There are two types or modes of wanting: 1) to want, and 2) to want to want. Men generally embody the former type, women generally embody the latter type. The first type is direct wanting, as in "I want/value X, therefore I will seek to obtain X". The second type is indirect wanting, as in "I want you to want X, therefore I will seek to get you to value X".
Women (the second type, although the types aren't fixed to either gender but are more like a spectrum on which men and women tend toward one side or the other) usually act to get others to value/want something that is also desirable to the woman herself, they are more focused on other people and trying to figure out their value-structures so as to predict and control or at least manage them. I think this evolved due to women needing to secure a man for making children and protecting those children as they grow up, likewise the woman needs to secure a society or tribe to help her in child-rearing. The woman is physically and logically inferior to the man in a biological-psychological sense (men are physically stronger as well as mentally more logical-objective, as a general rule), therefore she was forced toward the second type of wanting/valuing out of necessity.
Men (the first type) usually act to get values directly. This type doesn't really care what other people want, and rightly so, unless what the other person wants conflicts with what the man himself wants. Men can form alliances on the basis of shared direct wants, and this is the basis of the male dimension of society. Likewise men will oppose one another and go to war over conflicting values/wants. I think this is also evolutionary, since men needed to deal with reality directly: build shelter, fire, hunt for food, fight off predators, and fight off other tribes/societies.
I think the direct type of valuing/wanting represents the strong form, and the indirect type represents the weak form. It is objectively better to go directly for your values and ignore or be indifferent to what other people want/value so long as those other people are not obstacles to your own values/wants. Caring about what others want de-powers your own valuing. This is probably why there is still no truly female philosophy.
“Be clever, Ariadne! ...
You have little ears; you have my ears:
Put a clever word in them! —
Must one not first hate oneself, in order to love oneself? ...
I am your labyrinth ...”. -N
“A man is not great if he is not small, and he is not small if he is not great. Concepts flirt with the loss of their significance in the oscillation between ambiguous states, and this is in part the function and purpose of concepts.” -Primer on Meaning