Spatial evolutionary game with bond dilution

Min Lin, Nan Li, Liang Tian and Da-Ning Shi

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 8, 1753-1758

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 qKeywords: Prisoner’s dilemma game; Snowdrift game; Bond dilution; Phase transition (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:8:p:1753-1758

DOI: 10.1016/j.physa.2009.12.029

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