Understanding Distance Measures Among Elections

N. Boehmer, P. Faliszewski, R. Niedermeier, S. Szufa, T. Was

Election type Ordinal
Culture Euclidean 3D-or-more
Candidates {10}
Voters {50}
Instances None
The number of samples is: (20 + 60 + 60) + (3 * 20 + 20) + 4 * 20 + (20 + 20) = 340
Parameters Uniform 3D ($[0,1]^3$); Uniform 3D Sphere ($(0, 0)$ $r=1$); Uniform 5D ($[0,1]^5$); Uniform 5D Sphere ($(0, 0)$ $r=1$); Uniform 10D ($[0,1]^10$); Uniform 20D ($[0,1]^20$)
Section 6. To get a feeling as to how much precision is lost due to various aggregate representations, in Table 1 we compare the number of ANECs and the numbers of equivalence classes of the positionwise, pairwise, and Bordawise metrics, for small elections; we computed the table using exhaustive search.