Theory of Consumer Behaviour

This chapter studies how individual consumers make choices about spending their income on different goods to maximize satisfaction. Two approaches are presented:

  1. Cardinal Utility Analysis - Measures utility in numerical terms
  2. Ordinal Utility Analysis - Ranks preferences without numerical measurement

2.1 Utility

Utility is the want-satisfying capacity of a commodity. It is subjective and varies between individuals and situations.

2.1.1 Cardinal Utility Analysis

Assumes utility can be measured numerically with two key measures:

Total Utility (TU): Total satisfaction from consuming a quantity of a good

Marginal Utility (MU): Change in TU from consuming one more unit

MUn = TUn - TUn-1

Example:

Units Total Utility Marginal Utility
1 12 12
2 18 6
3 22 4
4 24 2
5 24 0
6 22 -2

Law of Diminishing Marginal Utility

As consumption of a good increases, the MU from each additional unit decreases, holding consumption of other goods constant.

Derivation of Demand Curve

The downward sloping demand curve can be explained by diminishing MU. Consumers are willing to pay less for additional units as MU decreases.

2.1.2 Ordinal Utility Analysis

Consumers rank bundles rather than measure utility numerically. Key concepts:

Indifference Curve

A curve showing all combinations of two goods that give equal satisfaction. Properties:

  1. Downward sloping (more of one good requires less of another for same utility)
  2. Higher curves represent greater satisfaction
  3. Never intersect
  4. Convex to origin due to diminishing Marginal Rate of Substitution (MRS)

Marginal Rate of Substitution (MRS) = |ΔY/ΔX|

The rate at which a consumer is willing to substitute one good for another while maintaining the same utility level

Example of Diminishing MRS:

Combination Bananas (Qx) Mangoes (Qy) MRS
A 1 15 -
B 2 12 3:1
C 3 10 2:1
D 4 9 1:1

Special Cases:

Monotonic Preferences

Consumers always prefer bundles with more of at least one good and no less of the other.

Indifference Map

A family of indifference curves representing different utility levels.

2.2 The Consumer's Budget

2.2.1 Budget Set and Budget Line

Budget Constraint: p1x1 + p2x2 ≤ M

Budget Line: p1x1 + p2x2 = M

Slope of Budget Line = -p1/p2 (price ratio)

The budget line shows all combinations of goods that exhaust the consumer's income.

2.2.2 Changes in the Budget Set

2.3 Optimal Choice of the Consumer

The consumer's optimal bundle is where the budget line is tangent to an indifference curve.

At optimum: MRS = p1/p2

This means the rate at which the consumer is willing to substitute equals the rate at which the market allows substitution.

2.4 Demand

2.4.1 Demand Curve and the Law of Demand

Law of Demand: There is an inverse relationship between price and quantity demanded, other things remaining constant.

Linear Demand: d(p) = a - bp

2.4.2 Deriving Demand Curve

By changing price and observing new optimal points, we trace out the demand curve.

2.4.3 Normal and Inferior Goods

2.4.4 Substitutes and Complements

2.4.5 Shifts vs Movements along Demand Curve

2.5 Market Demand

Market demand is the horizontal summation of individual demand curves.

Market Demand = Σ Individual Demands

2.6 Elasticity of Demand

Price Elasticity (eD) = (Percentage change in quantity)/(Percentage change in price)

eD = (ΔQ/Q)/(ΔP/P) = (ΔQ/ΔP)×(P/Q)

2.6.1 Elasticity along a Linear Demand Curve

Elasticity varies along a straight-line demand curve:

2.6.2 Factors Determining Elasticity

2.6.3 Elasticity and Expenditure

Elasticity Price Increase Price Decrease
Elastic (|eD| > 1) Expenditure decreases Expenditure increases
Unit Elastic (|eD| = 1) Expenditure unchanged Expenditure unchanged
Inelastic (|eD| < 1) Expenditure increases Expenditure decreases

Key Terms

Chapter Summary

Review Questions

  1. What do you mean by the budget set of a consumer?
  2. What is budget line?
  3. Explain why the budget line is downward sloping.
  4. A consumer wants to consume two goods. The prices of the two goods are Rs 4 and Rs 5 respectively. The consumer's income is Rs 20.
    1. Write down the equation of the budget line.
    2. How much of good 1 can the consumer consume if she spends her entire income on that good?
    3. How much of good 2 can she consume if she spends her entire income on that good?
    4. What is the slope of the budget line?
  5. How does the budget line change if the consumer's income increases to Rs 40 but the prices remain unchanged?
  6. How does the budget line change if the price of good 2 decreases by a rupee but the price of good 1 and the consumer's income remain unchanged?
  7. What happens to the budget set if both the prices as well as the income double?
  8. Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are Rs 6 and Rs 8 respectively. How much is the consumer's income?
  9. Suppose a consumer wants to consume two goods which are available only in integer units. The two goods are equally priced at Rs 10 and the consumer's income is Rs 40.
    1. Write down all the bundles that are available to the consumer.
    2. Among the bundles that are available to the consumer, identify those which cost her exactly Rs 40.
  10. What do you mean by 'monotonic preferences'?
  11. If a consumer has monotonic preferences, can she be indifferent between the bundles (10, 8) and (8, 6)?
  12. Suppose a consumer's preferences are monotonic. What can you say about her preference ranking over the bundles (10, 10), (10, 9) and (9, 9)?
  13. Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences of your friend monotonic?