Investment limit cycles in a socialist economy
β Scribed by A. Simonovits
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 893 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1573-9414
No coin nor oath required. For personal study only.
β¦ Synopsis
The present paper generalizes a linear cycle model of the socialist economy studied in Simonovits (1990): the two equations describing the reproduction of the tensions are retained, while the two linear reaction equations are confined to the interval of lower and upper bounds; outside these intervals the decisions are given by the corresponding bounds (cf. Hicks, 1950).
The main result is the following: If a certain linear system of equations and inequalities has a solution, then there exists a limit cycle with period 4, the amplitude of which is independent of the initial states.
π SIMILAR VOLUMES
The problem of limit cycles is interesting and significant both in theory and applications. In mathematical ecology, finding models that display a stable limit cycle-an attracting stable self-sustained oscillation, is a primary work. In this paper, a general Kolmogorov system, which includes the Ga