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Violet comments on Unknown knowns: Why did you choose to be monogamous? - Less Wrong
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Actually the logistics is not so clear-cut.
Lets say Sarah has two partners Tom and Maria. Now Sarah has the wednesday afternoon free. The probablity that one of her partners has free time is higher than it would be in a monogamous arrangement.
The time needed is not necassary "everyone needed" but for "some suitable combination of people".
Tom and Maria, on the other hand, have to take into account not only their own availability, but also Sarah's and each other's when planning their activities.
Meanwhile, if both Tom and Maria are available on the Wednesday, Sarah has a dilemma, and regardless of whether they're both free, or who she ends up seeing, she will have to accomodate the other at a later date, at which point the entire process begins again.