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There's clearly a different choice process with both actors, so it's not surprising there are different outcomes, but it's clear this section needs work. The definition of Pessimal at the very least needs work. It's clear that a woman can get her preferred choice (say, she's his first and he's her first). This one example renders the statement, "Thus women will always prefer another match in any stable pairing over their match in a male-optimal pairing." clearly false. It may be that the only way it could deviate from a mutual-optimality it towards male-optimality, but that's not what is said. Also, there are some at least very confusing statements such as "Also consider an arbitrary stable pairing S, where M and W are not paired. Because G is male-optimal, M prefers W to his match in S." Male-optimality would reduce the chance that M perfers someone he is not matched with, and certainly not force it. The section should be rewritten using a simple 2 or three person ranking to make these claims explicit. It should be removed in the mean time. <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/98.208.58.216|98.208.58.216]] ([[User talk:98.208.58.216|talk]]) 03:15, 29 July 2010 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
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, 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-->
== See also additions ==
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