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Good X is an inferior good since the amount bought decreases from X1 to X2 as income increases. In economics, inferior goods are those goods the demand for which falls with increase in income of the consumer. So, there is an inverse relationship between income of the consumer and the demand for inferior goods. [1]
the good in question must be an inferior good, there must be a lack of close substitute goods, and; the goods must constitute a substantial percentage of the buyer's income, but not such a substantial percentage of the buyer's income that none of the associated normal goods are consumed.
A positive income elasticity of demand is associated with normal goods; an increase in income will lead to a rise in quantity demanded. If income elasticity of demand of a commodity is less than 1, it is a necessity good. If the elasticity of demand is greater than 1, it is a luxury good or a superior good.
The Income elastitcty of demand thus allows goods to be broadly categorised as Normal goods and Inferior goods. A positive measurement suggests that the good is a normal good, and a negative measurement suggests an inferior good. The Income elasticity of demand effectively represents a consumers idea as to whether a good is a luxury or a necessity.
A good's Engel curve reflects its income elasticity and indicates whether the good is an inferior, normal, or luxury good. Empirical Engel curves are close to linear for some goods, and highly nonlinear for others. For normal goods, the Engel curve has a positive gradient. That is, as income increases, the quantity demanded increases.
If the good in question is a normal good and its price rises, the income effect from the fall in purchasing power reinforces the substitution effect. If the good is an inferior good, the income effect will offset in some degree to the substitution effect.
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A Giffen good is a product that is in greater demand when the price increases, which are also special cases of inferior goods. [5] In the extreme case of income inferiority, the size of income effect overpowers the size of the substitution effect, leading to a positive overall change in demand responding to an increase in the price.