Properties of Position Matrices and Their Elections

N. Boehmer, J.-Y. Cai, P. Faliszewski, A. Z. Fan, L. Janeczko, A. Kaczmarczyk, T. Wąs

Election type Ordinal
Culture Euclidean 1D
Candidates {4}
Voters {16}
480 elections of size 4x16
Instances 20
Exact quantities of 480 elections (Appendix A.3). Approximately 20 elections per culture. model #elections Impartial Culture 20 single-peaked (Conitzer) 20 single-peaked (Walsh) 20 single-peaked on a circle 20 single-crossing 20 1D-Euclidean (uniform interval) 20 2D-Euclidean (uniform interval) 20 3D-Euclidean (uniform interval) 20 5D-Euclidean (uniform interval) 20 10D-Euclidean (uniform interval) 20 20D-Euclidean (uniform interval) 20 2D-Euclidean (sphere) 20 3D-Euclidean (sphere) 20 5D-Euclidean (sphere) 20 group-separable (balanced) 20 group-separable (caterpillar) 20 normalized Mallows model 80 urn model 80
Parameters Uniform 1D {[0,1]}
Notes for each election of the dataset we computed its position matrix and all elections realizing this matrix See Appendix B.2 for more details