In this paper, a duopoly Stackelberg game of output competition is built. The two players adopt different strategies, i.e. with the bounded rationality and with the adaptable expectation, respectively. For the duopoly Stackelberg model, a nonlinear dynamical system is used to analyze the time evolution and Nash equilibrium point are used to study its stability. Numerical simulations show a series of chaotic behaviors. The results demonstrate that a proper delay coefficient enlarges the stable region.

Stackelberg game  /  delayed strategies  /  bifurcation  /  chaos