose values are independently and uniformly distributed over [0, 900] (a) For a buyer with value 100, what is his equilibrium bid in a first-price auction (FPA)?Your utility function is given by M1/2. You have $100 and are planning to invest in a venture where you can win or lose 50 with equal probability. Will you accept the venture? What is the minimum gain you need to make in the good scenario such that you will invest in the venture?Air conditioning installers value good ACs at $4,100 and bad ones at $3,400, while buyers value good ones at $5,900 and bad ones at $4,600. Assume that the installer can attach a warranty, which cost $80 per month for good ACs and $250 per month for bad ones. If both types of AC installers are using a 4 month warranty, then the minimum acceptable price for good AC sellers is , while for bad AC sellers it Group of answer choices 4,380; is 4,400 4,380; 4,480 4,420; 4,480 4,420; 4,400
- PLEASE CHECK THIS HOW TO SOLVEThe Minister of Transport released its Festive season road accident statistics which shows that the probability of drivers committing an accident is 8% with utility U(H) = √H, where H stands for year income. The Minister further claims these Festive season road accidents cost the state (in terms of claims lodged) an average of R84 000 per annum. The Road Accident Fund is an insurance scheme providing compulsory indemnity cover to victims of vehicle accidents and taxi drivers. (a) Suppose that an average commuter earns R84 000 per annum. What is the expected utility of each commuter if the driver decides not to take insurance. (b) What is the cost of insurance policy to the Road Accident Fund? (c) Due to high accident rates during Festive season, the road accident fund has issued a warning to the government that the fund will be insolvent soon. Advise the Minister on the cost of insurance that can collapse the schemeSuppose that my utility function is u(w) = wº.1 (a) If I played one round of the St. Petersburg Lottery, would would my expected utility be? Assume I currently have zero wealth, and round your answer to two decimals places. Note that in order to compute my expected utility, you will need to sum a geometric series. Expected Utility = 2.15 utiles. (b) Use your rounded answer from (a) to determine my certainty equivalent for the St. Petersburg Lottery. Round your answer to the nearest cent. Certainty Equivalent = $ 2110.50
- Let's denote a lottery as (X₁, P1; X2, P2; ….. ; Xm, Pm), where X₁ and Pi indicate the reward magnitude ($5000, 1.00) to A = ($0, = and probability of each potential outcome. A decision-maker prefers B 0.01; $25000, 0.04; $5000, 0.95) and prefers C = ($25000, 0.04; $0, 0.96) to D= ($5000, 0.05; $0, 0.95). Prove that Expected Utility Theory cannot account for the preference. Note: you can assume that the initial endowment is $0 and the utility of $0 is zero.You are a hotel manager and you are considering four projects that yield different payoffs, depending upon whether there is an economic boom or a recession. The potential payoffs and corresponding payoffs are summarized in the accompanying table. Recession (50%) -$ 10 $ 20 -$ 30 $ 50 Boom (50%) $ 20 Project A B -$ 10 $ 30 $ 50 If a manager adopted both projects A and B simultaneously, the varlance in returns assoclated with this joint project would be Multiple Choice 0. 10. 30. 50.BET GAME Each player puts an ante of $1 into the pot. There are four kings and four queens. The professor will randomly draw a card from the dealer, privately observe what it is, and decide whether to fold or to bet.< a) If the professor folds, the game ends, and you wins the pot, gaining the professor's $1 ante.< b) If the professor bets, another dollar will be placed in the pot, after which you has the option to either fold or call.< b-1) if you fold, the game is end and you lose you $1 ante.< b-2) if you call, you need to add another $1 to the pot and the professor need to reveal the card. At this stage, there will be $4 in the pot. You win the pot with a queen and lose the pot with a king.< (1) Draw the Game Tree.< (2) Write down the Payoff Matrix. (3) Find the Bayesian Nash Equilibrium (4) Find the Perfect Bayesian Nash Equilibrium.<
- At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of$20. If the ticket is worth $2, what would be the expected value?See attachments for question context. Question: Some people advocated the following modifiction of the auction rule. A bidder cannot bid for only one object, i.e., if at some point in time he withdraws from the bidding race for one object, he automatically withdraws the race for the other object. Every other aspect of the auction, including how prices increase over time, does not change. What should a bidder do if his valuation for the two objects are 50 and 60, respectively? Explain. Does the auction lead to an efficient allocation? Explain.Let p denote a lottery over a finite set of possible prizes denoted by the vector Y; and let 8x denote another lottery that gives prize X for certain. (i) Using the utility function u(x) = 1 – e-ax, show that for CARA utility functions, adding a constant amount to each lottery prize does not change risk attitudes i.e. if 8x 2 p, then ôx+z > p' where p' denotes the lottery which simply adds an amount Z to each prize in p. х1-р —1 (ii) Using the utility function u(x) ,p 2 0, p + 1, show that CRRA 1-р utility functions have the property that proportional changes in prizes do not affect risk attitudes i.e. if 8x 2 p, then dax z p' where p' denotes the lottery which multiplies each prize in p by a > 0.