On homogeneous production functions with proportional marginal rate of substitution

DOI10.1016/j.crma.2015.09.019zbMath1299.91090arXiv1405.5190OpenAlexW1888277162MaRDI QIDQ474038

Gabriel Eduard Vîlcu, Alina Daniela Vîlcu

Publication date: 24 November 2014

Published in: Mathematical Problems in Engineering, Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5190

Mathematics Subject Classification ID

Production models (90B30) Production theory, theory of the firm (91B38)

Related Items (11)

Geometric classifications of homogeneous production functions ⋮ 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 ⋮ 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 ⋮ Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics ⋮ Geometric characterizations of quasi-product production models in economics ⋮ Some characterizations of the Cobb-Douglas and CES production functions in microeconomics

Cites Work

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• 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
• Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation
• Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics
• Some characterizations of the Cobb-Douglas and CES production functions in microeconomics
• Classification of homothetical hypersurfaces and its applications to production functions in economics
• Classification of quasi-sum production functions with Allen determinants

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