1) Eoreach of tbe exchange economies described below, draw the set of Pareto efficient allocations. a)...
2) This guestion is from Final 2016. Consider an Exchange economx composed of twO individuals A and B and two goods x1 and x2. Individual A has an endowment of WA-(3,5) and individual B has an endowment of Ws- (3,3). A's utility function is given by UA- Xx2 a. (3 points) Show that no matter what utility function B has, there exists a Pareto Efficient (PE) allocation. (i.e. Speciỵa Pareto efficient allocation and explain why it is efficient nomatter what...
2. For the following economies find the set of all efficient allocations: (a) Preferences are u'(x1, x2) = min{x\, x2}, u2(x1, 2) = min{x1,X2}. Endowments are i. e! %3D (3,6), е? ii. et %3D (5, 7), е? %3 (15, 3); ii. e' %3D (5, 7), е? %3D (25, 3). (b) As in part (a), but u'(r\, x2) = max{x1, x2} (7,4); 3. Find the Walrasian Equilibrium price(s) and allocations for all the economies in Question 1 and 2 2. For...
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 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)...
2) Consider an Exchange economy composed of two individuals A and B and two goodsx1 and x2. Individual A has an endowment of W(3,5) and individual B has an endowment of Wa^- (3,3). A's utility function is given byUA Xx2. Suppose that B is neutral about x1 (neither increasing nor decreasing the amount of x1 affects her utility) and she prefers more of x2 to less. Specifv a utility function for B. Eind the equilibrium price and allocations. 3) Consider...
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...
this is the entire question this is all the information given 2. 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) = 2.c + y and B's utility function is UB(x, y) = xy. A's initial allocation is 10 units of c and 0 units of y. B's initial allocation is 0...