Competition and control in a chaotic microeconomical model

摘要

the problem of control of chaos in a microeconomical model describing two firms acting on the same market and having asymmetric investment strategies is studied. The case when both firms simulataneously try to perform control of the market by the Ott-Grebogi-Yorke method is studied. Analytic calculations and numerical simulations shown that such a competition in control can destroy the expected stabilization effect. An analytic sondition for the control stability is found.