IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v648y2024ics037843712400459x.html
   My bibliography  Save this article

Coalescence model of rock-paper-scissors particles

Author

Listed:
  • Itoh, Yoshiaki

Abstract

The rock–paper–scissors game, commonly played in East Asia, gives a simple model to understand physical, biological, psychological, and other problems. The interacting rock–paper–scissors particle system connects two models: the collision model (Maxwell and Boltzmann’s kinetic theory of gas) and the coalescence model (Smoluchowski’s coagulation theory). A 2s+1 type rock–paper–scissors collision model naturally introduces a nonlinear integrable Lotka–Volterra system. The time evolution of the coalescence model is obtained from the logarithmic time change of the collision model. We also discuss the behavior of a discrete rock–paper–scissors coalescence model.

Suggested Citation

  • Itoh, Yoshiaki, 2024. "Coalescence model of rock-paper-scissors particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    • Handle: RePEc:eee:phsmap:v:648:y:2024:i:c:s037843712400459x
    DOI: 10.1016/j.physa.2024.129950
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712400459X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2024.129950?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Benjamin Kerr & Margaret A. Riley & Marcus W. Feldman & Brendan J. M. Bohannan, 2002. "Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors," Nature, Nature, vol. 418(6894), pages 171-174, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Menezes, J. & Moura, B., 2022. "Pattern formation and coarsening dynamics in apparent competition models," Chaos, Solitons & Fractals, Elsevier, vol. 157(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. 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).
    4. Menezes, J. & Barbalho, R., 2023. "How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    6. Dai, Hui & Wang, Xiaoyue & Lu, Yikang & Hou, Yunxiang & Shi, Lei, 2024. "The effect of intraspecific cooperation in a three-species cyclic predator-prey model," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    7. Mohd, Mohd Hafiz & Park, Junpyo, 2021. "The interplay of rock-paper-scissors competition and environments mediates species coexistence and intriguing dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    8. Zhong, Linwu & Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Species coexistence in spatial cyclic game of five species," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    9. Park, Junpyo & Chen, Xiaojie & Szolnoki, Attila, 2023. "Competition of alliances in a cyclically dominant eight-species population," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    10. AlAdwani, Mohammad & Saavedra, Serguei, 2022. "Feasibility conditions of ecological models: Unfolding links between model parameters," Ecological Modelling, Elsevier, vol. 466(C).
    11. Zhang, Jing & Li, Zhao & Zhang, Jiqiang & Ma, Lin & Zheng, Guozhong & Chen, Li, 2023. "Emergence of oscillatory cooperation in a population with incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    12. Shuvo, Md. Fahimur Rahman & Kabir, K.M. Ariful, 2024. "Exploring cyclic dominance in rock-paper-scissor strategies within the Optional Prisoner's Dilemma: A quantitative analysis with environmental feedback," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    13. Ledru, Léo & Garnier, Jimmy & Gallet, Christiane & Noûs, Camille & Ibanez, Sébastien, 2022. "Spatial structure of natural boxwood and the invasive box tree moth can promote coexistence," Ecological Modelling, Elsevier, vol. 465(C).
    14. Chaoqian Wang & Matjaž Perc & Attila Szolnoki, 2024. "Evolutionary dynamics of any multiplayer game on regular graphs," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    15. Mendes, Pedro B. & Boeger, Walter A., 2022. "Game dynamics as a driver for pathogen spillover pulses," Ecological Modelling, Elsevier, vol. 473(C).
    16. Kayacan, O. & Middendorf, M., 2021. "Population dynamics for systems with cyclic predator–prey relations and pheromone dependent movement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    17. Avelino, P.P. & de Oliveira, B.F. & Trintin, R.S., 2022. "Parity effects in rock-paper-scissors type models with a number of species NS≤12," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    18. Huang, Wenting & Duan, Xiaofang & Qin, Lijuan & Park, Junpyo, 2023. "Fitness-based mobility enhances the maintenance of biodiversity in the spatial system of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    19. Tenorio, M. & Rangel, E. & Menezes, J., 2022. "Adaptive movement strategy in rock-paper-scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    20. Stiadle, Thomas I. & Bayliss, Alvin & Volpert, Vladimir A., 2023. "Cyclic Ecological Systems with an Exceptional Species," Applied Mathematics and Computation, Elsevier, vol. 443(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:648:y:2024:i:c:s037843712400459x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.