Suppose further that there are only two individuals in the economy, A and B, and their utility function is given as: U(XAYA) = XA0.2YA°0.8 , U(XBYB) = Xgº.8YB02 Deriving the %3D required condition for efficiency (or the contract curve equation) for consumer A (XA = YA), the MRSXA = MRSXYB equation leads to YA = %3D [ Select ] The required efficiency equation is XA = [ Select ] given that the economy has 10 units each of goods X and Y.
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- Suppose that you have two opportunities to invest $1M. The first will increase the amount invested by 50% with a probability of 0.6 or decrease it with a probability of 0.4. The second will increase it by 5% for certain. You wish to split the $1M between the two opportunities. Let x be the amount invested in the first opportunity with (1-x) invested in the second. Find the optimal value of x. Using expected value as the criterion (linear utility) Using the flowing utility function: u(x)=2.3 ln〖(1+4.5x)A husband and wife would produce incomes Yh and Yw in their fallback situations. The utility each derives in any circumstance is just equal to his or her consumption expenditure in that circumstance. In their fallback situations, their consumption expenditure levels are just equal to their incomes. Thus their fallback levels of utility are Yh and Yw. If they cooperate, they produce Z>Yh + Yw. They engage in Nash cooperative bargaining to determine how to allocate Z across the consumption of the husband, Ch, and consumption of the wife, Cw, subject to the budget constraint that Ch + Cw = Z. Under any bargained allocation, the two would derive utilities of Ch and Cw. a) The surplus associated with cooperation is S = Z − Yh − Yw. Show that each spouse consumes his or her fallback income plus half the surplus in the Nash cooperative bargaining solution. Please do fast ASAP fast please.A husband and wife would produce incomes Yh and Yw in their fallback situations. The utility each derives in any circumstance is just equal to his or her consumption expenditure in that circumstance. In their fallback situations, their consumption expenditure levels are just equal to their incomes. Thus their fallback levels of utility are Yh and Yw. If they cooperate, they produce Z>Yh + Yw. They engage in Nash cooperative bargaining to determine how to allocate Z across the consumption of the husband, Ch, and consumption of the wife, Cw, subject to the budget constraint that Ch + Cw = Z. Under any bargained allocation, the two would derive utilities of Ch and Cw. What do Ch and Cw equal if Yh = Yw (but this quantity is not equal to zero)? Please do fast ASAP fast
- Which of the following statements is not true about the utility possibilities frontier It shows utility levels that are attainable, given the utility functions of each player. It's a type of feasible frontier. It shows the utility each player receives from all pareto-efficient outcomes. It is constructed from the pareto-efficient curve.Consider a two-person exchange economy in which initial endowments for both individuals are such that (e1 = e1) = (1,1). Suppose the two individuals have the following indirect utility functions: V1 (x, y) = ln M1 - a ln Px - (1-a) ln Py V2 (x, y) = ln M2 -b ln Px - (1-b) ln Py Where Mi is the income level of person i and Px and Py are the prices for goods x and goods y, respectively. a) Calculate the market clearing prices.It is given that a typical consumer has a well-behaved preference structure for his consumption bundle, which includes only two goods, A and B. Further, assume that commodity A is normal and commodity B is Giffen. By keeping commodity A on the x-axis and commodity B on the y-axis, you are required to show the price decomposition for commodity B when $PB decreases exogenously relative to $PA.
- Suppose that each week Fiona buys 16 peaches and 4 apples at her local farmer's market. Both kinds of fruit cost $1 each. From this we can infer that: If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be greater than her marginal utility from the 4th apple she buys. Fiona is not maximizing her utility. If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be equal to her marginal utility from the 4th apple she buys. The law of diminishing marginal utility does not hold for Fiona.Consider two treatments. Treatment 1 saves one year of life at a cost of $10,000. Treatment 2 saves ten years of life at a cost of $1,000,000. Which treatment is more cost-effective? Why? Consider two treatments. Treatment 1 saves six years of quality adjusted life at a cost of $90,000. Treatment 2 saves three years of quality adjusted life at a cost of $60,000. Which treatment is preferred from a cost utility analysis perspective? Suppose Jay has been experiencing back pain and that there are two options for back pain: Treatment Regimen Total Cost Pain Reduction Do nothing $0 0 units Cortisone injections $600 30 units Calculate the ICER between cortisone injections and doing nothing. Jay says he is willing to pay $10 for a per unit of pain reduction. Should he choose cortisone injections? Another treatment is discovered. It costs $700 and reduces pain by 25 units. Should he choose the new treatment?A typical consumer has a well-behaved preference structure for his consumption bundle which includes only two goods, A and B. assume that commodity A is normal and commodity B is inferior. By keeping commodity A on the x-axis and commodity B on the y-axis you are required to show the price decomposition for commodity B when $PB increases exogenously relative to $PA. Please Answer the question by using well labelled diagrams
- Consider the two Nash equilibria found above. Is any one of them a Perfect Bayesian Equilibrium (PBE)? Explain. In particular, consider each NE and argue why they are or are not part of a PBE. [Note: A complete description of PBE must specify beliefs as a part of description of the equilibrium.]Bart and Lisa are both optimizing consumers in the market for shirts and hats, where they pay $100 for a shirt and $50 for a hat. Bart buys 8 shirts and 4 hats, while Lisa buys 6 shirts and 12 hats. From this information, ignoring the minus sign, we can infer that Bart's marginal rate of substiution is _________ hats per shirt, while Lisa's is __________ hat's per shirtAnswer the given question with a proper explanation and step-by-step solution. Angela and Betty are deciding how many nights to stay at a resort. Given above are the budget lines and indifference curves for both Angela and Betty. They are not travelling together and therefore will make independent decisions (they do not have to stay the same number ofnights) L1 is the budget line for each of them before any discounts are offered. Each of them is offered a “Buy Three Nights Get One Free” deal, where if they stay for three nights the fourth night is free. This is just a one-time discount and all subsequent nights after the fourth night are at the undiscounted price. The budget line after the discount is the heavily shaded blue line L2. You may assume that each consumer wishes to maximize their utility (satisfaction) when determining the number of nights they will stay. (a) With the budget line at L1 how many nights will Angela stay?(b) With L1 the budget line how many nights will Betty…