پویایی یک بازی انحصار دوگانه فروش تاخیری با افزایش هزینه های نهایی و محدود استراتژی عقلانیت

This paper constructs a duopoly game model and investigates its stability with bounded rationality strategy and state delay. Numerical experiments are also carried out to exhibit its dynamical features such as bifurcation diagram, maximal Lyapunov exponent curve, strange attractor and so on. The results show that state delay can enlarge the local stability region of Nash equilibrium point and delay the outputs bifurcation. The faster adjustment speed will induce more complex dynamical response of outputs such as cycles and chaos.