An indifference curve:
The above
diagram shows the U indifference curve showing bundles of goods A and B. To the
consumer, bundle A and B are the same as both of them give him the equal
satisfaction. In other words, point A gives as much utility as point B to the
individual. The consumer will be satisfied at any point along the curve
assuming that other things are constant.
Characteristics/properties
of an indifference curve:
Following are the indifference curve
properties:
1. If two commodities are perfect
substitute the indifference curve is a straight line.
2. When two commodities are not
substitutable then the shape is represented by two vertical and horizontal
lines.
3. In more typical cases, in which
the two commodities can be substituted for each other but are not perfect
substitutes, the indifference curve will be curved as
6. The absolute value of the slope of an indifference
curve at any point represents the ratio of the marginal utility of the good and
on the horizontal axis to the marginal utility of the good on the vertical
axis. The rate at which one good can be substituted for the other without gain
or loss in satisfaction is called marginal rate of substitution.
7. Indifference curves are convex, that is, their
slope decrease as one moves down and to the right along them. The implies that
the ratio of the marginal utility of meat to the marginal utility of the ghee
(cooking oil) also known as marginal ratio of substitution of meat for ghee
(cooking oil) diminishes as one moves down and to the right along the curve.
8. Indifference curves can be drawn through the point
that represents the basket of goods whatsoever.
a)
Explain
with the help of an indifference curve analysis how a consumer reaches the
highest level of satisfaction? (May’06,Nov’07,’10)
Consumer’s
Equilibrium by Indifference Curve:
Consumer equilibrium
refers to a situation, in which a consumer derives maximum satisfaction, with
no intention to change it and subject to given prices and his given income. The
point of maximum satisfaction is achieved by studying indifference map and
budget line together.
Conditions of
Consumer’s Equilibrium:
The consumer’s
equilibrium under the indifference curve theory must meet the following two
conditions:
(i) MRSXY
= Ratio of prices or PX/PY
Let the two goods be
X and Y. The first condition for consumer’s equilibrium is that
MRSXY = PX/PY
a. If MRSXY
> PX/PY, it means that the consumer is willing to pay
more for X than the price prevailing in the market. As a result, the consumer
buys more of X. As a result, MRS falls till it becomes equal to the ratio of
prices and the equilibrium is established.
b. If MRSXY
< PX/PY, it means that the consumer is willing to pay
less for X than the price prevailing in the market. It induces the consumer to
buys less of X and more of Y. As a result, MRS rises till it becomes equal to
the ratio of prices and the equilibrium is established.
(ii) MRS
continuously falls:
The second condition
for consumer’s equilibrium is that MRS must be diminishing at the point of
equilibrium, i.e. the indifference curve must be convex to the origin at the
point of equilibrium. Unless MRS continuously falls, the equilibrium cannot be
established.
Thus, both the
conditions need to be fulfilled for a consumer to be in equilibrium.
Let us now
understand this with the help of a diagram:
In Fig. 2.12, IC1,
IC2 and IC3 are the three indifference curves and AB is
the budget line. With the constraint of budget line, the highest indifference
curve, which a consumer can reach, is IC2. The budget line is
tangent to indifference curve IC2 at point ‘E’. This is the point of
consumer equilibrium, where the consumer purchases OM quantity of commodity ‘X’
and ON quantity of commodity ‘Y.
All other points on
the budget line to the left or right of point ‘E’ will lie on lower
indifference curves and thus indicate a lower level of satisfaction. As budget
line can be tangent to one and only one indifference curve, consumer maximizes
his satisfaction at point E, when both the conditions of consumer’s equilibrium
are satisfied:
(i) MRS = Ratio
of prices or PX/PY:
At tangency point E,
the absolute value of the slope of the indifference curve (MRS between X and Y)
and that of the budget line (price ratio) are same. Equilibrium cannot be
established at any other point as MRSXY > PX/PY
at all points to the left of point E and MRSXY < PX/PY
at all points to the right of point E. So, equilibrium is established at point E,
when MRSXY = PX/PY.
(ii) MRS
continuously falls:
The second condition
is also satisfied at point E as MRS is diminishing at point E, i.e. IC2
is convex to the origin at point E.






