I found an interesting talk called "Is there anything good about Men?" that includes potentially useful ways to frame questions about differences between men & women:
http://www.denisdutton.com/baumeister.htm
"Nature rolls the dice with men more than women."
and
"Culture has plenty of tradeoffs, in which it needs people to do dangerous or risky things, and so it offers big rewards to motivate people to take those risks. Most cultures have tended to use men for these high-risk, high-payoff slots much more than women."