Dresden 2006 – wissenschaftliches Programm
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)
AKSOE 10.31: Poster
Mittwoch, 29. März 2006, 16:00–18:00, P2
Stabilization of chaotic dynamic in micro-economical model of competing firms — •Maria Davidich1 and Aleksandr Loskutov2 — 1davidich@itp.uni-bremen.de — 2loskutov@polly.phys.msu.ru
We propose a method, which allows to realize the stabilization of chaotic dynamic in a simple micro-economical model of competing firms. Our model consists of two firms competing on the same market of goods. The firms perform active and asymmetric investment strategies, i.e. their temporary investments depend on their relative positions on the market. Under certain parameter values the given model exhibits the properties of dynamical chaos that consists of continuous power spectrum and positiveness of Lyapunov exponents.
We show that by means of weak external direct parametric excitations it is possible to suppress chaos and stabilize the prescribed periodical orbits. As control parameters we choose such values that describe the investment values of both firms. With economical point of view this means, that we may realize a quite simple control and present a way of increasing profit.