“Spoilers” Spoil Nothing

Summary: The concept of spoilers, as defined by Fairvote, is analyzed and demonstrated to be useless for deciding whether Instant Runoff or either of the clone-free, Condorcet methods of Beatpath or Ranked Pairs is a better method to decide elections that use ranked-choice ballots. The problem of finding all patterns of ballots that generate spoilers that are not merely clones is solved for the general case of 4 candidates, and for 4 candidates restricted to a spatial model in two dimensions.

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The best Condorcet-compatible election method: Ranked Pairs

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Benham, a Condorcet method, compared to Instant Runoff, has for 3 candidates strictly fewer opportunities for tactical voting