WWPD elements of big mapping class groups

We study mapping class groups of infinite type surfaces with isolated punctures and their actions on the loop graphs introduced by Bavard-Walker. classify all classes in these which are loxodromic a WWPD action corresponding graph. The property is weakening Bestvina-Fujiwara's weak proper discontinuity useful for constructing non-trivial quasimorphisms. use this classification to give sufficient criterion subgroups big have infinite-dimensional second bounded cohomology simple proofs that certain natural cohomology.