Consider the following economy of exchange. There are two goods and two consumers. The two goods are called tillip and quillip and the two consumers are called 1 and 2.
Consumer 1 has the utility function U1(t, q) = . 4ln(t)+ . 6ln(q) (where t is the amount of tillip and q is the amount of quillip).
Consumer 2 has the utility function U2(t,q)=. 5ln(t)+. 5ln(q).
Consumer 1 is equipped with 10units of quillip and tillip each. Consumer 2 is equipped with 10 quillip units and 5 tillip units.
a) What is the Walrasian equilibrium of this economy? ( If there is more than one equilibrium write them all down).
Consider the following economy of exchange. There are two goods and two consumers. The two goods...
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...
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 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
Consider an exchange economy with two goods and two agents. Agent A likes to consume more of either good, but when she consumes a bundle, she dislikes mixing her consumption of both goods. Therefore she only cares for the maximal amount of either good contained in a bundle. Her preferences are represented by ui(xA1 , xA2 ) = max{xA1 , xA2 }. Agent B has preferences represented by ui(xB1 , xB2 ) = (xB1 )^2 + (xB2 )^2. Both agents...
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...
Consider an economy with two consumers A and B. Consumers A and B have utility functions u(x+x)= Inx;" + Inx, and (x,x) - Inx' +-Inx, respectively. They face prices P, and P, for good 1 and good 2, respectively, and they have incomes “and I°, respectively a) Write formally the economic problem faced by consumer A and derive the demand functions xi (P1, P2,7") and x(P,P2,7^) [6] b) What are consumer B's demand functions for the two goods 1 and...
General Equilibrium: Problem 4 Consider a pure exchange economy with two goods and two consumers, Rand J with utility functions UR(x,y) = x²y and U,(x,y) = x4y respectively, and endowments of wR = (2,1) and wj = (1,2). Compute the competitive equilibrium for this economy. Calculate the transfers ta and t, needed to support the allocation (XR, YR) = (1,1.5) and (xj. y.) = (2,1.5) as an equilibrium with transfers. %3D
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...
13. (14pts) An exchange economy with two consumers (A and B) and two goods (1 and 2): Endowments wA= (2/3, 1/3) and w= (1/3, 2/3) Utility functions: u (xf,x4) = xfx4 and u(xf,x) = xfx 1 for normalization. Setting p1 Calculate the competitive equilibrium price, allocations, and utilities for each consumer 1) (2pts) Derive the contract curve and the core path (express x 2) as a function of xf). (2pts) 3) Suppose that we add the third consumer in this...
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...