  In this Letter, we introduce an aspiration-induced reconnection mechanism
into the spatial public goods game. A player will reconnect to a randomly
chosen player if its payoff acquired from the group centered on the neighbor
does not exceed the aspiration level. We find that an intermediate aspiration
level can best promote cooperation. This optimal phenomenon can be explained by
a negative feedback effect, namely, a moderate level of reconnection induced by
the intermediate aspiration level induces can change the downfall of
cooperators, and then facilitate the fast spreading of cooperation. While
insufficient reconnection and excessive reconnection induced by low and high
aspiration levels respectively are not conductive to such an effect. Moreover,
we find that the intermediate aspiration level can lead to the heterogeneous
distribution of degree, which will be beneficial to the evolution of
cooperation.
