In an exchange economy the, set of feasible, Pareto optimal allocations for Omar and Marlo is given by the equation x2o =xo1. Suppose endowments of wo =(8,4) and wm=(1,5) for omar and marlo respectively, and the equilibrium prices of each good are the same, what is Omar's optimal amount of good 2?
In an exchange economy the, set of feasible, Pareto optimal allocations for Omar and Marlo is...
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...
Suppose individuals A and B start with endowments (3,7) and (7,3),respectively. *Please answer all parts of the question including #5,6,7,8,9,10,11* Draw the Edgeworth box and label the initial endowments. Are the final allocations (6, 3) and (5, 6) feasible? Suppose that individual A has utility function UA = xA1 + 2xA2 . Draw a few of A’s indifference curves on the Edgeworth box. (Make sure you’ve drawn them correctly.) Suppose that individual B has utility function UB = 2xB1 +...
Suppose that there is a pure exchange economy described by: Two commodities: automobiles (a) and boats (b) Two people: Mel (M) and Norm (N) Endowment = (a(m) , b(m), a(n), b(n) = (7, 8, 1 , 14) Draw the Edgeworth box that represents this economy. Suppose the Endowment is not Pareto optimal. Using indifference curves show the region in which feasible allocations offer a Pareto improvement over the endowment. Show the region in which feasible allocations offer a reduction in...
Consider a pure exchange economy with two consumers and two goods. Total endowments of the two goods are given by X̅=10 and Y̅=20. Consumer A’s utility function is given by UA(XA,YA)=sqrtXAYA.. Consumer B regards the two goods as perfect substitutes with MRS=2. (1) Find the contract curve for this economy. (2) Suppose the initial endowments are given as the following: 2,8), (XA, YA)=(2,8) (XB,YB)=(8,12). Find the set of Pareto efficient allocations that Pareto dominate the endowment poin
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...
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 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)...
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...
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...