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TimS comments on Interpersonal Entanglement - Less Wrong
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Was it an observational study or a controlled trial? If the former, then correlation doesn't obviously imply causation here. For example, the female's decision to chase could depend on the quality of the male.
The Gale-Shapley solution the the stable marriage problem shows that suitors get their best choice among stable pairings. It seems like a reasonable conclusion to draw that women who behave as suitors will get a "better" match than those who are passive.