von Neummann's and related scaling laws in rock-paper-scissors-type games

P. P. Avelino, D. Bazeia, L. Losano, J. Menezes

Resumo
We introduce a family of rock-paper-scissors-type models with Z_N symmetry (N is the number of species), and we show that it has a very rich structure with many completely different phases. We study realizations that lead to the formation of domains, where individuals of one or more species coexist, separated by interfaces whose (average) dynamics is curvature driven. This type of behavior, which might be relevant for the development of biological complexity, leads to an interface network evolution and pattern formation similar to the ones of several other nonlinear systems in condensed matter and cosmology.

Physical Review E
Volume 86
setembro 2012

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