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Zbl 1153.91661
Sheng, Zhao-Han; Huang, Tingwen; Du, Jian-Guo; Mei, Qiang; Huang, Hui
Study on self-adaptive proportional control method for a class of output models. (English)
[J] Discrete Contin. Dyn. Syst., Ser. B 11, No. 2, 459-477 (2009). ISSN 1531-3492; ISSN 1553-524X/e

Summary: In this paper, self-adaptive proportional control method in economic chaotic system is discussed. It is not necessarily required for the fixed point having stable manifold in the method we used. One can stabilize chaos via time-dependent adjustments of control parameters; also can suppress chaos by adjusting external control signals. Two kinds of chaos about the output systems in duopoly are stabilized in a neighborhood of an unstable fixed point by using the chaos controlling method. The results show that performances of the system are improved by controlling chaos. Furthermore, their applications in practice are presented. The results also show that players can control chaos by adjusting their planned output or variable cost per unit according to the sign of marginal profit.

MSC 2000:: *91B62 Dynamic economic models etc.
91A05 2-person games
93D99 Stability of control systems

Keywords: duopoly games; chaos control; self-adaptive proportional control method; performance measure

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Zentralblatt MATH Berlin [Germany]