Mathematical economic theory. Pure and mixed types of economic mechanisms. (English) Zbl 0834.90001

Makarov, V. L.; Rubinov, A. M.; Levin, M. J.

Advanced Textbooks in Economics. 33. Amsterdam: North-Holland. xx, 610 p. (1995).

The book gives an introduction to conventional fields of mathematical economy on the basis of systems of economic units. It is helpful to those who have just begun their studies of mathematical economy (undergraduate and postgraduate students) as well as to practicians who want to gain a different view of the economic issues they face.
The authors analyze the various economic mechanisms in both static and dynamic functioning of the system – every mechanism is first described in detail and then the behaviour of a system with this mechanism is analyzed for feasibility of the equilibrium and its efficiency.
Part I investigates static models of economic interaction, in particular consumption models, exchange models, production models and closed models of economic systems.
Part II focuses on the dynamic interaction of the units that is represented in von Neumann-type economic dynamics models and superlinear multivalued mappings, exchange mappings, in particular. The contents includes efficient paths, efficient functions, equilibrium mechanisms of path design, dynamic equilibrium with flexible prices and the asymptotic behaviour of paths.

Reviewer: E.Ederle (München)

MSC:

90-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
91B50	General equilibrium theory
91B60	Trade models
91B62	Economic growth models

Keywords:

systems of economic units; von Neumann-type economic dynamics; superlinear multivalued mappings; sufficient paths; efficient functions; equilibrium mechanisms