Chimp females are promiscous, doing it with different males when in heat. Usually with the dominant ones, but the lower ranking have a chance, especially if they're eating meat, which females need more of at this time to produce babies (or fetuses - I don't want to upset the semantics crowd). One might approach such a male and extend her hand for a morsel, but he holds off offering any till she, well, offers a certain something in return. It really is the oldest profession.
Bonobo females and males are always promiscous, and resort to that rather than fighting.