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Complex Dynamical Behaviors of a Mixed Duopoly Game Based on Intellectual Property Rights Protection

Author

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  • Tong Chu
  • Yu Yu
  • Xiaoxue Wang

Abstract

Based on the oligopoly game theory and the intellectual property rights protection policy, we investigate the complex dynamical behaviors of a mixed duopoly game with quadratic cost. In the new system, a few parameters are improved by considering intellectual property rights protection and the stability conditions of the Nash equilibrium point are discussed in detail. A set of the two-dimensional bifurcation diagrams is demonstrated by using numerical modeling, and these diagrams show abundant complex dynamical behaviors, such as coexistence of attractors, different bifurcation, and fractal structures. These dynamical properties can present the long-run effects of strengthening intellectual property protection.

Suggested Citation

  • Tong Chu & Yu Yu & Xiaoxue Wang, 2020. "Complex Dynamical Behaviors of a Mixed Duopoly Game Based on Intellectual Property Rights Protection," Complexity, Hindawi, vol. 2020, pages 1-11, August.
    • Handle: RePEc:hin:complx:4601510
    DOI: 10.1155/2020/4601510
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    Cited by:

    1. Siying Yang & Fengshuo Liu & Gege Wang & Dawei Feng, 2024. "Intellectual property system and urban green innovation: Evidence from China," Growth and Change, Wiley Blackwell, vol. 55(1), March.
    2. Li, Hui & Zhou, Wei & Elsadany, A. A & Chu, Tong, 2021. "Stability, multi-stability and instability in Cournot duopoly game with knowledge spillover effects and relative profit maximization," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

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