C. Edgeworth box with non-convex preferences Do this question graphically. Suppose the utility functions for consumers...
2. (20 points) Suppose there are two consumers, A and B The utility functions of each consumer are given by: UA(X,Y) XY UB(X,Y) Min(X,Y) The initial endowments are: A: X 1; Y 1 B: X 5; Y 5 Illustrate the initial endowments in and Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are correct. Also, draw each consumer's indifference curve that runs through the initial endowments. Is this...
Person A and B both have Cobb-Douglas preferences, uA = (x1A)2/5 · (x2A)3/5and uB = x1B · x2B . Their endowments are wA = (0, 2) and wB = (4, 0). Find their demand functions and use market clearing to derive equilibrium price for good two, p2 (set p1=1, and enter your answer as a simplified decimal). Solve for the contract curve for the setting described in question 1.). Please write out its equation in the space below.
Consider an exchange economy with two consumers, A and B, who can consume only two goods. Suppose consumers’ preferences are represented by a Cobb- Douglas utility function of the form u(x1i,x2i) = x1ix2i (here i is for consumer A or B) for a consumption bundle of two goods (x1i,x2i). The consumers have endowments eA = (e1A;e2A) = (4;1) and eB = (e1B;e2B) = (1;4). The price of good 1 is p1 and the price of good 2 is p2. You...
Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1 and 2. Person A is initially endowed with wA(4,8) and person B is initially endowed with w(4,0). Their preferences are given by UA(ri,r2)1 and UB(xi, r2) (a) Write the equation of the contract curve (express as a function of ) (b) Let P2 Find the cornpetitive equilibrium price, pi, and allocations, xA -(zl,r1) and B-B (c) Now suppose that person B's preferences are instead...
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...
can u answer the 2nd question please? utility function Let us introduce a second person, who has standard Cobb-Douglas utility UB = (x+B)•(x²B). Their endowments are wa= (6, 3) and WB = (3,6). You may assume p2 = 3p1. Find the amount person A consumes of good 1 in competitive equilibrium. Simplify decimals (no extra zeros). Find the contract curve (the set of all Pareto efficient points) for the setting in question 3. et ua = x+A+ 3x?
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...
omy where preferences and endowments 2. /20) Consider an Edgeworth box econ are given by d(z, zl) = (zl): (x), ei = (6,6) (a) 4 Carefully state the theorem regarding thé 'existence of a Walrasian equilibrium that was given in the lectures. (b) [6) Using the normalization p2 - 1, find the Walrasian equilibrium. (c) 4] Carefully state the Walras' Law and verify that it holds. (d) [6] Can the allocation ((5,23.4), (5, 2.6)) be supported as an equi- librium...
Q: Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = XY3 UB(X,Y) = X*Y Therefore: For consumer A: MUX = Y3; MUY = 3XY2 For consumer B: MUX = Y; MUY = X The initial endowments are: A: X = 16; Y = 28 B: X = 54; Y = 12 a) Suppose the price of Y, PY = 1. Calculate the price of X, PX that will lead to...
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...