Study on dynamical properties and simulation of a four-dimensional nonlinear discrete dynamics

Peng, Jing; Ze-hua, Miao; Zheng, Luoping

doi:10.1109/ieem.2011.6117987

2011 IEEE International Conference on Industrial Engineering and Engineering Management 2011

DOI: 10.1109/ieem.2011.6117987

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Study on dynamical properties and simulation of a four-dimensional nonlinear discrete dynamics

Jing Peng

Miao Ze-hua

Luoping Zheng

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2020

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The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game

Askar

2020

Mathematics

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We investigate the complex dynamic characteristics of a duopoly game whose players adopt a gradient-based mechanism to update their outputs and one of them possesses in some way certain information about his/her opponent. We show that knowing such asymmetric information does not give any advantages but affects the stability of the game’s equilibrium points. Theoretically, we prove that the equilibrium points can be destabilized through Neimark-Sacker followed by flip bifurcation. Numerically, we prove that the map describing the game is noninvertible and gives rise to several stable attractors (multistability). Furthermore, the dynamics of the map give different shapes of quite complicated attraction basins of periodic cycles.

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The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game

Askar

2020

Mathematics

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Study on dynamical properties and simulation of a four-dimensional nonlinear discrete dynamics

Cited by 1 publication

References 18 publications

The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game

The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game

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