resent the classical model of choice under uncertainty. What are the five assump- tions which characterize the Von-Neumann-Morgenstern expected utility repre- sentation
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Present the classical model of choice under uncertainty. What are the five assump- tions which characterize the Von-Neumann-Morgenstern expected utility repre- sentation?
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- Suppose an individual in the Grossman model is trying to decide what to have for dinner. His options are as below. Each dish has an effect on the level of home good Z and health H. Мeal Home good Z Health H Steak and eggs +7 -2 Kale salad with broccoli -2 +5 Entire box of cookies +10 -20 Suppose the dinner's single-period utility function is U=3Z+H 1. If the individual is trying to maximize his single-period utility, and he can only select one item from the table (assuming he can afford any item in the table). Which meal would he choose? Explain your answer. 2. A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the individual's choice? Explain your answer. 3. If the individual lives in multi-period rather than single-period, would he value Z or H more in multi-period? Explain your answer. Paragraph I U v A •.. > lili BSuppose an individual in the Grossman model is trying to decide what to have for dinner. His options are as below. Each dish has an effect on the level of home good Z and health H. Мeal Home good Z Нeath H Steak and eggs (A) Kale salad with broccoli (B) Entire box of cookies (C) +7 -2 -2 +5 +10 -20 Suppose the dinner's single-period utility function is U=3Z+H • If the individual is trying to maximize his single-period utility, and he can only select one item from the table (assuming he can afford any item in the table). Which meal would he choose? Please type in A, B, or C (do not enter space, punctuation, or any other symbols or words) • A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the individual's choice? What meal would be chosen now? Please type in A, B, or C (do not enter space, punctuation, or any other symbols or words) • If the individual lives in multi-period rather than single-period, would he value Z or H more in…Nutritional economics. Suppose we are considering a hungry individual in the Grossman model deciding what to have for dinner. His options are listed in Table 3.2. Each dish has an effect on the level of the home good Z and health H. a. Suppose the diner’s single-period utility function is as follows:U =3Z +HIf the diner is trying to maximize his single-period utility, and he can only select one item from Table 3.2, which meal would he choose? b. If the diner is instead trying to maximize his lifetime utility and not just his single period utility, how might your answer to Exercise 16(a) change? Is he likely to value Z or H more in the lifetime context than the single-period context? Explain your answer, and be sure to invoke the concept of a capital good
- Nutritional economics. Suppose we are considering a hungry individual in the Gross-man model deciding what to have for dinner. His options are listed in Table 3.2. Each dish has an effect on the level of the home good Z and health H.a. Suppose the diner’s single-period utility function is as follows: U = 3Z + HIf the diner is trying to maximize his single-period utility, and he can only select one item from Table 3.2, which meal would he choose?b. A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the diner’s choice?c. What effect does the miracle pill have on the diner’s health H? Interpret this result.Does this mean the diner would be better off without the miracle pill?d. If the diner is instead trying to maximize his lifetime utility and not just his single-period utility, how might your answer to Exercise 16(a) change? Is he likely to value Z or H more in the lifetime context than the single-period context? Explain your answer, and…1. Can you define Probit Model using the Latent Utility Approach, if all the identification restrictions for the model? Justify why we need to impose the identification restrictions.Which behaviours does expected-utility theory (EUT) have trouble explaining?
- can you explain the Axioms of expected utility by The von Neumann and Morgenstern (1944)Fare F ($/trip) and travel time T (hr/trip) for Bus and Rails are given Bus: F= 40, T = 3 Rail: F = 56, T=2.5 We have a utility function u = -0.005 F -0.1 t * Use the logit model to find the probability of choosing bus * What change in rain rare would achieve the probability of choosing rail to be 55%? * What value use time is implied by the utility function? Start to think about the utility of one-hour a. it will be #% b. #$ c. $20$/hrI came to the conclusions that all of the utility functions satisfy the declining MRS property. But I am unsure. Please help.
- In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/4b³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is T. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume = 0.5. Knowing that bad weather…In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/46³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is π. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume π = 0.5. Knowing that bad weather…Chris Traeger is trying to decide whether or not to purchase health insurance. Chris knows that if he is healthy, his wealth will be $2,000 this year. However, if he gets sick his wealth will only be $500. Chris knows the probability of getting sick is 40%. His utility function is written below. U = (2) What is utility if the individual purchases insurance at the actuarially fair price? 25.29 utils 26.46 utils 31.62 utils 18.97 utils