Discovering Consistent Subelections

L. Janeczko, J. Lang, G. Lisowski, S. Szufa
AAMAS 2024
Abstract
None

Remarks: There is an arXiv version: https://arxiv.org/pdf/2407.18767

Experiments:

Election type Culture Candidates Voters Instances Parameters
Ordinal Euclidean 1D {10} {50} None Uniform distribution over [0,1]^d, where d is the dimension for 1D, 2D, and 3D. For “Circle” elections, points drawn uniformly at random from a disk with center in (0,0) and radius 1
Ordinal Euclidean 2D {10} {50} None Uniform distribution over [0,1]^d, where d is the dimension for 1D, 2D, and 3D. For “Circle” elections, points drawn uniformly at random from a disk with center in (0,0) and radius 1
Ordinal Euclidean 3D-or-more {10} {50} None Uniform distribution over [0,1]^d, where d is the dimension for 1D, 2D, and 3D. For “Circle” elections, points drawn uniformly at random from a disk with center in (0,0) and radius 1
Ordinal Group-Separable {10} {50} None None
Ordinal Impartial Culture {10} {50} None None
Ordinal Mallows {10} {50} None $\phi \in \{0, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5\}$ (The same as in “Putting the Compass on the Map of Elections”)
Ordinal PrefLib {10} {50} None None
Ordinal Real-Life (beyond PrefLib) {10} {50} None None
Ordinal Single-Crossing {10} {50} None None
Ordinal Single-Peaked (Conitzer/Random Peak) {10} {50} None None
Ordinal Single-Peaked (Walsh/Uniform) {10} {50} None None
Ordinal Urn Model {10} {50} None Drawn according to the Gamma distribution with the shape parameter k = 0.8 and the scale parameter $\theta = 1$. (The same as in “Putting the Compass on the Map of Elections”)