Election type | Approval |
---|---|
Culture | Euclidean 2D |
Candidates | {100} |
Voters | {100} |
Instances | 2000 |
For each point generation model, 2000 election of size {100}x{100} were sampled | |
Parameters | More details in Visualization and Discussion sections. Point generation models: a) uniform square, b) asymmetric Gaussian Model with two centres, c) overlapping squares. Voters \& candidates types: 1.1) Fixed voters’ radii; zero candidate radii 1.2) Fixed voters’ ballot length; zero candidate radii 2.1) Randomly selected voters’ radii from [0,3]; zero candidate radii 2.2) Randomly selected voters’ ballot length from {1,…,100}; zero candidate radii 3) (Only for asymmetric model): Voters as above; candidate radii 1 for noncenter-going gaussian side and 1.5 for center-going gaussian side |
All of the studied models come from Euclidean 2D, but some of them are 2D-CVR (Voter Candidate Range), some 2D-CR (Candidate Range), and some 2D-VR (Voter Range) | |
Notes | More details in Visualization and Discussion sections. The authors plot histograms for the studied ABC rules (AV, CC, MAV, PAV, Phragmen, MES under name Rule X) and ways of generating elections. The numbers in parentheses over each column provide the average number of candidates approved by a single voter. |