CES utility function

GPTKB entity

Statements (33)
Predicate Object
gptkbp:instanceOf public utility
gptkbp:application modeling consumer preferences
modeling production functions
gptkbp:characterizedBy constant elasticity of substitution between inputs
gptkbp:domain positive real numbers
gptkbp:form U = [aX^ρ + (1-a)Y^ρ]^{1/ρ}
gptkbp:fullName Constant Elasticity of Substitution utility function
gptkbp:generalizes Cobb-Douglas utility function
Leontief utility function
linear utility function
gptkbp:hasSpecialCase public utility
https://www.w3.org/2000/01/rdf-schema#label CES utility function
gptkbp:introduced gptkb:Kenneth_Arrow
gptkb:Leonid_Hurwicz
gptkb:Hirofumi_Uzawa
gptkbp:introducedIn 1961
gptkbp:limitation Cobb-Douglas utility function (when ρ→0)
Leontief utility function (when ρ→-∞)
linear utility function (when ρ→1)
gptkbp:parameter σ
a
ρ
gptkbp:property homothetic
invariant to monotonic transformations
gptkbp:relatedTo gptkb:CES_production_function
gptkbp:signature elasticity of substitution
gptkbp:usedIn economics
microeconomics
production theory
consumer theory
gptkbp:ρ substitution parameter
gptkbp:bfsParent gptkb:Melitz_model
gptkbp:bfsLayer 7