Saying men and women have different biochemistries is one thing. Claiming that said biochemistry actually causes a given behavior is another thing. Women and men process information differently? Great. How does this lead to behaviorial differences?
I observe with interest the behaviour of my pet goats and sheep 
and amongst the notable differences between males and females, there is the reaction to a possible threat. If a sudden noise or movement happens in the nearby forest, the whole flock is alarmed and looks in that direction. Then, if nothing more happens, after a few seconds the (female) goats and ewes lose interest and continue to graze again (practical sense: if there is no danger, let’s graze). But the billygoats and rams (including the castrated males) stand still for 5 minutes or so, still intensely watching at nothing (and pretending they are mounting guard, believing they are protecting the flock…?)
But when they want to play (which often happens in spring time) they all have the same games (running around happily and pretending to hit each others’ horns). 
both men and women can and do play games. The kinds of games they like are culturally determined, not chemically determined.
Yes I certainly agree. If there are differences, it’s in the perceptions and feelings of the game?
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