Definition, Explanation and Diagram:
An indifference curve shows
combination of goods between which a person is indifferent. The main attributes
or properties or characteristics of indifference curves are as follows:
(1) Indifference Curves are
Negatively Sloped:
The indifference curves must slope
down from left to right. This means that an indifference curve is negatively
sloped. It slopes downward because as the consumer increases the consumption of
X commodity, he has to give up certain units of Y commodity in order to
maintain the same level of satisfaction.
In fig. 3.4 the two combinations of
commodity cooking oil and commodity wheat is shown by the points a and b on the
same indifference curve. The consumer is indifferent towards points a and b as
they represent equal level of satisfaction.
At point (a) on the indifference
curve, the consumer is satisfied with OE units of ghee and OD units of wheat.
He is equally satisfied with OF units of ghee and OK units of wheat shown by
point b on the indifference curve. It is only on the negatively sloped curve
that different points representing different combinations of goods X and Y give
the same level of satisfaction to make the consumer indifferent.
(2) Higher Indifference Curve
Represents Higher Level:
A higher indifference curve that
lies above and to the right of another indifference curve represents a higher
level of satisfaction and combination on a lower indifference curve yields a
lower satisfaction.
In other words, we can say that the
combination of goods which lies on a higher indifference curve will be
preferred by a consumer to the combination which lies on a lower indifference
curve.
In this diagram (3.5) there are
three indifference curves, IC1, IC2 and IC3
which represents different levels of satisfaction. The indifference curve IC3
shows greater amount of satisfaction and it contains more of both goods than IC2
and IC1 (IC3 > IC2 > IC1).
(3) Indifference Curve are Convex to
the Origin:
This is an important property of
indifference curves. They are convex to the origin (bowed inward). This is
equivalent to saying that as the consumer substitutes commodity X for commodity
Y, the marginal rate of substitution diminishes of X for Y along an
indifference curve.
In this figure (3.6) as the consumer
moves from A to B to C to D, the willingness to substitute good X for good Y
diminishes. This means that as the amount of good X is increased by equal
amounts, that of good Y diminishes by smaller amounts. The marginal rate of
substitution of X for Y is the quantity of Y good that the consumer is willing
to give up to gain a marginal unit of good X. The slope of IC is negative. It
is convex to the origin.
(4) Indifference Curve Cannot
Intersect Each Other:
Given the definition of indifference
curve and the assumptions behind it, the indifference curves cannot intersect
each other. It is because at the point of tangency, the higher curve will give
as much as of the two commodities as is given by the lower indifference curve.
This is absurd and impossible.
In fig 3.7, two indifference curves
are showing cutting each other at point B. The combinations represented by
points B and F given equal satisfaction to the consumer because both lie on the
same indifference curve IC2. Similarly the combinations shows by
points B and E on indifference curve IC1 give equal satisfaction top
the consumer.
If combination F is equal to
combination B in terms of satisfaction and combination E is equal to
combination B in satisfaction. It follows that the combination F will be
equivalent to E in terms of satisfaction. This conclusion looks quite funny
because combination F on IC2 contains more of good Y (wheat) than
combination which gives more satisfaction to the consumer. We, therefore,
conclude that indifference curves cannot cut each other.
(5) Indifference Curves do not Touch
the Horizontal or Vertical Axis:
One of the basic assumptions of
indifference curves is that the consumer purchases combinations of different
commodities. He is not supposed to purchase only one commodity. In that case
indifference curve will touch one axis. This violates the basic assumption of
indifference curves.
In fig. 3.8, it is shown that the in
difference IC touches Y axis at point C and X axis at point E. At point
C, the consumer purchase only OC commodity of rice and no commodity of wheat,
similarly at point E, he buys OE quantity of wheat and no amount of rice. Such
indifference curves are against our basic assumption. Our basic assumption is
that the consumer buys two goods in combination.
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