An economic system which exhibits chaotic behaviour has been stabilize
d on various periodic orbits by use of the Ott-Grebogi-Yorke method. T
his procedure has been recently applied to controlling chaotic phenome
na in physical, chemical and biological systems. We adopt this method
successfully for Feichtinger's generic model of two competing firms wi
th asymmetrical investment strategies. We show that the application of
this control method to the particular economic process considered bri
ngs a substantial advantage: one can easily switch from a chaotic traj
ectory to a regular periodic orbit and simultaneously improve the syst
em's economic properties. Numerical simulations are presented in order
to illustrate the effectiveness of the whole procedure.