I read somewhere (forgotten the book title sorry, I'll try and get back to you on that!) that our patriarchal society's gender roles (and thus the games children play at a young age to educate them about these) differ for men and women in terms of how they relate to people: For men, competition is emphasised, meaning that independence and dominance is the prime goal, while for women, connection and bonding is the overarching ideal.

To this end, having stereotypes and games like girls playing with dolls while boys build things and play more combative games instills different behaviours in children, which fundamentally change how they relate to others. You can still see it reflected in stupid things like "Be a man", which is essentially a shaming shorthand for "assert independence and dominance, thus showing less vulnerability to those able to dominate you in a competitive social hierarchy".

This obviously also reflects on the way people relate to obedience; independence being a supposed virtue, obedience can be intepreted from this masculine framework as an attempt by someone else to dominate. Emphasising co-operation and connection, though, means a greater willingness to engage. These are obviously only broad trends, but they are noticeable.