Geometric classifications of homogeneous production functions

DOI10.1016/j.amc.2013.09.052zbMath1334.91043arXiv1309.3691OpenAlexW2145612186MaRDI QIDQ275749

Gabriel Eduard Vîlcu, Bang-Yen Chen

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3691

zbMATH Keywords

production functiondevelopable surfacereturn to scaleGauss-Kronecker curvatureflat hypersurfaceproduction hypersurface

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38)

Related Items

Classification of graph surfaces induced by weighted-homogeneous functions exhibiting vanishing Gaussian curvature ⋮ Solution of the system of nonlinear PDEs characterizing ces property under quasi-homogeneity conditions ⋮ 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 ⋮ A survey on the geometry of production models in economics ⋮ Affine factorable surfaces in isotropic spaces ⋮ Non-zero constant curvature factorable surfaces in pseudo-Galilean space ⋮ Geometric characterizations of quasi-product production models in economics ⋮ Reflections on some research work of Bang-Yen Chen ⋮ Some characterizations of the Cobb-Douglas and CES production functions in microeconomics

Cites Work

• 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
• The explicit general solution of trivial Monge-Ampère equation
• On the Hessian of a function and the curvature of its graph
• Surfaces of Gaussian curvature zero in Euclidean 3-space
• On Frenet's Equations
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• On the Shape of the Production Possibility Frontier with More Commodities than Primary Factors
• Geometry of quasi-sum production functions with constant elasticity of substitution property
• A Theorem on Homogeneous Functions
• Developable surfaces in the large
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