Spatial evolutionary game with bond dilution

Min Lin, Nan Li*, Liang Tian, Da Ning Shi

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we study numerically the prisoner's dilemma game (PDG) and snowdrift game (SG) on a two-dimensional square lattice with both quenched and annealed bond dilution. For quenched bond dilution, the system undergoes a dynamical transition at the critical occupation probability q*, which is higher than the bond percolation transition point for a square lattice. In the critical region, the defined order parameter has a scaling form as Pe ∼ (q - q*)β for q < q* with the critical exponents β = 1.42 for PDG and β = 1.52 for SG, which differ from those with quenched site dilution. For annealed bond dilution, the system exhibits a distinct cooperative behavior. We find that the cooperation is much enhanced in the range of small payoff parameters on a lattice with slightly annealed bond dilution.

Original languageEnglish
Pages (from-to)1753-1758
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number8
DOIs
Publication statusPublished - 15 Apr 2010
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Condensed Matter Physics

User-Defined Keywords

  • Bond dilution
  • Phase transition
  • Prisoner's dilemma game
  • Snowdrift game

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