Phase transitions for rock-scissors-paper game on different networks

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61 Citations (Scopus)

Abstract

The effect of phase transitions for rock-scissor-paper game on different host networks was analyzed using Monte Carlo simulations and dynamical mean-field approximations. The system exhibited two subsequent transitions, self-organizing patterns and global oscillation, if the transition was increased. It was found that the transition point depends on the dimension d of the original lattice. The results show that the value of clustering coefficient is irrelevant in the emergence of a global oscillating phase.

Original languageEnglish
Article number037102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number3 2
DOIs
Publication statusPublished - Sep 2004

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games
Phase Transition
rocks
Game
Clustering Coefficient
Mean-field Approximation
organizing
Self-organizing
transition points
Monte Carlo Simulation
Oscillation
oscillations
coefficients
approximation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Phase transitions for rock-scissors-paper game on different networks",
abstract = "The effect of phase transitions for rock-scissor-paper game on different host networks was analyzed using Monte Carlo simulations and dynamical mean-field approximations. The system exhibited two subsequent transitions, self-organizing patterns and global oscillation, if the transition was increased. It was found that the transition point depends on the dimension d of the original lattice. The results show that the value of clustering coefficient is irrelevant in the emergence of a global oscillating phase.",
author = "A. Szolnoki and G. Szab{\'o}",
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AB - The effect of phase transitions for rock-scissor-paper game on different host networks was analyzed using Monte Carlo simulations and dynamical mean-field approximations. The system exhibited two subsequent transitions, self-organizing patterns and global oscillation, if the transition was increased. It was found that the transition point depends on the dimension d of the original lattice. The results show that the value of clustering coefficient is irrelevant in the emergence of a global oscillating phase.

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