Research map / Learning theory and algorithms / Sample complexity
Dimensionality and Coordination in Voting: The Distortion of STV
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Bound STV distortion using the metric’s doubling dimension | STV · Doubling metric spaces | distortion: O(d log log m) | Helped |
| Apply the doubling-dimension analysis to low-dimensional Euclidean spaces | STV · Low-dimensional Euclidean spaces | distortion: O(log log m) | Helped |
| Analyze STV on the line | STV · Line | distortion: 15 | Helped |
| Refine the STV lower-bound construction according to candidate-set doubling dimension | STV · Candidate-induced metric | distortion lower bound: Ω(√d) | Mixed |
| Use exploration before exploitation rather than greedy support updates | Coordination dynamics · Metric voting instances | distortion: super-constant -> 11 | Helped |
| Use greedy elimination-style support updates | Voting coordination dynamics · Metric voting instances | distortion: super-constant | Hurt |
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