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> The greeks had two institutions we could use: ostracism and lottery

To expand on the former, if a majority of Athenians voted to hold an ostracism vote, two months later, the person with the most votes (potentially over a minimum) was banished from the city for 10 years [1].

One can imagine a gentler modern version. Every ballot must have an ostracism line. Every candidate on that ballot must appear on this line. If a simple majority of voters choose the same person, a second one-line election is held in 2 months. If a simple majority of voters, two months later, vote again to ostracize, the candidate is barred from appearing on that jurisdiction's ballots for 8 years.

So if a majority of New Yorkers say Richard Nixon is ostracized, he is simply unable to appear on New York ballots for 8 years. Given the ballot will contain all manner of candidates running for many different offices, this makes it sufficiently difficult to ostracism while providing an incentive against polarization.

[1] https://en.wikipedia.org/wiki/Ostracism



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