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.
Didn't this result in the election of Enrico Dandolo, who directed the 4th crusade to sack Constantinople, one of the most self-destructive acts of Western Civilization?
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