From an evolutionary perspective, what should one expect as differences?
The biggest factors differentiating men from women should be around risk.
Suppose that low-risk behavior in women tended to result in ~2.1 kids per woman (after disease, death). What would high risk behavior result in? Probably 1.1 kids per high-risk woman. Dead woman has no more kids...successful risk taken results in barely any positive reproductive benefit. Evolution has a STRONG pressure for women to risk-averse.
On the other hand, men have a completely different reproductive success curve. No risk in men is likely to result in 0 kids...while more risky behavior has some chance of resulting in death, and also zero kids, but some chance of resulting in lots of kids. And the upside for men is HUGE. While a woman's reproductive success is limited almost exclusively by disease and accident...a man's reproductive success is limited by the number of women he's making babies with...and perhaps endurance in some strange cases...It's probably impossible (IRL, not in math) for a man to do better than 100x the reproductive success of an average woman. But it's also impossible for a woman to (by actions chosen) do better than 2x the reproductive success of an average ancestral woman.
Of course, when I say this...I am speaking statistically. I would expect that ~90% of men would have a higher built-in risk-preference than the 90th %ile woman.
Question 1: How much does testosterone impact risk preference?
Question 2: what results from high risk-preference vs. low risk-preference?
1. Dangerous conflict.
3. Opinion different than ones peers
4. Pursuing difficult paths
5. Advanced Math/Hard sciences
6. Career paths without credentialing
7. Intense, single-minded focus (if you're focused in the wrong spot, you lose)