Abstract
From physical and ecological aspects, we reviewan interacting particle system which follows a rule of the Rock-Paper-Scissors (RPS) game. This rule symbolically represents a food chain in ecosystems. It also represents nonequilibrium systems which have a feedback mechanism.We describe the spatial pattern dynamics in lattice RPS system: the time dependence of each species is not fully understood, especially on two-dimensional lattice. Moreover, we modify and apply RPS rule to voter and biological systems. Computer simulation for both voter model and ecosystems exhibits counter-intuitive results in phase transition. Such results can be seen in many cyclic systems, and they may be related to the unpredictability in nonequilibrium systems.
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Tainaka, Ki. (2001). Physics and Ecology of Rock-Paper-Scissors Game. In: Marsland, T., Frank, I. (eds) Computers and Games. CG 2000. Lecture Notes in Computer Science, vol 2063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45579-5_25
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DOI: https://doi.org/10.1007/3-540-45579-5_25
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