We continue the theory of evasion and prediction which was introduced by Blass and developed by Brendle, Shelah, and Laflamme. We prove that for arbitrary sufficiently different
f
,
g
∈
ω
ω
f,g\in ^{\omega }\omega
, it is consistent to have
e
g
>
e
f
{\mathfrak {e}}_{g}>{\mathfrak {e}}_{f}
, where
e
f
{\mathfrak {e}}_{f}
is the evasion number of the space
∏
n
>
ω
f
(
n
)
\prod _{n>\omega }f(n)
. For this we apply a variant of Shelah’s “creature forcing”.