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A golden point rule in rock–paper–scissors–lizard–spock game

Author

Listed:
  • Kang, Yibin
  • Pan, Qiuhui
  • Wang, Xueting
  • He, Mingfeng

Abstract

We study a novel five-species system on two-dimensional lattices when each species have two superior and two inferior partners. Here we simplify the huge parameter space of predation probability to only two parameters. Both of Monte Carlo simulation and Mean Field Theory reveal that two of strategies may die out when the ratio of the two parameters is close to the golden point 0.618, and the remaining three strategies are provided a cyclic dominance system.

Suggested Citation

  • Kang, Yibin & Pan, Qiuhui & Wang, Xueting & He, Mingfeng, 2013. "A golden point rule in rock–paper–scissors–lizard–spock game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2652-2659.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:11:p:2652-2659
    DOI: 10.1016/j.physa.2012.10.011
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    Citations

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    Cited by:

    1. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Yang, Ryoo Kyung & Park, Junpyo, 2023. "Evolutionary dynamics in the cyclic competition system of seven species: Common cascading dynamics in biodiversity," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Park, Junpyo & Jang, Bongsoo, 2023. "Role of adaptive intraspecific competition on collective behavior in the rock–paper–scissors game," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Bazeia, D. & Bongestab, M. & de Oliveira, B.F. & Szolnoki, A., 2021. "Effects of a pestilent species on the stability of cyclically dominant species," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    5. Park, Junpyo, 2018. "Balancedness among competitions for biodiversity in the cyclic structured three species system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 425-436.

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