On the minimality of quasi‐sum production models in microeconomics

DOI10.1002/mma.8265zbMath1530.91260OpenAlexW4220982553MaRDI QIDQ6087617

Unnamed Author, Yu Fu, Xiaoshu Wang

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8265

zbMATH Keywords

minimal surfacesproduction functionsproduction hypersurfaces

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

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
• 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
• Solution of the system of nonlinear PDEs characterizing ces property under quasi-homogeneity conditions
• Some characterizations of the Cobb-Douglas and CES production functions in microeconomics
• On some geometric properties of quasi-product production models
• Geometry of quasi-sum production functions with constant elasticity of substitution property
• Geometric characterizations of quasi-product production models in economics
• A geometric characterization of homogeneous production models in economics

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