The substitution effect refers to the tendency for consumers to substitute away from a good when its price rises, and move toward a good whose price has fallen.
No matter how income is affected, the substitution effect is always negative for the good whose price increased.
In a Two-Good World:
If you're only dealing with two goods, they are necessarily substitutes for each other because when the price of one rises, you can only substitute with the other good.
In a Multi-Good World:
In real life, we have more than two goods. Some goods are often consumed together (like pipes and pipe tobacco or bread and cheese). These are called complements.
Substitution Away from Complements:
Even with many goods, when the price of one good rises, you will substitute away from goods consumed jointly with the good whose price increased (complements).
Cross-Price Elasticity for Complements:
The relationship between complements is shown through negative cross-price elasticity. This means:
As the price of one good rises, the demand for its complement decreases.
Perfect Substitutes:
Perfect substitutes are goods that are viewed as exactly the same by consumers.
Example: If Coca-Cola and Pepsi are perfect substitutes for you, you will always buy whichever one is cheaper.
Perfect Complements:
Perfect complements are goods that are always consumed together in fixed proportions.
The indifference curves for perfect complements are L-shaped because more of one good alone doesn't increase your satisfaction—you need both goods in fixed amounts.
Perfect Substitutes:
The indifference curves are downward-sloping straight lines because you are always willing to trade one unit of one good for a unit of the other.
Perfect Complements:
The indifference curves are L-shaped because you only get utility (satisfaction) from consuming the two goods together in fixed proportions