Abstract
The simplest non-trivial example of cyclical interaction is children’s rock-paper-scissors games. Although they seem simple, they describe the fascinating evolution of species. The rock-paper-scissors (RPS) system is a three-state game theory model that describes the evolution of three cyclically dominated species. In this article, the author considers expanding the number of species on the basis of the May-Leonard standard cyclic RPS model. According to the parity of the total number of species, it is divided into RPSO (RPS Odd) model and RPSE (RPS Even) model. Based on the model above, the author shows the importance of mobility to the balance of multi-species competition and coexistence through the macroscopic lattice experiment and the microscopic dynamic mathematical model, considering the interactions at the mesoscopic scale additionally, which also plays a significant role in coexistence of species in nature. The result of the author’s research will play a significant role in the process of searching analytical solutions to numerous other social dilemma games, such as Battle of the Sexes, Stag Hunt or Explore COVID-19 Infection Dynamics, etc.
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Acknowledgements
The work is supported by The 24th batch of extracurricular academic research fund projects of Soochow University. The authors would like to thank the reviewers for their constructive comments.
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Lu, X., Xu, Y., Yu, L. (2022). Multi-species Generalized Rock-Paper-Scissors Model Based on Cyclic Dominant Mechanism. In: Jia, Y., Zhang, W., Fu, Y., Zhao, S. (eds) Proceedings of 2022 Chinese Intelligent Systems Conference. CISC 2022. Lecture Notes in Electrical Engineering, vol 950. Springer, Singapore. https://doi.org/10.1007/978-981-19-6203-5_4
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