A survey on the geometry of production models in economics

Arab Journal of Mathematical Sciences

卷:23

Alina-Daniela Vîlcu¹  Gabriel-Eduard Vîlcu² 

[1] Petroleum-Gas University of Ploieşti, Department of Computer Science, Information Technology, Mathematics and Physics, Bd. Bucureşti, Nr. 39, Ploieşti 100680, Romania;

[2] University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, Str. Academiei, Nr. 14, Sector 1, Bucureşti 70109, Romania;

关键词: 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;   

DOI  :  10.1016/j.ajmsc.2016.08.003

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown