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Coalescence model of rock-paper-scissors particles

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  • 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
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