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There are two parts of the Slutsky equation, namely the substitution effect and income effect. In general, the substitution effect is negative. Slutsky derived this formula to explore a consumer's response as the price of a commodity changes. When the price increases, the budget set moves inward, which also causes the quantity demanded to decrease.
The Hicks substitution effect is illustrated in the next section. Some authors refer to one of these two concepts as simply the substitution effect. The popular textbook by Varian [1] describes the Slutsky variant as the primary one, but also gives a good explanation of the distinction.
The Hicksian demand function isolates the substitution effect by supposing the consumer is compensated with exactly enough extra income after the price rise to purchase some bundle on the same indifference curve. [2] If the Hicksian demand function is steeper than the Marshallian demand, the good is a normal good; otherwise, the good is inferior.
The substitution effect says that if the demand for both goods is homogeneous, when the price of one good decreases (holding the price of the other good constant) the consumer will consume more of this good and less of the other as it becomes relatively cheeper. The same goes if the price of one good increases, consumers will buy less of that ...
The book decomposes the change into the substitution effect and the income effect. The latter is the change in real income in theoretical terms without which the distinction between real and nominal values would be more problematic. The two effects are now standard in consumer theory. The analysis conforms with a proportionate change in money ...
The substitution effect is the effect that a change in relative prices of substitute goods has on the quantity demanded. It due to a change in relative prices between two or more substitute goods. When the price of a commodity falls and prices of its substitutes remain unchanged, it becomes relatively cheaper in comparison to its substitutes.
The book built on ordinal utility and mainstreamed the now-standard distinction between the substitution effect and the income effect for an individual in demand theory for the 2-good case. It generalised the analysis to the case of one good and a composite good, that is, all other goods. It aggregated individuals and businesses through demand ...
Slutsky is principally known for work in deriving the relationships embodied in the Slutsky equation widely used in microeconomic consumer theory for separating the substitution effect and the income effect of a price change on the total quantity of a good demanded following a price change in that good, or in a related good that may have a cross-price effect on the original good quantity.