In an exchange economy, there are two people (A and B), and two goods (X and...
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...
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...
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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...
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...
A two-person economy consists of Ann and Bob. Both of them only consume x and y. Ann’s utility over these two goods is UA(xA, yA) = xAy2A and Bob’s utility is UB(xB, yB) = x2ByB. Initially, Ann is endowed with 9 units of x and zero units of y; Bob is endowed with 6 units of y and zero units of x. (a) Write Ann’s marginal rate of substitution in terms of xA and yA and Bob’s marginal rate of...
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 ...
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...
Suppose there are two consumers, A and B, and two goods, X, and Y. Consumer A's utility function is given by: Ua(X,Y) = X*Y^3 Consumer B's utility function is given by: Ub (X,Y) = X*Y Marginal Utilities for A: MUx =Y^3 , MUy = 3X*Y^2 Marginal Utilities for B: MUx = Y, MUy = X Initial endowments: Person A has 40 units of good X and 20 units of good Y Person B has 30 units of good x and...
Consider a pure exchange economy with two individuals (A and B) and two goods (x and y). The utility functions are given by UA(xA, yA) = min[xA, yA] UB(xB, yB) = min[xB, yB], where xi and yi are the quantities of the two goods consumed by individual i = A, B. The total endowments are wx = 10 and wy = 5. (a) Represent the indifference curves of both individuals in the Edgeworth box and find the Pareto set. (b)...
An exchange economy consists of two individuals---consumer A and consumer B with preferences over two goods---goods X and Y. Suppose consumer A is initially endowed with 9 units of good X and 6 units of good Y and consumer B is initially endowed with 91 units of good X and 14 units of good Y. Both consumer A and consumer B have identical preferences with the following marginal rates of substitution: MUX - 1 YA MRS, = MUX - and...