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Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market

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  • Liming Zhao
  • Xiaofeng Liu
  • Ning Ji

Abstract

This work considered a tripartite cooperation-competition game model for the convergence product market, whose products are compounds of two base products or services. An early convergence product firm monopoly in this market and two potential entrants from the base products decide to cooperate with another to compete with the monopolist. We analyzed factors that affect existence and local stability of the Nash equilibrium. Rich nonlinear dynamic behaviors like bifurcation, chaos, and attractors are presented to explain the complex relationships between the three players. Results showed that the pulling effect on profit for the united R&D activity can significantly enlarge the stable region. Too frequently adjusted price strategy will bring the system into chaos. A parameter feedback control method is given to control the chaotic system and we numerically verified its effectiveness. This study has significant values to understand the fluctuations in related convergence product market.

Suggested Citation

  • Liming Zhao & Xiaofeng Liu & Ning Ji, 2017. "Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:5292494
    DOI: 10.1155/2017/5292494
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    Cited by:

    1. Zhao Li & Tie Xia & Wanzhi Shen & Sheng Chen, 2022. "Research on Co-Opetition Mechanism between Pharmaceutical Enterprises and Third-Party Logistics in Drug Distribution of Medical Community," IJERPH, MDPI, vol. 20(1), pages 1-19, December.

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