Corpus ID: 235790624

Impact of parity in rock-paper-scissors type models

@inproceedings{Avelino2021ImpactOP,
  title={Impact of parity in rock-paper-scissors type models},
  author={Pedro Avelino and B. F. de Oliveira and R. S. Trintin},
  year={2021}
}
P.P. Avelino,1, 2 B.F. de Oliveira,3 and R.S. Trintin3 1Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, PT4150-762 Porto, Portugal 2Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, PT4169-007 Porto, Portugal 3Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá, PR, Brazil 

Figures and Tables from this paper

References

SHOWING 1-10 OF 34 REFERENCES
Predominance of the weakest species in Lotka-Volterra and May-Leonard formulations of the rock-paper-scissors model.
TLDR
It is found that the relatively large oscillations at the initial stages of simulations with random initial conditions may result in a significant dependence of the probability of species survival on the lattice size. Expand
von Neummann's and related scaling laws in rock-paper-scissors-type games.
TLDR
A family of rock-paper-scissors-type models with Z(N) symmetry with very rich structure with many completely different phases leads to an interface network evolution and pattern formation similar to the ones of several other nonlinear systems in condensed matter and cosmology. Expand
Three- and four-state rock-paper-scissors games with diffusion.
TLDR
It is shown that spiral formation takes place only without a conservation law for the total density, and in general, fast diffusion can destroy species coexistence. Expand
Junctions and spiral patterns in generalized rock-paper-scissors models.
TLDR
It is shown that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. Expand
Press perturbation in lattice ecosystems: parity law and optimum strategy
  • Tainaka, Araki
  • Mathematics, Medicine
  • Journal of theoretical biology
  • 1999
TLDR
It is found that ropt takes a finite value, and it usually locates at a phase transition point, and the long-term response to applied perturbation can be significantly predicted by parity law, where the parity is defined by whether the system contains an even or odd number of species. Expand
Uneven rock-paper-scissors models: Patterns and coexistence
TLDR
The coexistence probability is investigated and it is shown that the surviving species depends on the level of unevenness of the model and the mobility of individuals, and the asymmetry in the selection probabilities leads to different spatial autocorrelation function and average relative species abundances. Expand
Hamming distance and mobility behavior in generalized rock-paper-scissors models
TLDR
The results on the Hamming distance indicate that it engenders universal behavior, independently of the number of species and the size of the square lattice, and on the mobility confirm the prediction that it may destroy diversity, if it is increased to higher and higher values. Expand
Parity law for population dynamics of N-species with cyclic advantage competitions
TLDR
Results on the parity law are obtained: for odd number N all the species can coexist following the biased rate and the counterintuition for the change of equilibrium densities coincides with intuition. Expand
Apex predator and the cyclic competition in a rock-paper-scissors game of three species.
TLDR
The results show that the apex predator engenders the tendency to spread uniformly in the lattice, contributing to destroy the spiral patterns, keeping biodiversity but diminishing the average size of the clusters of the species that compete cyclically. Expand
Cyclic dominance in evolutionary games: a review
TLDR
Recent advances on the rock–paper–scissors (RPS) and related evolutionary games are reviewed, focusing, in particular, on pattern formation, the impact of mobility and the spontaneous emergence of cyclic dominance. Expand
...
1
2
3
4
...