Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1...
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= (10,0) and person B is initially endowed with ωB= (0,20),where the first component of each vector indicates the endowment of good 1.Their preferences are given by UA(x1, x2) =x10.6x20.4 and UB(x1, x2) = 3x1+x2. Which of the following choices represents the contract curve in this economy (in terms of A’s coordinates)? (a) x2A=(xA1)/3 (b) x2A=(2xA1)/9 ...
In an exchange economy, there are two people (A and B), and two goods (X and Y). The utility functions of A and B are given by UA = XẪYẦ and UB = XểYa. There are 10 units of X and 10 units of Y in total. Which of the following gives a condition for Pareto optimality? 20X 30XA (Continued from previous question) Suppose person A is originally endowed with all 10 units of good X and person B is...
Consider an exchange economy with two types of agents, A and B, and two goods,x1 and x2. Preferences are given by uA(x1, x2) =x1+ ln(x2) and uB(x1, x2) = ln(x1) + ln(x2). Let ωA= (10,0) andωB= (0,20). Let p2= 1. What is p1 in a competitive equilibrium? (a) 10 (b) 20 (c) 1/10 (d) 1/207. (Continued from previous question) Assume the government wants to ensure that in the competitive equilibrium xB1= 5. To achieve they will redistribute endowments in the...
1. Consider the following exchange economy. There are two goods (1 and 2) and two consumers (A and B). Preferences and endowments are as follows: uA (イ·攻)-玲攻 TA _ (0,2) 2(4,0) (a) Draw an Edgeworth Box diagram to depict this economy. Your diagram should be clearly labelled, and should include the autar kic allocation as well as a couple of indifference curves for each consumer. (Indifference curves for A do not need to be precisely accurate but those for B...
Consider a competitive exchange economy with two individuals (A and B) and two goods (X and Y). Consumer A is initially endowed with 3 units of good X and 1 unit of good Y. Consumer A has preferences that imply the following MRS of good Y for X: YA MRSA =-X Consumer B is initially endowed with 1 unit of good X and 3 units of good Y. Consumer B has preferences that imply the following MRS of good Y...
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Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x, y) = xy and B's utility function is UB(x, y) = min [x, y). A has an initial allocation of 10 x and no y, and B has an initial allocation of 10 units of y and no x. (a) Put...
Consider an exchange economy with two goods (1 and 2) and two consumers (Anna and Bob). Anna’s utility is uA = xA1xA2, while Bob’s utility is given by uB = xB1 + xB2. Initial endowments are (3, 0) for Anna, and (0, 2) for Bob. (a) Find all Pareto efficient allocations. (b) Find the competitive equilibrium. (c) Draw a clearly labeled Edgeworth box. (d) Are the preferences of Anna and Bob any different? Does it make sense to treat them...
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x; y) = 2x+y and B's utility function is UB(x; y) = xy. A's initial allocation is 10 units of x and 0 units of y. B's initial allocation is 0 units of x and 30 units of y. (a) Put wine x on the...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...