Research map / Learning theory and algorithms / Submodular and game algorithms
Semi-random Impossibilities of Condorcet Criterion
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Allow coalitions of up to B voters | Any voting rule satisfying CC · Semi-random models satisfying Assumption; C&P, m≥4 | C&P satisfaction probability: 1- \Omega\left(\frac{B}{\sqrt n}\right) | Hurt |
| Allow coalitions of up to B voters | Any voting rule satisfying CC · Semi-random models satisfying Assumption; C&H, m≥4 | C&H satisfaction probability: 1- \Omega\left(\frac{B}{\sqrt n}\right) | Hurt |
| Allow coalitions of up to B voters | Any voting rule satisfying CC · Semi-random models satisfying Assumption; C&M, m≥3 | C&M satisfaction probability: 1- \Omega\left(\frac{B}{\sqrt n}\right) | Hurt |
| Allow coalitions of up to B voters | Any voting rule satisfying CC · Semi-random models satisfying Assumption; C&S, m≥3 | C&S satisfaction probability: 1- \Omega\left(\frac{B}{\sqrt n}\right) | Hurt |
| Increase group size B up to √n | Any voting rule; each of C&P, C&H, C&M, and C&S · Semi-random models satisfying Assumption | Violation probability: \Omega\left(\frac{B}{\sqrt n}\right) | Hurt |
| Use any voting rule rather than a specially selected rule | C&P with B=1; C&S with B≤√n · Semi-random models satisfying Assumption | Satisfaction probability | No clear effect |
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