Question

UA = ?^1/2?^1/4 and (??x, ??y) = (90,30) UB = ?1/2?^1/4 and (??x, ??y) = (10,50)...

UA = ?^1/2?^1/4 and (??x, ??y) = (90,30)

UB = ?1/2?^1/4 and (??x, ??y) = (10,50)

For each of the above economies

  1. a) Derive the contract curve.

  2. b) Find the competitive equilibrium price ratio and allocation.

  3. c) Use an Edgeworth box to illustrate the competitive equilibrium

Homework Answers

Answer #1

C) box dimensions : 100×80

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Cali and David both collect stamps (x) and fancy spoons (y). They have the following preferences...
Cali and David both collect stamps (x) and fancy spoons (y). They have the following preferences and endowments. Uc (x, y) = xc.yc2 ωc = (10, 5.2) UD (x, y) = xD. yD ωD = (14, 6.8) Write down the resource constraints and draw an Edgeworth box that shows the set of feasible allocations. Label the current allocation inside the box. How much utility does each person have? Show that the current allocation of stamps and fancy spoons is not...
2) For two agents, a and b, with the following utility functions over goods x and...
2) For two agents, a and b, with the following utility functions over goods x and y (6) ua=ua(xa,ya)=xaya ub=ub(xb,yb)=xbyb a) Determine the slope of the contract curve in the interior of an Edgeworth box that would show this two-person two-goods situation. b) For initial endowments ωa=(12,7) and ωb=(9,10), what is the Walras allocation between the two agents a and b? (Remember that it is the relative price of the goods that matters in this consideration. Also remember that all...
) For two agents, a and b, with the following utility functions over goods x and...
) For two agents, a and b, with the following utility functions over goods x and y (6) ua= ua(xa,ya)=xa^1/4 ya^3/4 ub=ub (xb,yb) = xb^1/2 yb^1/2 Determine the slope of the contract curve in the interior of an Edgeworth box that would show this two-person two-goods situation.
Consider a pure exchange economy with two consumers, Ann (A) and Bob (B), and two commodities,...
Consider a pure exchange economy with two consumers, Ann (A) and Bob (B), and two commodities, 1 and 2, denoted by (x^A_1, x^A_2) and (x^B_1, x^B_2). Ann’s initial endowment consists of 20 units of good 1 and 5 units of good 2. Bob’s initial endowment consists of 0 unit of good 1 and 5 units of good 2. The consumers’ preferences are represented by the following Cobb-Douglas utility functions:U^A(x^A_1, x^A_2) = (x^A_1)^2(x^A_2)^2 and U^B=√x&B1√x^B2. Denote by p1 and p2 the...
ua (xa) = min (​​2x​1​a​,x2a​,x3​a​) endowment ​​ (2,2,2) ​ ub (xb) = min (x1b, 2x2​b​, x​3​b​)...
ua (xa) = min (​​2x​1​a​,x2a​,x3​a​) endowment ​​ (2,2,2) ​ ub (xb) = min (x1b, 2x2​b​, x​3​b​) endowment (2,2,2) u​c (xc) = min (x​1c,x2c, 2x3c​) endowmwnt (2,2,2) (note 2x​1 means 2 times good x1​) consider the following exchange economy with three consumers (a b c) and the following goods (1, 2 and 3)    (a) calculate each consumers level of utility at the autarkic allocation    (b) show that the autarkic allocation is NOT pareto efficient by identifying another FEASIBLE allocation...
Suppose there are two consumers, A and B, and two goods, X and Y. The consumers...
Suppose there are two consumers, A and B, and two goods, X and Y. The consumers have the following initial endowments and utility functions: W X A = 2 W Y A = 9 U A ( X , Y ) = X 1 3 Y 2 3 W X B = 6 W Y B = 2 U B ( X , Y ) = 3 X + 4 Y Suppose the price of X is PX=2 and the...
4: There is an exchange economy with two agents, A, B, and two goods,  x, y. A's...
4: There is an exchange economy with two agents, A, B, and two goods,  x, y. A's endowment is x = 6, y = 4, and B's endowment is x = 4, y = 6. (a) A has the utility function  u(x, y) = x + y  and B u(x, y) = xy. Find a competitive equilibrium allocation (CEA) and associated equilibrium prices. What difference would it make if A's endowment is x = 3, y = 1, and B's endowment is x...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X^1/2*Y^1/2 UB(X,Y) = 3X + 2Y The initial endowments are: A: X = 4; Y = 4 B: X = 4; Y = 12 a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately....
1. Suppose there are two consumers, A and B. The utility functions of each consumer are...
1. Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X*Y UB(X,Y) = X*Y3 Therefore: • For consumer A: MUX = Y; MUY = X • For consumer B: MUX = Y3; MUY = 3XY2 The initial endowments are: A: X = 10; Y = 6 B: X = 14; Y = 19 a) (40 points) Suppose the price of Y, PY = 1. Calculate the price of X, PX...
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A...
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer B is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer A’s utility function is given by: UA(X,Y) = X*Y4, and consumer B’s utility function is given by UB(X,Y) = X*Y. Therefore, consumer A’s marginal utilities for each...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT