"Lottery, past a reasonable post," is highly underrated. The randomness is there to account for the uncertainty of the objective criteria chosen ("Is it the right criteria?" "Did we measure correctly?"). Work in an escape clause in case things go horribly wrong with the ultimate "choice".

I strongly believe that this is how you solve elections, admissions, and recruitment (or, at least, get closer to an ideal solution).

And also grant funding!

https://www.volkswagenstiftung.de/en/originality-and-quality...

Which I absolutely love, having wasted months of my life applying for 'regularly' chosen grants and having quasi-random outcomes, without a lottery.

It's hard to game random, is what I like about it.

I guess randomness reduces a little bit of the feelings of entitlement and the feeling of grandeur. “You were not selected because you were the best, but because of chance”. “It is not necessary that everyone should have to pick you for you to get selected.”