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The essential difference between Schultze and Ranked Pairs is that cycles are resolved based on strongest beat path versus the number of approvals or victory margin. Schultze is just as reasonable as Ranked Pairs for this, but I find it easier to justify to people that an option that trounces another option should have that reflected in the final ranking rather than that an option with a stronger beat path should have that reflected.

The essential difference between Schultze and what I like these days is that Schultze will try to resolve cycles, whereas I think it's better just to accept them and call it a tie. If you can't have ties, then I really like the earlier suggestion of rerunning the voting on just the ones in the Schwartz set.

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