Coalescence model of rock-paper-scissors particles

Yoshiaki Itoh

Physica A: Statistical Mechanics and its Applications, 2024, vol. 648, issue C

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.

Keywords: Rock–paper–scissors game; Kinetic theory of gases; Coagulation theory; Lotka–Volterra system; Logarithmic time change; Discrete model (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:648:y:2024:i:c:s037843712400459x

DOI: 10.1016/j.physa.2024.129950

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