Consider the pure exchange economy with 2 goods, good 1 and good 2, and two consumers, consumer A and consumer B. The consumers have the following utility functions: UA(X1A,X2A)=X1A+3X2A; UB(X1B,X2B)=X1B +X2B. Consumer A is initially endowed with 4 units of good A and no unit of good 2, that is, consumer A's initial endowment is (w1A,W2A)=(4,0). Consumer B is initially endowed with 3 units of good 2 and no unit of good 1, that is, (W1B, W2B)=(0,3). In order to implement the allocation (X1A,X2A)=(0,1), (X1B,X2B)=(4,2) as a Walrasian equilibrium, what transfer of wealth should we make between the consumers if good 1 is the numeraire, that is, if p₁ =1? O a. An amount 7 of wealth should be transferred from consumer A to consumer B. O b. None of the other answers. ○ c. An amount 3 of wealth should be transferred from consumer A to consumer B. O d. An amount 3 of wealth should be transferred from consumer B to consumer A.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
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Consider the pure exchange economy with 2 goods, good 1 and good 2, and two consumers,
consumer A and consumer B. The consumers have the following utility functions:
UA(X1A,X2A)=X1A+3X2A; UB(X1B,X2B)=X1B +X2B. Consumer A is initially endowed with 4 units of good
A and no unit of good 2, that is, consumer A's initial endowment is (w1A,W2A)=(4,0). Consumer B
is initially endowed with 3 units of good 2 and no unit of good 1, that is, (w1B,W2B)=(0,3). In order
to implement the allocation (x1A,X2A)=(0,1), (x1B,X2B)=(4,2) as a Walrasian equilibrium, what
transfer of wealth should we make between the consumers if good 1 is the numeraire, that is, if p1
=1?
An amount 7 of wealth should be transferred from consumer A to consumer B.
O a.
O b. None of the other answers.
O c.
An amount 3 of wealth should be transferred from consumer A to consumer B.
O d. An amount 3 of wealth should be transferred from consumer B to consumer A.
e.
An amount 7 of wealth should be transferred from consumer B to consumer A.
Transcribed Image Text:Consider the pure exchange economy with 2 goods, good 1 and good 2, and two consumers, consumer A and consumer B. The consumers have the following utility functions: UA(X1A,X2A)=X1A+3X2A; UB(X1B,X2B)=X1B +X2B. Consumer A is initially endowed with 4 units of good A and no unit of good 2, that is, consumer A's initial endowment is (w1A,W2A)=(4,0). Consumer B is initially endowed with 3 units of good 2 and no unit of good 1, that is, (w1B,W2B)=(0,3). In order to implement the allocation (x1A,X2A)=(0,1), (x1B,X2B)=(4,2) as a Walrasian equilibrium, what transfer of wealth should we make between the consumers if good 1 is the numeraire, that is, if p1 =1? An amount 7 of wealth should be transferred from consumer A to consumer B. O a. O b. None of the other answers. O c. An amount 3 of wealth should be transferred from consumer A to consumer B. O d. An amount 3 of wealth should be transferred from consumer B to consumer A. e. An amount 7 of wealth should be transferred from consumer B to consumer A.
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