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

K.A. Hawick, H.A. James, and C.J. Scogings (New Zealand)

Keywords

prisoner dilemma; game theory; agent population dynam ics; simulation.

Abstract

Simulations of complex systems models provide a numer ical laboratory for studying emergent spatial phenomena. We report on simulations of the 2-dimensional spatial pris oners’ dilemma with both 4and 8-neighbour playoffs. We identify non-monotonic dependence of the convergent pop ulation of defectors with the variation of defection tempta tion reward in the 8-neighbour system. We present some microscopic configuration analyses to explain this phase transitional effect.

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