> For the complete documentation index, see [llms.txt](https://d3lab-dao.gitbook.io/pqv/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://d3lab-dao.gitbook.io/pqv/solution-pqv/simulation/results.md).

# 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 ](https://632054869-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FiQ5WJUrQ6De8z8GO6PVJ%2Fuploads%2FipvDjgfwjufXiQo4L4Li%2Fgraph.png?alt=media\&token=b9a7a629-1141-4896-b7a3-cb4e7385d0ed)

### Experiment Condition

{% hint style="info" %}

* 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
  {% endhint %}

### 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

{% hint style="info" %}

* 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
  {% endhint %}

### Result

![](https://632054869-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FiQ5WJUrQ6De8z8GO6PVJ%2Fuploads%2F4JVo555Rp4O0bKbdafC7%2Fimage.png?alt=media\&token=535feb17-0d61-4c7a-bcc5-d8285866862b)

* 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.