INDIFFERENCE CURVE CONCEPT

  1. It is a curve that shows various possible combinations of two goods in which a consumer is indifferent.
  2. It is a curve that indicates all possible combinations of two goods that give the same level of satisfaction to a consumer.
  3. It is a curve that identities all market baskets that yields the same amount of satisfaction.
  4. It represents different quantities of goods and services from which a consumer derives equal utility (satisfaction).
  5. It reveals alternative bundles of goods and services among which a consumer is indifferent.

We have deliberately used different synonymous words and phrases in the different approaches in the definition of indifference curve so as to enable students to have an in depth knowledge of the introductory aspect of the topic.

Indifference Curve has negative slope; that is, it slopes downward form left to right. Its slope reflects axiom of diminishing marginal rate of substitution.

 

Illustration with two goods

Let us assume that a consumer consumes only two commodities: Beef and Rice. He may have equal preference on the two commodities; or he prefers a larger quantity of beef and a less quantity of rice. Alternatively, he varies the proportion of one to another in various forms; it-may be in ratio of 5 to 2, 6 to 1, 4 to 3, etc. How his preference varies on the two items from time to time is shown in table 6 below.

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It shows various combinations of beef and rice which give equal satisfaction to the consumer. Thus he is indifferent among the alternatives as anyone confers equal utility upon him. That is, any one gives him equal satisfaction. And the graphical illustration is show in figure 6.

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The combinations at any of the points: A, B, C. D and E gives equal satisfaction to the consumer. That is, he derives the same amount of satisfaction from either having 25 kilos of beef and 3 baskets of rice or 15 kilos of beef and 7 baskets of rice. Thus any of the above bundles confers (gives) equal utility upon the consumer. Hence it is said that he is indifferent among the various bundles of the two items.

The combination of the two items at point F which is on the left of curve PP gives lower amount of satisfaction to the consumer than a combination exactly located on the curve. It is because combination F contains a fewer quantity of both items than those on the curve.

While point G, which is on the right of the curve, gives greater satisfaction to the consumer than the bundles located on the curve. It is because point G contains a larger quantity of both items than those combinations located on the curve. Thus point G is superior to any bundle located on the indifference curve; while point F is inferior to any of them.

A consumer behaves:

  1. prudently (wisely) if he chooses bundle G instead of any bundle on the curve.
  2. foolishly if he prefers combination F to bundles on the indifference curve.
  3. rationally (wisely) if he is indifferent among the combinations located exactly on the curve.

Note: At any point on the indifference curve, the level of utility (satisfaction) is always the same.

 

Indifference Map

It is a set of indifference curves. “That is, indifference Map (IM) consists of many indifference curves as illustrated in figure 7. As one moves form one indifference curve like Cl to another like C2, C3, the combination of the two commodities increases. In other words, point B on C5 contains larger quantities of both beef and rice than point A located on Cl as clearly indicated in the figure.

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Combination B > Combination A. That is, bundle B yields greater satisfaction than bundle A.

 

Relevant concepts:

1) Consumer Equilibrium

He achieves equilibrium at the point where he maximizes his total utility by spending his given income, e.g. his salary. In other words, total utility is maximized at the point where marginal utility of a naira worth of one commodity is equal to marginal utility of a naira worth of all other commodities. acquired, Graphically, it occurs at the point where an indifference curve is just tangential to his budget line.

 

2) Budget Line

It is a line that shows alternative combination of two goods which a consumer can buy with his given income (e.g. salary) if their prices are constant in a given period.

Mathematically, his total utility maximizing equation is as follows:

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A consumer is in equilibrium at the level in which he derives maximum satisfaction from the various goods and services he acquires and consumed.

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Note: At point E, the marginal rate of substitution (the rate at which a consumer substitutes one good for another) between the two goods is the same.

 

Substitution effect

It is an effect of a use of one item in a place of another (or the use of a larger quantity of one good than another) due to changes in their relative prices. If a price of commodity A falls, buyers tend to substitute it for another commodity (commodity B whose price either remains the same or increases).

They buy more of commodity A than commodity B.

This situation rotates the budget line ‘AB along the same indifference curve ( indifference curve 1) reflecting increase in quantity demanded of commodity A and less of commodity B. Thus there are two equilibrium points: Eo and El as shown in figure below. The difference between the two equilibrium points is called ‘substitution effect“.

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Income Effects

It is an effect arising from increase in real income (a rise in his purchasing power) because of changes in relative prices of commodities (A and B) which he uses. This necessitates (causes) a parallel shift of the budget line outward to be tangential to a higher indifference curve (indifference curve 2) at an equilibrium point of E2. The difference between the second equilibrium point (El) and the third : equilibrium point (E2) is called ‘Income Effect”.

Both effects are clearly illustrated in figure above.

Q1Q2 = Substitution Effect (Sub. E).

Q2Q3 = Income Effect.

The line that joins Equilibrium Eo and equilibrium E2 is called. ‘Price consumption line for commodity X’.

Figure above shows both substitution and income effects.

  1. Both effects are responsible for the downward sloping of a normal demand curve.
  2. The substitution effect is due to the rotation of the budget line along the first fixed indifference curve. While the Income effect arises from the parallel shift of the budget line.
  3. An inferior good has a negative income effect. For a typical inferior good, the income effect outweighs the substitution effect. But for a normal good, the income effect only reduces the substitution effect.

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