This actually seems potentially relevant--I think men and women may value status differently.

• According to the book "You Just Don't Understand: Women and Men in Conversation", for men, conversational subtext tends to be about status. For women, it tends to be more about the strength of the relationship. (Example: Men are supposedly reluctant to ask for directions because they don't want to appear submissive.)
• Computer games men like seem to be about defeating opponents and advancing levels. Women play Farmville, though.
• It seems likely that being high status in the EEA would've increased a man's reproductive success more than it would've increased a woman's. (Especially given polygyny, which is actually present in the majority of cultures studied: very interesting paper where I read this.)
• Men seem to do more high-variance things like start bands and companies. From what I can tell, men make up the majority of political candidates.