14) Marcin and Adam both consume the same goods in a pure exchange economy. Marcin is...
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 a pure exchange economy of two individuals (A and B) and two goods (X andY).Assume both the individuals are endowed with 2 units of good X and 1 units of good Y each.let utility functions of individual A and B be UA=min{XA,YA} and UB=min{XB4,YB},where Xi and Yi for i={A,B} represent individual i's consumption of good X and Y respectively. Determine the aggregate excess demand functions for each good.
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...
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 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...
10. Consider a pure exchange competitive market economy with two individ- uals, A and B, and two commodities, x and y, whose prices are denoted by px and py, respectively. Individual A lexicographically prefers x to y. Individual B's utility function is min{x,y}. Both individual A's and B's endowment is (50,50). A competitive equilibrium price ratio, Px/py, for this economy (a) exists and is equal to 1 (b) exists and is less than 1 (c) exists and is greater than...
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...
Anything will help 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...
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and two goods X and Y in which each agent acts competitively. Their preferences are given by the following utility function U(X,Y)=X13*Y23 Their initial endowments are as follows W=(5,20) w- (25,10) a) Calculate the demand functions for Good X and Good Y for each agent. b) State the equilibrium conditions for this economy. c) Using these conditions and the demand functions found in part a)...
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...