0
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
9
Commodity X
C
o
m
m
o
d
it
y
Y
FIGURE 5.2: EDGEWORTH BOX DIAGRAM FOR EXCHANGE
In the above figure, the indifference
curves of individual A,
convex to origin 0
A
, are given by A
1
, A
2
, and A
3
and the indifference
curves of individual B, convex to origin 0
B
, are given by B
1
, B
2
, and
B
3
. The dimensions of the box are given by the total amount of the
two commodities (10X and 8Y) owned by the two individuals
together. Any point inside the box indicates how the total amount of
the two commodities is distributed between the two individuals. For
example, point C indicates that individual A has 3X and 6Y, while
individual B has 7X and 2Y, for the combined total of 10X and 8Y.
Suppose that point C does in fact represent the original distribution
of commodities X and Y between individuals A and B. since at point
C,
indifference curve A
1
and B
1
intersect, their slope or marginal
rate of substitution of commodity X for commodity Y (MRS
XY
)
differs. Starting at point C, individual A is willing to give up 4Y to get
one additional unit of X (and
move to point D on A
1
), while
individual B is willing to accept 0.2Y in
exchange for one unit of X
(and move to point H on B
1
). Because A is willing to give up much
more Y than necessary to induce B to give up 1X, there is a basis
for exchange that will benefit either or both individuals. This is true
whenever, as at point C,
the MRS
XY
for the two individuals differs.
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