Computational Science Technical Note CSTN-037

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Non-Monotonic Phase Transition Edges in the Spatial Prisoners' Dilemma

K. A. Hawick, H. A. James and C. J. Scogings

Archived April 2007

Abstract

Simulations of complex systems models provide a numerical laboratory for studying emergent spatial phenomena. We report on simulations of the 2-dimensional spatial prisoners' dilemma with both 4- and 8-neighbour playoffs. We identify non-monotonic dependence of the convergent population of defectors with the variation of defection temptation reward in the 8-neighbour system. We present some microscopic configuration analyses to explain this phase transitional effect.

Keywords: prisoner dilemma; game theory; agent population dynamics; simulation.

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSTN Notes.

BiBTeX reference:

@INPROCEEDINGS{CSTN-037,
  author = {K. A. Hawick and H. A. James and C. J. Scogings},
  title = {Non-Monotonic Phase Transition Edges in the Spatial Prisoners' Dilemma},
  booktitle = {Proc IASTED Int. Conf on Applied Simulation and Modelling (ASM 2007)},
  year = {2007},
  number = {581-095},
  pages = {213-218},
  address = {Palma de Mallorca, Spain},
  month = {29-31 August},
  publisher = {IASTED},
  timestamp = {2007.07.05}
}


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