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In economics, the cross (or cross-price) elasticity of demand (XED) measures the effect of changes in the price of one good on the quantity demanded of another good. This reflects the fact that the quantity demanded of good is dependent on not only its own price (price elasticity of demand) but also the price of other "related" good.
where ε p is the (uncompensated) price elasticity, ε p h is the compensated price elasticity, ε w,i the income elasticity of good i, and b j the budget share of good j. Overall, in simple words, the Slutsky equation states the total change in demand consists of an income effect and a substitution effect and both effects collectively must ...
When the price elasticity of demand is unit (or unitary) elastic (E d = −1), the percentage change in quantity demanded is equal to that in price, so a change in price will not affect total revenue. When the price elasticity of demand is relatively elastic (−∞ < E d < −1), the percentage change in quantity demanded is greater than that ...
Formula for cross-price elasticity. Cross-price elasticity of demand (or cross elasticity of demand) measures the sensitivity between the quantity demanded in one good when there is a change in the price of another good. [17] As a common elasticity, it follows a similar formula to price elasticity of demand.
A substitute good is a good with a positive cross elasticity of demand. This means that, if good x j {\displaystyle x_{j}} is a substitute for good x i {\displaystyle x_{i}} , an increase in the price of x i {\displaystyle x_{i}} will result in a leftward movement along the demand curve of x i {\displaystyle x_{i}} and cause the demand curve ...
The Cross elasticity of demand, also commonly referred to as the Cross-price elasticity of demand, allows companies to establish competitive prices against substitute goods and complementary goods. The metric figure produced by the equation thus determines the strength of both the relationship and competition between the two goods. [15]
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.
Although Marshallian demand is in the context of partial equilibrium theory, it is sometimes called Walrasian demand as used in general equilibrium theory (named after Léon Walras). According to the utility maximization problem, there are L {\displaystyle L} commodities with price vector p {\displaystyle p} and choosable quantity vector x ...