On some geometric properties of quasi-product production models

被引：11

作者：

Alodan, Haila ^{[1
]}

Chen, Bang-Yen ^{[2
]}

Deshmukh, Sharief ^{[1
]}

Vilcu, Gabriel-Eduard ^{[3
,4
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh 11495, Saudi Arabia

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[3] Univ Bucharest, Fac Math & Comp Sci, Res Ctr Geometry Topol & Algebra, Str Acad 14,Sect 1, Bucharest 70109, Romania

[4] Petr Gas Univ Ploiesti, Dept Math Modelling Econ Anal & Stat, Bd Bucuresti 39, Ploiesti 100680, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 474卷 / 01期

关键词：

Quasi-product production function; Constant return to scale; Marginal rate of substitution; Constant elasticity of substitution; Production hypersurface; Gauss-Kronecker curvature; PRODUCTION POSSIBILITY FRONTIER; CONSTANT ELASTICITY; HOMOTHETIC FUNCTIONS; COMPOSITE FUNCTIONS; CLASSIFICATION; HYPERSURFACES; SUBSTITUTION; DETERMINANTS;

D O I：

10.1016/j.jmaa.2019.01.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting some recent results concerning basic production models. In particular, we obtain several results on the geometry of Spillman-Mitscherlich and transcendental production functions. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：693 / 711

页数：19

共 33 条

[1] A NOTE ON THE PRODUCTION POSSIBILITY FRONTIER WITH PURE PUBLIC INTERMEDIATE GOODS [J].

ABE, K ;

OKAMOTO, H ;

TAWADA, M .

CANADIAN JOURNAL OF ECONOMICS-REVUE CANADIENNE D ECONOMIQUE, 1986, 19 (02) :351-356

[2] Solution of the rectangular mxn generalized bisymmetry equation and of the problem of consistent aggregation [J].

Aczel, J ;

Maksa, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 203 (01) :104-126

[3]

[Anonymous], 2012, J. Adv. Math. Stud.

[4]

[Anonymous], 1932, THEORY OF WAGES

[5]

[Anonymous], 1928, American Economic Review, Vol

[6] HESSIAN DETERMINANTS OF COMPOSITE FUNCTIONS WITH APPLICATIONS FOR PRODUCTION FUNCTIONS IN ECONOMICS [J].

Aydin, M. E. ;

Ergut, M. .

KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (02) :259-268

[7] COMPOSITE FUNCTIONS WITH ALLEN DETERMINANTS AND THEIR APPLICATIONS TO PRODUCTION MODELS IN ECONOMICS [J].

Aydin, M. Evren ;

Ergut, Mahmut .

TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (04) :427-435

[8] Classification of Quasi-Sum Production Functions with Allen Determinants [J].

Aydin, Muhittin Evren ;

Mihai, Adela .

FILOMAT, 2015, 29 (06) :1351-1359

[9]

Chen B.Y., 2011, Pseudo-Riemannian Geometry, -invariants and Applications

[10]

Chen B.-Y., 1973, Geometry of slant submanifolds

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