| Election type | Approval |
|---|---|
| Culture | Euclidean 1D |
| Candidates | {150} |
| Voters | {200} |
| committee size k=25; p=100, modified Bernoulli distribution p_{eta}, see Subsection 5.3 | |
| Instances | 1000 |
| We ran 1000 simulations for each scenario. | |
| Parameters | We draw the individuals independently at random from beta distributions, scaled into [-1, 1]. We consider: Beta(1/2,1/2), Beta(1/2, 2), Beta(2, 2), Beta(2, 4). The voters’ preferences are constructed from their positions as follows. We fix the approval radius $\xi \in \{0.1, 0.2, 0.3, 0.4, 0.5\}$, and assume that a voter $v$ approves a candidate $c$ if and only if $|v - c| \leq \xi$. We set a threshold of 0.5 for the approval radius. Acceptance radius $\tau = 0.2$ and the parameters of the probability function $p\mu$ to: $\tau = 30$, $\delta = 120$. |
| We also checked several others sets of parameters (e.g. {$\tau = 5$, $\delta = 20$}, {$\tau = 10$, $\delta = 60$}), but we found that the key observations and regularities stay the same. | |
| Notes | Section 5: Degressive and Regressive Proportionality in the Euclidean Model. Results: table 1, figure 4, figure 5 |