Hypergamy, then, is ever present. The only thing that changes whether it is realized or not is the extent to which women are free to act on it. Hypergamy doesn’t necessarily guarantee an inequality in actual sexual encounters, but the more free that women are to act on it (and this is personal speculation) the more likely are there to be social norms and institutions favoring women, i.e. fault-free divorce, preferent…
Could you explain the leap from hypergamy to a female dominated society? If women seek out socially "superior" men, one would think that men would hold much of the power in society. Divorce and child custody laws aren't preferential by intent. They're simply archaic and/or very sticky. While I'm very much in favor of men's domestic rights, there are a lot of minefields when it comes to these issues which is I believe…
They don't because promiscuous women will continue to choose high status partners. More sex doesn't mean more sex for low status men.