TY - JOUR
T1 - Spatial evolutionary game with bond dilution
AU - Lin, Min
AU - Li, Nan
AU - Tian, Liang
AU - Shi, Da Ning
N1 - Funding information (Section snippets):
This work was supported by the China Aeronautic Science Foundation under Grant No. 2009ZG52066. L.T. gratefully acknowledges the financial support from CX07B-033z and BCXJ07-11.
Publisher copyright:
© 2010 Elsevier B.V.
PY - 2010/4/15
Y1 - 2010/4/15
N2 - 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.
AB - 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.
KW - Bond dilution
KW - Phase transition
KW - Prisoner's dilemma game
KW - Snowdrift game
UR - http://www.scopus.com/inward/record.url?scp=74849132977&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2009.12.029
DO - 10.1016/j.physa.2009.12.029
M3 - Journal article
AN - SCOPUS:74849132977
SN - 0378-4371
VL - 389
SP - 1753
EP - 1758
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 8
ER -