Short answer: idk.
Longer answer: this is a fundamental problem across many domains. I don't think anyone has solved it.
I think of a story of Bezos being told by his Amazon execs that customer support wait times were meeting X service levels. In the meeting room with his execs, Bezos dials up customer service, gets some wait time of >>>X and makes the point that service levels are not up to his expectations.
I don't think that story is a great analogy for running society but is interesting nonetheless.