Constant Elasticity Of Substitution Utility Function

Elasticity of substitutionis the elasticity of the ratio of two inputs to a production or utility function with respect to the ratio of their marginal products or utilities. How easy it is to substitute one input or good for the other.

Constant Elasticity Of Substitution Docsity

It measures the curvature of an isoquant and thus the substitutability between inputs or goods i e.

Constant elasticity of substitution utility function. The constant elasticity of substitution production function or ces implies that any change in the input factors results in the constant change in the output. The two level nested nonseparable constant elasticity of substitution nnces cost function is then defined as. This aggregator function exhibits constant elasticity of substitution.

Specifically it arises in a particular type of aggregator function which combines two or more types of consumption goods or two or more types of production inputs into an aggregate quantity. In ces the elasticity of substitution is constant and may not necessarily be equal to one or unity. Constant elasticity of substitution in economics is a property of some production functions and utility functions.

The elasticity of substitution is most often discussed in the context of production functions but is also very useful for describing util ity functions. U x y αxρ 1 α yρ 1 ρ it is a tedious but straight forward application of lagrangian calculus to demonstrate. Rutherford university of colorado november 2002 1 ces utility in many economic textbooks the constant elasticity of substitution ces utility function is defined as.

Therefore it is a measure of how easily the two goods are substitutable along an indi erence curve. Demand indices for second level aggregates are needed to express demand functions in a compact form. 1 2 1 constant elasticity of substitution elasticity of substitution for a utility function is de ned as the elasticity of the ratio of consumption of two goods to the mrs.

Total output yis given by a concave twice dierentiable function y f x 1 x. In terms of mathematics it is de ned as s d x 2 x 1 dmrs mrs x 2 x 1 3. A rm uses two inputs aka factors of production to produce a single output.

Let denote the demand index for aggregate normalized to unity in the benchmark. Lecture notes on constant elasticity functions thomas f.

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