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Friday Fun Thread for April 19, 2024

Be advised: this thread is not for serious in-depth discussion of weighty topics (we have a link for that), this thread is not for anything Culture War related. This thread is for Fun. You got jokes? Share 'em. You got silly questions? Ask 'em.

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I would like to point out that once you throw the win condition of "you have to pick the best" out of the window, and instead try to optimize the EV of a real-valued score, strategies should change.

Basically, you want to still skip the first r suitors to get some information about the underlying distribution. Ones you have an idea about the distribution (possibly Pareto or normal), you want to compare the utility of the current suitor to the expected value you would get from the remainder of the queue (and keep updating your estimate of the distribution, naturally).

This means that you should pick the second-to-last suitor if they are above average utility. (Assuming that all suitors are positive utility as compared to not picking anyone, which is not the case in dating.)

It might also be better not have a hard cut at any given r, and instead have some penalty to early picking which represents "I forfeit the possibility of making a more informed choice".

If your sequence starts as -2, 5, 6e23, then there is some case to be made to marry Mr/Ms Avagadro without considering the rest of the queue. Of course, if the distribution you are sampling is a bimodal distribution which is 2/3 a boring normal distribution around zero with sigma=4 and 1/3 (1d12)^(1d100) (using roleplaying dice syntax), then you would be better served to keep sampling.