Been meaning to talk about this for a while.

For those who haven't heard of it yet, it's a simple mathematical problem.

Here is the wiki article for it: http://en.wikipedia.org/wiki/Stable_marriage_problem

To summarize, if we have two sets of individuals Men and Women (all hetero) each with his own preference list (a one-to-many relationship matching him/her to a person in the other set). The stable marriage problem is the problem of finding a stable equilibrium state.

Suppose Abe Taman has his own list from #1 through #10. He is currently involved with his #3 (Cathy), but later he meets his #2 (Betty) and they show mutual interest. Abe and Betty form a new pair and Cathy is ditched. Cathy then waits for the next man to initiate a relationship.

That's the scenario. For additional details, RTFA.

Obviously, this is all very simplified scenario, and doesn't take into account any gender differences/stereotypes. e.g. men cheating for sex and nothing to do with wanting to form new relationship... whatever. It's just a mathematical problem, with idealized people and situation.

However, some observations that can be made, given this idealized situation:

  1. The traditional solution to the problem is Initiator Optimal. It favours the initiating sex (men). Mathematically, they'll get the best possible stable pairing from their list of preferences. In our earlier example, it could have been possible for Abe to have been paired with Amy (his #1 preference) earlier, but if Amy had someone higher than Abe on her own list, and he asked her out, then she'd ditch Abe. Abe-Amy would not be a stable pairing. Abe-Betty is a stable pairing, and it's the best he could get.

In contrast, the reviewers (women) get suboptimal pairings as a collective.

  1. The stable pairing solutions tend to lend some credence to the stereotype that women are more likely than men to feel dissatisfied about their partners when comparing them to other men, simply by the fact that they weren't the ones initiating, and it's more likely for them to have missed an opportunity in their preference list.

...

Just one of many possible conclusions: As per the common complaint, women may have more option/power over deciding whether they want to be the reviewer or the initiator; however, it tends to be optimal to be the Initiator anyway (if you can just work past shyness and shame).

There's more, but I'd like to hear your thoughts/discussions on the pros and cons of being the initiator or the reviewer, whether it could be positive/negative for a switch (women becoming the initiators and men becoming the reviewers), whether or not this gender paradigm should be done away with, or anything else related to the topic.