Geodesic
Notes on matematical economics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 3, pp. 1-19

Voir la notice de l'article provenant de la source Math-Net.Ru

These notes are based on individual lectures of a course on mathematical economics given by the author in the autumn of 1971 in the Faculty of Mathematics and Mechanics of Moscow State University. § 1 describes the properties of neoclassical production functions and types of technological progress, Ramsey's model (distribution of income between consumption and accumulation), and on the basis of a simple example it is shown how Pontryagin's maximum principle is used to find an optimum plan. The exposition is based essentially on the material of [40]. In § 2, following Debreu, the author considers models of pure exchange (without production) and explains the structure of sets of equilibrium states in them; in this analysis, considerable use is made of Sard's lemma on regular values of smooth mappings, and simple considerations on the indices of vector fields. These notes pursue limited methodical aims; they are intended for mathematicians and economists who show a reserved optimism about the use of mathematical methods in economics. 
@article{RM_1972_27_3_a0,
     author = {B. S. Mityagin},
     title = {Notes on matematical economics},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {1--19},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1972_27_3_a0/}
}
TY  - JOUR
AU  - B. S. Mityagin
TI  - Notes on matematical economics
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1972
SP  - 1
EP  - 19
VL  - 27
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_1972_27_3_a0/
LA  - en
ID  - RM_1972_27_3_a0
ER  - 
%0 Journal Article
%A B. S. Mityagin
%T Notes on matematical economics
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1972
%P 1-19
%V 27
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_1972_27_3_a0/
%G en
%F RM_1972_27_3_a0
B. S. Mityagin. Notes on matematical economics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 3, pp. 1-19. http://geodesic.mathdoc.fr/item/RM_1972_27_3_a0/