Question

1. Assume an exchange economy with two goods and two agents. What would nap with the vector of prices if we have an excess de
0 0
Add a comment Improve this question Transcribed image text
Answer #1

When there is excess demand for the good 1 (horizontal line) and excess supply of good 2 ( vertical line). Then the vector of price must change to eliminate the excess supply and excess demand. The Slope of the budget line is given by -p1/p2. When there is an excess demand for good 1, the price of good 1 must rise to eliminate any mismatch between the endowment and the demand. Thus the price of good 1 rises. The excess supply of good 2 imply that the endowment is greater than what people want to buy at the given prices. This imply that the price of good 2 is high and therefore to restore equilibrium in the good 2 market the price of good 2 must fall Thus the price of good 2 falls. The slope of the new budget line will increase in absolute terms and the relative positions of the ICs of the individuals in the exchange economy will change to eliminate the mismatch between supply and demand for two goods rendering the excess demand and excess supply to be equal to zero.

Add a comment
Know the answer?
Add Answer to:
1. Assume an exchange economy with two goods and two agents. What would nap with the...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider an exchange economy with two goods and two agents. Agent A likes to consume more...

    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...

  • Consider an exchange economy with two types of agents, A and B, and two goods,x1 and...

    Consider an exchange economy with two types of agents, A and B, and two goods,x1 and x2. Preferences are given by uA(x1, x2) =x1+ ln(x2) and uB(x1, x2) = ln(x1) + ln(x2). Let ωA= (10,0) andωB= (0,20). Let p2= 1. What is p1 in a competitive equilibrium? (a) 10 (b) 20 (c) 1/10 (d) 1/207. (Continued from previous question) Assume the government wants to ensure that in the competitive equilibrium xB1= 5. To achieve they will redistribute endowments in the...

  • Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and...

    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)...

  • 6) A pure-exchange economy has n consumers and two goods. The aggregate excess demand functions for goods 1 and 2, defi...

    6) A pure-exchange economy has n consumers and two goods. The aggregate excess demand functions for goods 1 and 2, defined for all strictly positive price vectors p (pi, p2), are given by Z,(p) = I'l n-A and Z. (p)-n n-B where A and B are real numbers. Assume that 2p2 P1 these excess demand functions are derived from each consumer i maximizing a strictly monotonic utility function subject to the budget constraint р.Х. DN a) Find all values of...

  • Question v) to question viii) Thank you An economy has three agents, A. B and C,...

    Question v) to question viii) Thank you An economy has three agents, A. B and C, and three goods 1, 2 and 3. The endowments of the three consumers are as follows e (3,0,0); e (i) Write down the total endowment vector of the economy. (0,5,0); (1,1,1) Given a price vector p (p,P2 Pa), the demand functions of the three agents for cach of the three goods are as follows (I am giving these to you rather than ask you...

  • Please help me with my homework, thanks! 6) A pure-exchange economy has n consumers and two goods. The aggregate excess...

    Please help me with my homework, thanks! 6) A pure-exchange economy has n consumers and two goods. The aggregate excess demand functions for goods 1 and 2, defined for all strictly positive price vectors p (pi, p2), are given by Z,(p) = I'l n-A and Z. (p)-n n-B where A and B are real numbers. Assume that 2p2 P1 these excess demand functions are derived from each consumer i maximizing a strictly monotonic utility function subject to the budget constraint...

  • Consider an exchange economy with two consumers, A and B, who can consume only two goods....

    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 goods, wine (x) and cheese (y) and two con-...

    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...

  • 6. Assume that you have two agents with the following utility functions: u1(x,y)-21n(x)+In(y) and uz(x,y)-In(x)+3 1n(y)....

    6. Assume that you have two agents with the following utility functions: u1(x,y)-21n(x)+In(y) and uz(x,y)-In(x)+3 1n(y). The endowments are wi-(5,4) and W2 (2,6). What should be the vector of prices (px', py) in order to achieve equilibrium (supply=demand). Assume that p 2.5, what is py' and what should be the optimal quantities of x and y for each agent?

  • Anything will help Consider a pure exchange economy with two goods, wine (x) and cheese (y)...

    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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT