The law of demand
Demand is the quantity of a good that consumers are willing and able to buy at each possible price over a period of time. The law of demand says that, ceteris paribus, as price rises quantity demanded falls, and as price falls quantity demanded rises. This gives a downward-sloping demand curve.
Diagram in words: price (P) on the vertical axis, quantity (Q) on the horizontal axis. The demand curve (D) slopes down from left to right. A change in the good's own price moves you along the curve.
Market demand is the horizontal sum of all individual demand curves: at each price, add the quantities each consumer would buy.
Movements versus shifts
- A change in the good's own price causes a movement along the curve, called an extension (price falls) or contraction (price rises) of quantity demanded.
- A change in any non-price determinant shifts the whole curve: right means more is demanded at every price, left means less.
Non-price determinants
- Income: for a normal good, higher income shifts demand right; for an inferior good (cheap own-brand products, bus travel in some places) it shifts left.
- Prices of related goods: a rise in the price of a substitute shifts demand right; a rise in the price of a complement shifts it left.
- Tastes and preferences, often shaped by advertising or health information.
- Expectations of future prices or income.
- Number of consumers, including population and demographic change.
(HL) Why the curve slopes down
Diminishing marginal utility (HL): each extra unit consumed adds less satisfaction than the previous one. A consumer will only buy more units if the price falls to match the lower extra benefit, so the demand curve slopes down. The demand curve can be read as a marginal benefit curve.
Income and substitution effects (HL): when price falls,
- the substitution effect makes the good relatively cheaper than alternatives, so consumers switch towards it;
- the income effect raises consumers' real income (purchasing power), so for a normal good they buy more.
Both work in the same direction for normal goods, reinforcing the law of demand.
(HL) Linear demand functions
Demand can be written as \(Q_d = a - bP\). Here \(a\) is the quantity demanded at a zero price and \(b\) shows how much quantity changes for each one-unit change in price. A change in \(a\) is a shift; a change in \(P\) is a movement.
Worked example (HL): \(Q_d = 80 - 4P\).
- At P = 5: \(Q_d = 80 - 20 = 60\). At P = 8: \(Q_d = 80 - 32 = 48\).
- The price at which demand reaches zero: \(0 = 80 - 4P\), so P = 20.
- Rising incomes add 20 units at every price: new function \(Q_d = 100 - 4P\). At P = 5, quantity is now 80. The slope is unchanged, so the curve shifts right in parallel.
Common mistakes
- Saying "demand rises" when price falls. Price changes alter quantity demanded, not demand.
- Shifting the demand curve when a supply-side factor changes.
- Forgetting "able" in the definition: wanting something without the money to pay is not demand.
- Assuming every good is normal. Check the context for inferior goods.
Exam tips
- 10-mark questions: define demand, draw a correctly labelled diagram (P, Q, D1, D2, arrows, new equilibrium if supply is shown) and explain the specific determinant in the question's context.
- 15-mark questions: demand usually appears inside a wider issue (a sugar tax, an advertising ban). Use demand shifts as part of your analysis, then evaluate magnitude, time frame and stakeholders.
- In calculations, show the substitution of each price into the function; one-mark answers still need working.