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The secretary problem is way overused, and very rarely has any application in practice. This is because it maximizes the probability of finding the best match, and NOT the expectation over the utility of the match your get. This is almost never what you want in practice; in practice, you don't care much between a match with utility 1000 and a match with utility 999, you just want to avoid a match with utility -1000.
In response to
The application of the secretary problem to real life dating
Does the secretary problem say anything about getting the second-best match? That seems to be the crux and this is the counter-argument I'm most swayed by.
You think it's mostly a matter of money?
It's definitely more than money. But it's all stuff that's easier with two humans than one.
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Here is an example of two humans: a mother and a grandmother. This works?
Yes, definitely. It's very much a question of someone's situation whether they have additional persons or they need to find some.