From coin tossing to rock-paper-scissors and beyond: a log-exp gap theorem for selecting a leader

Fuchs, Michael; Hwang, Hsien‐Kuei; Itoh, Yoshiaki

doi:10.1017/jpr.2016.96

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2018

2024

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Cited by 2 publications

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“…3 and Fig. 4 it gives a leader selection problem, which is for another aspect of the previously studied problem [6]. We carried out simulation studies for the coalescence model of rock-paper-scissors particles [12] for finite size fluctuation, where the total number of particles decreases at each step.…”

Section: Introductionmentioning

confidence: 99%

Coalescence Model of Rock-Paper-Scissors Particles

Itoh

2018

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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 is a point of contact between the kinetic theory of gases by Maxwell and Boltzmann ( collision model) and the coagulation theory by Smoluchowski ( coalescence model). A 2s+1 types extended rock-paper-scissors collision model naturally introduces a nonlinear integrable system. The time evolution of the 2s + 1 types extended rock-paper-scissors coalescence model is obtained from the logarithmic time change of the nonlinear integrable system. We also discuss the behavior of a discrete rock-paper-scissors coalescence model.

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Section: Introductionmentioning

confidence: 99%