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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 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 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 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 ...
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The equivalent variation is the change in wealth, at current prices, that would have the same effect on consumer welfare as would the change in prices, with income unchanged. It is a useful tool when the present prices are the best place to make a comparison.
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.
When is continuously differentiable, this integrability condition is equivalent to the symmetry of the substitution matrix (() /), =. (In consumer theory , the same argument applied to the expenditure minimization problem yields symmetry of the Slutsky matrix .)