Results

We conducted the simulation in 2 stages.

1. Change of similarity according to change of PQV probabilistic element

2. Changes in similarity according to changes in the number of participants and candidates

Change of similarity according to change of PQV probabilistic element

Similarities among voting methods as PQV's probability changes

Experiment Condition

• Probabilistic element is $\frac{x^{e}}{N}$
• Increase $e$ from 1 to 3 in scale of 0.5
• Fixed variable: the number of participants = 300

• Fixed variable: the number of candidates = 16

Result

• PQV and QV tend to become more similar as the probability of a vote being selected increases. This is because QV is equal to PQV with 100% adoption probability.

• However, PQV and equal voting shows low similarity. The similarity converges to 6.25(1/16)%.

• PQV and linear voting shows 50% of similarity.

Changes in similarity according to changes in the number of participants and candidates

Experiment Condition

• Fixed variable: probability element is $\frac{x^{2}}{N}$ ($e=2$, If the value of $e$ is too small, there is a possibility that too many votes may not be reflected)
• Max number of the participants = 300

• Max number of the candidates = 16

Result

• PQV and equal voting do not show similarities in most circumstances.

• The similarity between PQV and linear voting do not exceed 60%.

• However, PQV and QV show 80% or more similarity in most environments.