# Table 1 Variables and parameters of the model and their meanings.

 α i cooperation index of agent i $${\hat{\alpha }}_{i}$$ average cooperation index of agent i’s neighbors F factor on agents’ decision (model parameter, [MP]) p coop  = F$${\hat{\alpha }}_{i}$$ probability of cooperation for reliable agents p accept probability of accepting a new link p cut  = 1 − p accept probability of cutting a link to a neighbor f ch fraction of cheater agents in the population (MP) $${\rho }_{D}^{ch}$$ probability of direct defection for cheater agents (MP) $${\rho }_{R}^{rel}$$ probability of purchasing reputation for reliable agents (MP)