# Morning math/Voting systems

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This project is an example of formulating a **mathematical model**. Read more about mathematical models

## Voting systems Model

There are three sections to this model: variables (our basic definitions), relationships (attempts to represent a more complex understanding of the components of our model), and the side-line (items that will complicate the model further, to be tackled later, as we go).

Overall questioning the "1 person, 1 vote" assumption in an effort to assess fairness and error in voting systems.

### Variables

- V
_{a}= a voting event. - E = overall error
- e = error
- T = a topic to be voted upon
- b = a single ballot
- v = a vote (a choice)
- J = jurisdiction (a geographic boundary)
- M = a vote counting method
- t = tabulation time

### Relationships

- For any voting event V
_{a}, there exists an overall error E_{Va}. - For any voting event V
_{a}, there exists at least one jurisdiction J. - For any jurisdiction J, there exists an error e
_{J}. - For any jurisdiction J, there exists at least one vote-counting method M.
- For any jurisdiction J, there exists n number of ballots b
_{1}, ..., b_{n}. - For any jurisdiction J, there exists an average time to tabulate an individual ballot t
_{M1}, ..., t_{Mn}. - For any ballot b, there exists some number m of voting topics, T
_{1}, ..., T_{m}. - For any ballot b, there exist v
_{T1}, ... v_{Tm}votes, each of which can be null (no vote). - For any ballot b, there exists a corresponding method M
_{x} - For any ballot b, there exists a ballot type y.

### Side-line

- Rank-choice? -- Other voting styles, multiple votes per voter
- Anecdotal secrete ballot
- Some voters may require assistance (potential introduction to error?)
- Vote-counting is functional
- What about predictions?
- Errors on basis of discernable intent of the registered voter.
- We are not concerned with human intermediaries (e.g. volunteers).