alt Hacker NewsGale-Shapley, used in this service, has the property that one side ("proposing" side) is guaranteed their most advantageous stable match while the other side is guaranteed their worst possible stable match.
I've never heard this discussed or mentioned as a drawback because it's Nobel Prize winning and "stable" is a shorthand for "fair". Even though there's many unique stable matches that each offer participants different utilities even if individual participants don't have incentives to change their pairing.
In practice, the more powerful party seems to be the proposing side, e.g. hospitals are the "proposing side" when using Gale-Shapeley to match w/ med school students and get their ideal students.
I wonder if anyone who works on dating apps knows if men or women are the preferred side? And is there any research on stable matching that ensures equity (or ideally arbitrary distribution of utility) between the two groups in their stable matches?
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Given how women initiate most divorces, it's probably best to set it up so they are the proposing side.
But this isn't raw Gale-Shapley-- the participants aren't ranking all hundreds/thousands of others. In particular, the preference matrix is based on identical mutual compatibility scores, so there's a unique stable solution (not multiple stable ones!), and there's no "side" that benefits, since the solution is identical no matter who does the "proposing".
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Are there keywords to search for to read more? This is the first time I've heard about this! This is super interesting, what are a few well known other stable matches people deeper into this talk about?