What makes spatial prisioner's dilemma game sensitive to asynchronism?

We investigate aspects that control the Spatial Prisoner’s Dilemma game sensitivity to the synchrony rate of the model. Based on simulations done with the generalized proportional and the replicator dynamics transition rules, we conclude that the sensitivity of the game to the synchrony rate depends almost exclusively on the transition rule used to model the strategy update by the agents. We then identify the features of these transition rules that are responsible for the sensitivity of the game. The results show that the Spatial Prisoner’s Dilemma game becomes more and more sensitive for noise levels above a given noise threshold. Below this threshold, the game is robust to the noise level and its robustness even slightly grows, compared to the imitate the best strategy, if a small amount of noise is present in the strategy update process