The social brain hypothesis predicts that species with relatively larg
er neocortices should exhibit more complex social strategies than thos
e with smaller neocortices. We test this pre diction using data on the
correlation between male rank and mating success for polygamous prima
tes. This correlation is negatively related to neocortex size, as woul
d be predicted if males of species with large neocortices are more eff
ective at exploiting social opportunities to undermine the dominant ma
le's power-based monopolisation of peri-ovulatory females than are tho
se with smaller neocortices. This effect is shown to be independent of
the influence of male cohort size.