I'm afraid that this post won't please many people, but I prefer to be sincere with my thoughts. In my opinion, the women gap has its real roots in the capitalist system. Who created it, but men? Capitalism is the spitting image of men's mentality. In the beginning of times, men probably used to go hunting and women tried to raise the family, men tried to defend the tribe against other tribes and/or animals, and women stayed at home (cave). That's why, nowadays, men are a bit aggressive and women a bit collaborative by nature.
The problem is that women didn't take part in the creation of the economical system. Economy rules the world, so it's impossible not to expect its effects on every detail of our lives. The only solution for women to adapt to that situation was to play men roles, i.e., to be competitive and try to get to the top, and that's the situation we have at the present moment. Women are trying to compete, but it's not in their nature to compete, but collaborate, so many of them stay behind, not for their intelligence, but for their way to see the world.
You have a good example of how to collaborate and succed in the Chinese society. Ask Chinese people, and they'll tell you that they never compete, they help each others. Probably, woman took part in the creation of that economical system.
Regards
Miguel Angel