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Spatial evolutionary game with bond dilution

Author

Listed:
  • Lin, Min
  • Li, Nan
  • Tian, Liang
  • Shi, Da-Ning

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

Suggested Citation

  • Lin, Min & Li, Nan & Tian, Liang & Shi, Da-Ning, 2010. "Spatial evolutionary game with bond dilution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1753-1758.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:8:p:1753-1758
    DOI: 10.1016/j.physa.2009.12.029
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    Cited by:

    1. Baland, Jean-Marie & Bonjean, Isabelle & Guirkinger, Catherine & Ziparo, Roberta, 2016. "The economic consequences of mutual help in extended families," Journal of Development Economics, Elsevier, vol. 123(C), pages 38-56.
    2. Minna-Liina Ojala & Lauri Hooli, 2022. "Development Cooperation as a Knowledge Creation Process: Rhythmanalytical Approach to a Capacity-Building Project in Zanzibar," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 34(1), pages 367-386, February.
    3. Tanimoto, Jun, 2016. "Enhancement of cooperation in the spatial prisoner’s dilemma with a coherence-resonance effect through annealed randomness at a cooperator–defector boundary; comparison of two variant models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 714-724.

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