# Question Voting System

A question's voting system is the set of rules that determines how ballots are marked, cast and counted.

nVotes supports the following voting systems:

## Plurality at large¶

### How it works¶

- Ballot:
- Each voter can mark one or more options without order

- Tally:
- Each option obtains a number of points equal to the number of ballots in which they are marked.
- One or more winners are chosen from those options with more points.

### Example¶

Question: What option do you prefer? (choose 0 to 2 options, 1 winner)

```
Voters | Tally
------------------------------------------------------------------------------------------------------
Ballot 1: | Ballot 1: |
------------- | ------------- |
[X] Option A | Option A -> 1 points |
[ ] Option B | Option B -> 0 points |
[ ] Option C | Option C -> 0 points | Option A: 2 points |
|--> |---> Option B: 0 points |--> Winner: Option A (2 points)
Ballot 2: | Ballot 2: | Option C: 1 point |
------------- | ------------- |
[X] Option A | Option A -> 1 points |
[ ] Option B | Option B -> 0 points |
[X] Option C | Option C -> 1 points |
```

### Notes¶

This is the most basic and typical voting system and the simplest to understand. Recommended for:

- Yes/No/Abstain questions
- Simple single winner questions

## Nauru's Borda Count or Borda Dowdall (1/n)¶

### How it works¶

- Ballot:
- Each voter can choose in order one or more (number N) options

- Tally:
- The first option chosen in a ballot obtains 1 points, the next option chosen obtains 1/2 points, the next option chosen obtains 1/3 points, etc
- One or more winners are chosen from those options with more points.

### Example¶

Question: What option do you prefer? (choose 0 to 2 options, 1 winner)

```
Voters | Tally
------------------------------------------------------------------------------------------------------
Ballot 1: | Ballot 1: |
------------- | ------------- |
[1] Option A | Option A -> 1 points |
[ ] Option B | Option B -> 0 points |
[ ] Option C | Option C -> 0 points | Option A: 2 points |
|--> |---> Option B: 0 points |--> Winner: Option A (2 points)
Ballot 2: | Ballot 2: | Option C: 0.5 points |
------------- | ------------- |
[1] Option A | Option A -> 1 points |
[ ] Option B | Option B -> 0 points |
[2] Option C | Option C -> 0.5 points |
```

## Borda Count (traditional)¶

### How it works¶

- Ballot:
- Each voter can choose in order one or more (number N) options

- Tally:
- The first option chosen in a ballot obtains N points, the next option chosen obtains N-1 points, the next option chosen obtains N-2 points, etc
- One or more winners are chosen from those options with more points.

### Example¶

Question: What option do you prefer? (choose 0 to 2 options, 1 winner)

```
Voters | Tally
------------------------------------------------------------------------------------------------------
Ballot 1: | Ballot 1: |
------------- | ------------- |
[1] Option A | Option A -> 2 points |
[ ] Option B | Option B -> 0 points |
[ ] Option C | Option C -> 0 points | Option A: 4 points |
|--> |---> Option B: 0 points |--> Winner: Option A (4 points)
Ballot 2: | Ballot 2: | Option C: 1 point |
------------- | ------------- |
[1] Option A | Option A -> 2 points |
[ ] Option B | Option B -> 0 points |
[2] Option C | Option C -> 1 points |
```