Two agents have identical quasilinear preferences U(x, y)-u(x) + y, where , x , x E...
Need help with Edgeworth Box exercise Two agents have identical quasilinear preferences U(x, y)-u(x) +y, where u(x) =|x-1 + 1 , x > 1 Agent I's endowment is (3/2, 1/2) and agent 2's endowment is (1/2, 3/2). Normalize so that the price of good 2 is 1. There is a Walrasian Equilibrium at which the price of good 1 is greater than 1/2. Draw an Edgeworth Box for this economy. Draw and label the following elements: (I) The Walrasian Equilibrium...
Can anyone help me with this one? Two agents have identical quasilinear preferences U(x, y)-u(x) +y, where u(x) =|x-1 + 1 , x > 1 Agent I's endowment is (3/2, 1/2) and agent 2's endowment is (1/2, 3/2). Normalize so that the price of good 2 is 1. There is a Walrasian Equilibrium at which the price of good 1 is greater than 1/2. Draw an Edgeworth Box for this economy. Draw and label the following elements: (I) The Walrasian...
I need help solving this exercise from a course called Advanced Microeconomics in MSc in Economics. Thank you in advance Exercise 4 (General Equilibrium). Two agents have identical quasilinear preferences U(x,y) -u(x) +y, where u(x) Agent 1's endowment is (3/2, 1/2) and agent 2's endowment is (1/2,3/2). Normalize so that the price of good 2 is 1. 1. Calculate a Walrasian equilibrium at which the price of good 1 is greater than 1/2. Are there other Walrasian equilibria? 2. Draw...
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...
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)...
A and B have identical preferences u(x, y) = min{x,y). A's endowment is (1,9) and B's endowment is (19,11). Is (10,10) in the core? A Yes No
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...
5. (We will solve in class) Ali's utility function is U r,y) = 2/4/3/4 and his initial endowment is w^ = (1,0). Beatrice's utility function is u (x,y) = 23/4, 1/4 and her initial endowment is B = (3,4). (a) (5 Points) Find the contract curve. (6) (3 Point) Find the Walrasian equilibrium allocation [(x^,y),( economy y)] and price ratio pz/P, for this exchange
Molly consumes two goods, good x and good y and her preferences are represented by the utility function U (x, y) = 1/2x^2 + 4y. 1. Draw (sketch) Molly’s indifference curves for U(x,y) = 10, U(x,y) = 16, U(x,y) = 24 and for U(x,y) = 32.5. 2. Do Molly’s preferences satisfy strict monotonicity? Explain briefly 3. Do the indifference curves you’ve drawn reflect preferences that are convex? Explain briefly