Research map / Learning theory and algorithms / Submodular and game algorithms
An Analysis of Approval-Based Committee Rules for 2D-Euclidean Elections
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Require each voter to approve a fixed number of nearest candidates (10-nearest) instead of using a fixed approval radius | Approval-based rules · 2D-Euclidean simulated elections | spatial distribution of selected candidates | Hurt |
| Use a fixed approval radius (0.7 or 1) rather than requiring a fixed number of approvals | Approval-based rules · 2D-Euclidean simulated elections | spatial distribution of selected candidates | Helped |
| Use radius-[0, 3] rather than [1, 100]-nearest approval radii | Approval-based rules · Overlapping squares model | selection of candidates near voters | Helped |
| Compare PAV with Phragmén’s Sequential rule | PAV and Phragmén’s Sequential rule · All simulated settings | spatial distribution of selected candidates | No clear effect |
| Use CC to select a committee | Approval Chamberlin–Courant (CC) · Simulated elections | coverage of candidate and voter views | Helped |
| Use MAV rather than a rule with less diverse outcomes | Minimax Approval Voting (MAV) · Uniform square model | coverage of candidate and voter views | Helped |
| Use AV for individual excellence under fixed-radius approval models | Multiwinner Approval Voting (AV) · Uniform square model | selection of central, similar candidates | Hurt |
| Use ordinal-like approval protocols (nearest-[1, 100] or radius-[0, 3]) rather than other approval protocols for AV | Multiwinner Approval Voting (AV) · Uniform square model | selection of central, similar candidates | Helped |
| Use the first phase of Rule X rather than Phragmén’s Sequential rule | Rule X (first phase) · Asymmetric Gaussians model | similarity to AV’s spatial distribution | Mixed |
| Give candidates in the smaller Gaussian radius 1 and candidates in the larger Gaussian radius 1.5 | PAV and Phragmén’s Sequential rule · Asymmetric Gaussians model, radius-{1, 1.5} | selection of candidates between Gaussian centers | Hurt |
| Swap the candidate radii to 1.5 for the larger Gaussian and 1 for the smaller Gaussian | PAV and Phragmén’s Sequential rule · Asymmetric Gaussians model, radius-{1.5, 1} | selection of candidates between Gaussian centers | Helped |
Closest papers by meaning
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