Evolution Of Cooperation Among Interacting Individuals Through Molecular Dynamics

Evolutionary game theory, a successful combination of game theory and biology as a common mathematical framework, plays an important role in understanding the emergence of cooperation in the context of Darwinian evolution. It has been extended to the cooperation found in some phenomena in many different fields of natural and social sciences.Meanwhile, as a computer simulation method, Molecular Dynamics simulation has been applied to the simulation of physics and biology and is a useful complement to limited experiments, which could really simulate the variety and development of the things.Here, in this paper, using molecular dynamics simulation and evolutionary game theory, we incorporate the topological structure of individuals into the study of the behaviors of cooperation, by adopting the prisoner's dilemma and snowdrift game as metaphors of cooperation between unrelated individuals. The results show that the introduction of spacial structure enhances cooperation using the strategy of prisoner's dilemma while does not make much changes to the cooperation if the strategy of snowdrift game is used. It is also found that our model is a meta-phase between regular ring graph model and complex network model. And the "activity of players" T * we introduced makes our simulation much more closer to real world problems.