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An Analysis of Approval-Based Committee Rules for 2D-Euclidean Elections

AAAI 2021 · Learning theory and algorithms › Submodular and game algorithms · approach: Committee voting rules · 24 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Require each voter to approve a fixed number of nearest candidates (10-nearest) instead of using a fixed approval radiusApproval-based rules · 2D-Euclidean simulated electionsspatial distribution of selected candidatesHurt
Use a fixed approval radius (0.7 or 1) rather than requiring a fixed number of approvalsApproval-based rules · 2D-Euclidean simulated electionsspatial distribution of selected candidatesHelped
Use radius-[0, 3] rather than [1, 100]-nearest approval radiiApproval-based rules · Overlapping squares modelselection of candidates near votersHelped
Compare PAV with Phragmén’s Sequential rulePAV and Phragmén’s Sequential rule · All simulated settingsspatial distribution of selected candidatesNo clear effect
Use CC to select a committeeApproval Chamberlin–Courant (CC) · Simulated electionscoverage of candidate and voter viewsHelped
Use MAV rather than a rule with less diverse outcomesMinimax Approval Voting (MAV) · Uniform square modelcoverage of candidate and voter viewsHelped
Use AV for individual excellence under fixed-radius approval modelsMultiwinner Approval Voting (AV) · Uniform square modelselection of central, similar candidatesHurt
Use ordinal-like approval protocols (nearest-[1, 100] or radius-[0, 3]) rather than other approval protocols for AVMultiwinner Approval Voting (AV) · Uniform square modelselection of central, similar candidatesHelped
Use the first phase of Rule X rather than Phragmén’s Sequential ruleRule X (first phase) · Asymmetric Gaussians modelsimilarity to AV’s spatial distributionMixed
Give candidates in the smaller Gaussian radius 1 and candidates in the larger Gaussian radius 1.5PAV and Phragmén’s Sequential rule · Asymmetric Gaussians model, radius-{1, 1.5}selection of candidates between Gaussian centersHurt
Swap the candidate radii to 1.5 for the larger Gaussian and 1 for the smaller GaussianPAV and Phragmén’s Sequential rule · Asymmetric Gaussians model, radius-{1.5, 1}selection of candidates between Gaussian centersHelped

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