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The spatial evolutionary games (multiagent models) can have many
different evolutionary stable states (Nash equilibria) whose
relative stability depends on the model parameters. Now several
simple six-species spatial predator-prey models are investigated
on a square lattice where the predators invade one of the
neighboring sites if it is occupied by their prey and the neutral
species exchange their sites with a probability X. These models
involve the possibility of the spontaneous formation of different
associations of species (strategies) with proper spatio-temporal
structures. The Monte Carlo simulations show a surprisingly rich
variety of stable spatial distributions of species and subsequent
phase transitions when tuning the model parameter X. The
competition between these associations affects their composition
as well as the domain growing processes. In some cases cyclic
dominance occurs between these associations and it yields very
complex spatio-temporal structures and supports the survival of
all the species.
References: [1] G. Szabo and G. A. Sznaider: Phys. Rev. E 69 (2004) 031911. [2] G. Szabo, q-bio.PE/0408005. |