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actually, the whole first piece on male optimality is non-sense. "Also note that, since woman W is man M's optimal partner, there exists some stable pairing S where man M is paired with woman W." No, the pairing is stable if and only if there exists no other man W would rather be paired with that would want to be paired with her, so a stable pairing of M and W might not exist. <small><span class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Dalhamir|Dalhamir]] ([[User talk:Dalhamir|talk]] • [[Special:Contributions/Dalhamir|contribs]]) 03:26, 29 July 2010 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
okay, figured out what the original poster probably meant. It can be mutual optimal, but there is an advantage to initiator. I'll write out the whole scenario and post it, loosing the needlessly inflammatory connotations to sexism.
== See also additions ==
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