Promoting cooperation by reputation-driven group formation

In previous studies of the spatial public goods game, each player is able to establish a group. However, in real life, some players cannot successfully organize groups for various reasons. In this paper, we propose a mechanism of reputation-driven group formation, in which groups can only be organized by players whose reputation reaches or exceeds a threshold. We define a player's reputation as the frequency of cooperation in the last T time steps. We find that the highest cooperation level can be obtained when groups are only established by pure cooperators who always cooperate in the last T time steps. Effects of the memory length T on cooperation are also studied.