On several occasions in private conversations, I have told friends that our political systems are so dysfunctional in putting appropriate people in power that we would gain if, let’s say, members of congress were selected by lot from the entire population. I have never been taken seriously and I think that it was interpreted as a kind of joke. It was not although it was not either a backing of lot system.
So I am now pleasantly shocked to discover that there is an organized line of thought of people that are arguing around that idea. There seems to be a lot historical precedents of lot used as a measure to balance the power of corruption, gangs and nepotism in perverting the fairness of ballots.
Here you have a page full or references for those interested in digging into the question.