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Marshallian demand function information


In microeconomics, a consumer's Marshallian demand function (named after Alfred Marshall) is the quantity they demand of a particular good as a function of its price, their income, and the prices of other goods, a more technical exposition of the standard demand function. It is a solution to the utility maximization problem of how the consumer can maximize their utility for given income and prices. A synonymous term is uncompensated demand function, because when the price rises the consumer is not compensated with higher nominal income for the fall in their real income, unlike in the Hicksian demand function. Thus the change in quantity demanded is a combination of a substitution effect and a wealth effect. 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 commodities with price vector and choosable quantity vector . The consumer has income , and hence a budget set of affordable packages

where is the dot product of the price and quantity vectors. The consumer has a utility function

The consumer's Marshallian demand correspondence is defined to be

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Marshallian demand function

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a consumer's Marshallian demand function (named after Alfred Marshall) is the quantity they demand of a particular good as a function of its price, their...

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Hicksian demand function

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Hicksian demand function is steeper than the Marshallian demand, the good is a normal good; otherwise, the good is inferior. Hicksian demand always slopes...

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Inverse demand function

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demand equation and solve for P. Hicksian demand function Marshallian demand function Excess demand function Supply and demand Demand Law of demand Profit...

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Demand

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relationship between price and quantity demand is also called the demand curve. Demand for a specific item is a function of an item's perceived necessity, price...

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Expenditure minimization problem

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demand function gives the cheapest package that gives the desired utility. It is related to Marshallian demand function by and expenditure function by...

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Income elasticity of demand

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quantity demanded as income changes, is as follows. For a given Marshallian demand function Q ( I , P → ) , {\displaystyle Q(I,{\vec {P}}),} with arguments...

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Demand curve

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demand function Law of demand Marshallian demand Price point Supply and demand Wikiversity:Building the demand curve Karaivanov, Alexander. "The demand function...

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Aggregate demand

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textbooks, "aggregate demand" refers to an entire demand curve that looks like that in a typical Marshallian supply and demand diagram. Thus, we could...

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Glossary of economics

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sellers come together to trade money for a good or service. Marshallian demand function Marxian economics Master's Degree A postgraduate academic degree...

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Engel curve

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to purchase better goods. For goods with a Marshallian demand function generated from a utility function of Gorman polar form, the Engel curve is linear...

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Supply and demand

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Disquisition on Demand Side Economics (William Vickrey) Marshallian Cross Diagrams and Their Uses before Alfred Marshall: The Origins of Supply and Demand Geometry...

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Competitive equilibrium

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convex preferences, the Marshallian demand function is continuous. Hence, z {\displaystyle z} is also a continuous function of p {\displaystyle p} ....

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Utility maximization problem

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called the Marshallian demand function. Otherwise, x ( p , I ) {\displaystyle x(p,I)} is set-valued and it is called the Marshallian demand correspondence...

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Indirect utility function

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{\displaystyle u(x_{1},x_{2})=x_{1}^{0.6}x_{2}^{0.4},} which has the Marshallian demand functions x 1 ( p 1 , p 2 ) = 0.6 w p 1 a n d x 2 ( p 1 , p 2 ) = 0.4 w...

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Leontief utilities

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t={\text{Income}}/(p_{1}w_{1}+\dots +p_{m}w_{m})} . Since the Marshallian demand function of every good is increasing in income, all goods are normal goods...

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Gorman polar form

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m)=v_{i}(p)+m} which is a special case of the Gorman form. Indeed, the Marshallian demand function for the nonlinear good of consumers with quasilinear utilities...

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Slutsky equation

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after Eugen Slutsky, relates changes in Marshallian (uncompensated) demand to changes in Hicksian (compensated) demand, which is known as such since it compensates...

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Quasilinear utility

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: 164  A useful property of the quasilinear utility function is that the Marshallian/Walrasian demand for x 2 , … , x n {\displaystyle x_{2},\ldots ,x_{n}}...

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Deadweight loss

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the economy. The Hicksian (per John Hicks) and the Marshallian (per Alfred Marshall) demand function differ about deadweight loss. After the consumer surplus...

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Price elasticity of demand

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great. In the latter case... the elasticity of his demand is small." Mathematically, the Marshallian PED was based on a point-price definition, using differential...

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Alfred Marshall

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Marshall, and indeed, the two are sometimes described eponymously as 'Marshallian surplus.' He used this idea of surplus to rigorously analyse the effect...

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Economic surplus

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economic surplus, also known as total welfare or total social welfare or Marshallian surplus (after Alfred Marshall), is either of two related quantities:...

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Local nonsatiation

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the relationship between the Hicksian and Marshallian demands. Also shows the response of Marshallian demand to price changes. Preferences are supposed...

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Maximum theorem

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is the indirect utility function and C ∗ ( θ ) = x ( p , w ) {\displaystyle C^{*}(\theta )=x(p,w)} is the Marshallian demand. Proofs in general equilibrium...

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