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Study on chaotic dynamics of a duopoly Stackelberg game with delayed strategies |
XIAO Yue, WU Xue, PENG Yu |
School of Science, Southwest University of Science and Technology, Mianyang 621010, China |
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Abstract: 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.
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Received: 30 October 2017
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