Research map / Learning theory and algorithms / Submodular and game algorithms
Don't Roll the Dice, Ask Twice: The Two-Query Distortion of Matching Problems and Beyond
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use two cardinal queries per agent, targeting their favorite item and a sufficiently representative assignment | One-Sided Matching · One-Sided Matching | distortion: O(\sqrt n) | Helped |
| Use two cardinal queries per agent with a sufficiently representative assignment | Ordinal-k-Max-on-Graphs · Ordinal-k-Max-on-Graphs | distortion: O(\sqrt{n}) | Helped |
| Use two queries based on a sufficiently representative set of alternatives | General social choice when m = Ω(n) · General social choice (m = Ω(n)) | distortion: O(\sqrt{m}) | Helped |
| Limit a deterministic mechanism to at most λ queries per agent | Ordinal-k-Max-on-Graphs · Ordinal-k-Max-on-Graphs | distortion lower bound: \Omega(n^{1/\lambda}) | Hurt |
| Limit a deterministic mechanism to a constant number λ of queries per agent | General social choice · General social choice | distortion lower bound: \Omega(m^{1/\lambda}) | Hurt |
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