no. 12
Differential geometry/Mathematical economics
Some characterizations of the quasi-sum production models with proportional marginal rate of substitution
[Certaines caractérisations des modèles de production quasi-somme avec un taux marginal de substitution proportionnelle]

Présenté par : the Editorial Board

Vîlcu, Alina Daniela1 ; Vîlcu, Gabriel Eduard1, 2
1 Petroleum-Gas University of Ploieşti, Bd. Bucureşti 39, Ploieşti 100680, Romania
2 University of Bucharest, Faculty of Mathematics and Computer Science, Str. Academiei 14, Bucharest 70109, Romania
Comptes Rendus. Mathématique, Tome 353 (2015) no. 12, pp. 1129-1133.

Dans cette note, nous classons les fonctions de production quasi-somme avec élasticité constante de la production par rapport à un facteur de production et avec un taux marginal de substitution proportionnel.

In this note we classify quasi-sum production functions with constant elasticity of production with respect to any factor of production and with proportional marginal rate of substitution.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.09.019
Vîlcu, Alina Daniela 1 ; Vîlcu, Gabriel Eduard 1, 2

1 Petroleum-Gas University of Ploieşti, Bd. Bucureşti 39, Ploieşti 100680, Romania
2 University of Bucharest, Faculty of Mathematics and Computer Science, Str. Academiei 14, Bucharest 70109, Romania 
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Vîlcu, Alina Daniela; Vîlcu, Gabriel Eduard. Some characterizations of the quasi-sum production models with proportional marginal rate of substitution. Comptes Rendus. Mathématique, Tome 353 (2015) no. 12, pp. 1129-1133. doi : 10.1016/j.crma.2015.09.019. http://www.numdam.org/articles/10.1016/j.crma.2015.09.019/

[1] Aczél, J.; Maksa, G. Solution of the rectangular m×n generalized bisymmetry equation and of the problem of consistent aggregation, J. Math. Anal. Appl., Volume 203 (1996), pp. 104-126

[2] Aydin, M.E.; Ergüt, M. A classification of homothetical hypersurfaces in Euclidean spaces via Allen determinants and its applications, Appl. Sci., Volume 17 (2015), pp. 1-8

[3] Aydin, M.E.; Mihai, A. Classification of quasi-sum production functions with Allen determinants, Filomat, Volume 29 (2015) no. 6, pp. 1351-1359

[4] Chen, B.-Y. Pseudo-Riemannian Geometry, δ-Invariants and Applications, World Scientific, Hackensack, NJ, USA, 2011

[5] Chen, B.-Y. On some geometric properties of quasi-sum production models, J. Math. Anal. Appl., Volume 392 (2012) no. 2, pp. 192-199

[6] Chen, B.-Y. An explicit formula of Hessian determinants of composite functions and its applications, Kragujev. J. Math., Volume 36 (2012), pp. 1-14

[7] Chen, B.-Y. Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics, J. Math. Anal. Appl., Volume 411 (2014), pp. 223-229

[8] Fu, Y.; Wang, W.G. Geometric characterizations of quasi-product production models in economics, Filomat (2015) (to be published)

[9] Vîlcu, A.D.; Vîlcu, G.E. On some geometric properties of the generalized CES production functions, Appl. Math. Comput., Volume 218 (2011) no. 1, pp. 124-129

[10] Vîlcu, A.D.; Vîlcu, G.E. On homogeneous production functions with proportional marginal rate of substitution, Math. Probl. Eng., Volume 2013 (2013)

[11] Vîlcu, G.E. A geometric perspective on the generalized Cobb–Douglas production functions, Appl. Math. Lett., Volume 24 (2011) no. 5, pp. 777-783

[12] Wang, X.; Fu, Y. Some characterizations of the Cobb–Douglas and CES production functions in microeconomics, Abstr. Appl. Anal., Volume 2013 (2013)

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