Some characterizations of the Cobb-Douglas and CES production functions in microeconomics

DOI10.1155/2013/761832zbMath1420.91175OpenAlexW2082920915WikidataQ58917398 ScholiaQ58917398MaRDI QIDQ2319090

Xiaoshu Wang, Yu Fu

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/761832

zbMATH Keywords

hypersurfacesCES production functionsCobb-Douglas production functions

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Global differential geometry (53C99) Special types of economic markets (including Cournot, Bertrand) (91B54)

Related Items (10)

Classification of graph surfaces induced by weighted-homogeneous functions exhibiting vanishing Gaussian curvature ⋮ Unnamed Item ⋮ A certain class of surfaces on product time scales with interpretations from economics ⋮ On some geometric properties of quasi-product production models ⋮ Some extrinsic geometric characterizations of quasi-product production functions in microeconomics ⋮ On the minimality of quasi‐sum production models in microeconomics ⋮ On homogeneous production functions with proportional marginal rate of substitution ⋮ A survey on the geometry of production models in economics ⋮ Geometric characterizations of quasi-product production models in economics ⋮ Ruled surfaces generated by elliptic cylindrical curves in the isotropic space

Cites Work

• Geometric classifications of homogeneous production functions
• On some geometric properties of quasi-sum production models
• On homogeneous production functions with proportional marginal rate of substitution
• A geometric perspective on the generalized Cobb-Douglas production functions
• On some geometric properties of the generalized CES production functions
• Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics
• Geometry of quasi-sum production functions with constant elasticity of substitution property
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