51. Chaotic Dynamics in Asymmetric Rock-Paper-Scissors Games
- Author
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Wenjun Hu, Gang Zhang, Haiyan Tian, and Zhiwei Wang
- Subjects
Evolutionary game ,imitative dynamics ,chaos ,rock-paper-scissors ,Electrical engineering. Electronics. Nuclear engineering ,TK1-9971 - Abstract
Evolutionary game dynamics is a combination of game theory and dynamical systems. Using dynamical theory, we investigate chaotic behavior in asymmetric Rock-Paper-Scissors games under imitative dynamics with two different populations. Our theoretical analysis and numerical simulations demonstrate that the dynamical system can give rise to chaotic behavior in zero-sum and positive-sum asymmetric games. However, chaos cannot occur in a negative-sum asymmetric game. In particular, the numerical simulations show that there is a limit cycle in a negative-sum asymmetric game.
- Published
- 2019
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