The Question and Answer section for Divergent is a great resource to ask questions, find answers, and discuss the novel.
In my opinion, this is simply an illustration based upon the equality of the sexes. Male and female serve the same role within the faction.... period.
Tris concludes that since Eric was ranked second in his initiate class behind Four, Four was Dauntless's first choice in leadership hence Eric was only offered his position that Four refused.This was bound to cause conflict between the two boys.
I'm not sure I understand your question here. Are you referring to Tris?