I'm going to return to the main topic of this thread -- mathematics -- for two reasons, one involving the general culture war, and then a more specific application to polygamy.
There's a theorem in Mathematics called "Hall's Marriage Theorem" which relates to finding a "stable" set of pairings between two sets. As mathematics tends to do, it makes all sorts of simplifying assumptions, such as only heterosexual, monogamous unions, where each member has a ranked list of preferred partners that never changes through time, etc... The reason I heard about this, is because this theorem -- or at least it's name -- is coming under attack in an Australia University (U of New South Wales) for being "offensive". If you want more details on that case, I heard about it here:
But the real reason I'm writing this is because of some of the details of the actual theorem. For that, you have to dig into the mathematics of the situation. I'll link to part one of a Numberphile video that does just that; the more rigorous math is in the part 2 video, which I trust you can click to if interested. Without going into too much detail, the pairing algorithm basically involves all of one side (men or women) simultaneously proposing to their top pick, then being accepted or rejected, and iterating down the list until everyone is paired. In the video example, they use women as the proposing side (because of course, current society is gynocentric), but we all know it doesn't usually work that way. Now here's the interesting bit: under these assumptions and using this algorithm, it's provable (see the second video) that the proposing class gets the best possible outcome for them, while the proposed-to class gets the least-desirable possible outcome (that still meets all the "stability" criteria). Since, in real life, men tend to be the proposers, and women the proposed-to, this
mathematically proves that monogamy favors men to the detriment of women, and therefore, reducing the monogamous restriction actually
must result in a better outcome for women. QED.
I know that basic point has been made before (e.g. in "The Great Omission"), but I've never seen it done as a mathematical proof (something which, I admit, tickles my systematizing male-brain).