Consider an economy which is in general equilibrium. Ann and Bob are (the only) two consumers in an economy. They both consume both good and good y. This implies that mu mu (i) The equality is important with regards to efficiency because it implies that there are no Pareto Improving trades of x and y between Ann and Bob. (ii) The equality is important with regards to efficiency because it implies that (for x and y) the prices that producers see reflect the (relative) values that consumers place on the goods. O a. Only statement (ii) is true. Ⓒb. Only statement (1) is true. O c. Both statements are true. O d. Both statements are false. mu mu . Consider the truth of the following two statements:
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- Give typing answer with explanation and conclusion Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1 and 2. Person A is initially endowed with ωA = (0,10) and person B is initially endowed with ωB = (11,0). They have identical preferences, which are given by U^A(x1,x2) = U^B(x1,x2) = x1^2*x2. Suppose that p2 =1. Under the competitive equilibrium, what is p1? Round answers to two decimal places.Suppose there was a debate regarding how to spend $1 billion in newly found revenues in the budget. Suppose the most liberal Democrat suggests an increase to Food Stamp (SNAP) allotments. Suppose the most conservative Republican suggests an increase in defense spending. The Republican says that, on average, military spending does the most good, so more is better. The Democrat is arguing that the extra food purchased by the extra spending will increase well-being the most. What is going on here? A . Both are employing marginal analysis, just from different perspectives. B. Only the Democrat is using marginal analysis. C. Only the Republican is using marginal analysis. D. Neither are using marginal analysis.H7. Consider an economy consisting of two consumers, Adam and Eve. There are two goods, apples and bananas. Adam likes apples and prefers more apples to less. He somewhat likes bananas: he prefers one banana to none, but is indifferent between having one banana and having more than one banana (i.e., he gets satiated with bananas after having one banana). Eve likes bananas and prefers more bananas to less; she is indifferent to apples. There are exactly 5 apples and 4 bananas available in this economy. Describe all Pareto optimal allocations in this economy. Explain.
- In an exchange economy, there are two people (Shadi and Nino) and two goods (x1 and x2). Their initial endowments are ωS = (2, 4) and ωN = (3, 6). Their utility is given by the following functions: US(x1,x2) = x12x23 and UN(x1,x2) = x1x24. Which of the following is the equation for the contract curve? Group of answer choices a. x2N = 96x1N / (15 + 4x1N) b. x2N = 47x1N / (8 + 4x1N) c. x2N = 91x1N / 5 d. x2N = 16x1N / (3 + x1N) e. x2N = 41x1N / (9 + x1N)Ana and Ivan each individually and simultaneously decide whether to spend the evening at a play or a concert. Ana prefers to attend the concert twice as much without Ivan than to attend the play without him, and she prefers this three times more than being in the same place with Ivan (and at that point, she doesn't care where they are). Ivan prefers being in the same place with Ana twice as much as being at the play without her, and he prefers this four times more than being without Ana at the concert. Both have von Neumann-Morgenstern (vNM) preferences. With what probability will Ivan choose to attend the concert in Nashe's equilibrium?Let’s use the Fisher effect to use two known values to learn about the unknown third one. Consider the table, with some values given and some missing. ?i ??Eπ ?EquilibriumrEquilibrium 5% 2% 3% 5% 1% ___ 5% ___ 8% ___ 10% 2% 6% ___ 2% 0% -2% ___ Compute the missing values in the table. ?=5%,??=1%,?Equilibrium=i=5%,Eπ=1%,rEquilibrium= % ?=5%,?Equilibrium=8%,??=i=5%,rEquilibrium=8%,Eπ= % ??=10%,?Equilibrium=2%,?=Eπ=10%,rEquilibrium=2%,i= % ?=6%,?Equilibrium=2%,??=i=6%,rEquilibrium=2%,Eπ= % ?=0%,??=−2%,?Equilibrium=
- 3 Consider a pure exchange economy with 2 consumers and 2 goods. Consumer ? owns 8 units of good 1 and 1 unit of good 2, and his preference is represented by the following utility function: uA(x1, x2) = x1*x2. Consumer ? owns 2 units of good 1 and 4 units of good 2, and his preference is represented by the following utility function: uB(x1,x2)=x1+x2. Assume that the two consumers are allowed and able to trade with each other, and that good 1 is the numeraire. In this case, both consumers act as price-takers. Price takers: a market participant that is not able to dictate the prices in a market. Therefore, a price taker must accept the prevailing market price. Please find the competitive equilibrium of this pure exchange economy.Two individuals, Fred and Helen, are in an economy with no production, and each have the utility function U = 10XY. Prices of both X and Y are set at $1. Initial endowments for Fred are 10 units of X and 6 units of Y. Helen has 8 units of X and 12 units of Y. Find the general equilibrium prices and allocation, then show that the G.E. allocation is Pareto efficient.Chris and Dana live in an exchange economy with two goods: good Q and good R. Chris starts off with an endowment of 6 units of Q and 10 units of R. Dana starts off with an endowment of 8 units of Q and 8 units of R. Suppose that the price of good R is pR=1 and the price of good Q is pQ=2. a )At these prices, does the market clear? Yes or no? Explain your answer. b) What relationship must hold between the consumption of each agent and the price of the two goods at the market clearing equilibrium? Write the equation
- 1. a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by for Mohammed, for David and for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. b. There are two firms in the economy. Each firm employs positive amounts of capital and labour. The technology satisfies diminishing marginal rate of technical substitution of labour for capital. Currently, A’s marginal rate of technical substitution of labour for capital is 4 while B’s marginal rate of technical…If an economy can produce various combinationsof food and shelter along a productionpossibilities curve (PPC), then if we increase theproduction of shelter along the PPC, which ofthe following is true?a. We also increase the production of food.b. We must decrease the production of food.This forgone food production representsthe opportunity cost of the increase inshelter.c. We cannot change the production of food.d. The concept of opportunity cost does notapply along PPC.Ashly and Betty consume X and Y. Ashly’s utility function is UA=XA0.6YA0.4 Betty's utility function is UB= XB0.4YB0.6 Their inital endowments are XA=10 , YA= 20, XB=20, YB= 10 Assuming that the price of Y is equal to 1, compute the competitive equilibrium of this economy (i.e. the price of X at which demand for X equals supply of X and demand for Y equals supply of Y).