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Complex Dynamics of an Adnascent-Type Game Model

Author

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  • Baogui Xin
  • Junhai Ma
  • Qin Gao

Abstract

The paper presents a nonlinear discrete game model for two oligopolistic firms whose products are adnascent. (In biology, the term adnascent has only one sense, “growing to or on something else,†e.g., “moss is an adnascent plant.†See Webster's Revised Unabridged Dictionary published in 1913 by C. & G. Merriam Co., edited by Noah Porter.) The bifurcation of its Nash equilibrium is analyzed with Schwarzian derivative and normal form theory. Its complex dynamics is demonstrated by means of the largest Lyapunov exponents, fractal dimensions, bifurcation diagrams, and phase portraits. At last, bifurcation and chaos anticontrol of this system are studied.

Suggested Citation

  • Baogui Xin & Junhai Ma & Qin Gao, 2008. "Complex Dynamics of an Adnascent-Type Game Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-12, March.
    • Handle: RePEc:hin:jnddns:467972
    DOI: 10.1155/2008/467972
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    Cited by:

    1. Xin, Baogui & Peng, Wei & Kwon, Yekyung, 2020. "A discrete fractional-order Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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