A survey on the geometry of production models in economics

Abstract

In this article we survey selected recent results on the geometry of production models, focussing on the main production functions that are usually analyzed in economics, namely homogeneous, homothetic, quasi-sum and quasi-product production functions.

Keywords

• Homogeneous production function
• Homothetic production function
• Quasi-sum production function
• Quasi-product production function
• Production hypersurface
• Gauss–Kronecker curvature
• Mean curvature
• Flat space
• Marginal rate of substitution
• Constant elasticity of substitution
• Return to scale