  Recent research has identified the heterogeneity as crucial for the evolution
of cooperation in spatial population. However, the influence of heterogeneous
noise is still lack. Inspired by this interesting question, in this work, we
try to incorporate heterogeneous noise into the evaluation of utility, where
only a proportion of population possesses noise, whose range can also be tuned.
We find that increasing heterogeneous noise monotonously promotes cooperation
and even translates the full defection phase (of the homogeneous version) into
the complete cooperation phase. Moreover, the promotion effect of this
mechanism can be attributed to the leading role of cooperators who have the
heterogeneous noise. These type of cooperators can attract more agents
penetrating into the robust cooperator clusters, which is beyond the text of
traditional spatial reciprocity. We hope that our work may shed light on the
understanding of the cooperative behavior in the society.
