In theory, if a small group of people can be trusted to pick a person among them who is at least slightly above average rationality of the group, you could add lots and lots of levels of voting for people who vote for people who vote for people who vote on the issues.
For a millennium, Venice had a multi-layer system that alternated voting for voters and drawing lots for voters.
But they were probably more interested choosing a consensus leader who would be fair than a capable leader.
Edit: maybe only half a millennium. For the first half there were simpler elections.
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