There are a number of common problems out there, and there are ways the online dating industry can address them.
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The difficulty is that the decision must be made immediately.
The problem has an elegant solution, and the shortest rigorous proof known so far is provided by the odds algorithm (Bruss 2000).
But it’s not all candlelit dinners and walks on the beach.
Online dating certainly helps people find potential dates, but it doesn’t always help people find good relationships.
When you first start dating people, you don’t know, on average, how romantically well matched other people could be to you, and without that baseline you cannot ascertain if someone is an above average catch and someone you should settle down with.
This makes permanently partnering up with the first person you date a bit of a gamble: You should date a few people to get the lay of the land.
Each of the 10 candidates will come into your office individually for you to assess their qualifications for the role.
After you have interviewed each candidate you need to decide on the spot if you want to hire them for the job or move on to the next interview.
The question is about the optimal strategy (stopping rule) to maximize the probability of selecting the best applicant.
If the decision can be deferred to the end, this can be solved by the simple maximum selection algorithm of tracking the running maximum (and who achieved it), and selecting the overall maximum at the end.
But the problems you may be facing with online dating are common, and just require a few simple solutions so you can start having successful results.