In a monogamous society, given that Darwin's observation about increased male variability holds, when partitioning by desirability, women in the top half will have access to males with desirability greater than their own, while women in the bottom half will only have access to males with desirability worse than their own.
Go figure.
(There's a lot of assumptions here but none of them particularly unrealistic).
Not sure if it was intended, but your second post comes across as Sexist and trying to reason this with bad science.
This is the reason for the unreasonable effectiveness of mathematics in natural sciences. However, here I'm not pushing any direct resemblance between model and any society anywhere. You're doing that, not me.
But again, that is to much oversimplyfication for my taste. Especially when mathematics are applied without any relevant domain knowledge.
Nowhere in my message I am applying mathematics to a domain. I'm just stating that such math exists. Applying, or not applying, them to any real society is left as an exercise for a reader.
We know that it is false though. Some people favor partners from a specific ethnic group, for example.
(one's trash is another's treasure etc. by whose ranking is one in the top or bottom half? hope you catch my drift.)