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
- Va = 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 Va, there exists an overall error EVa.
- For any voting event Va, there exists at least one jurisdiction J.
- For any jurisdiction J, there exists an error eJ.
- For any jurisdiction J, there exists at least one vote-counting method M.
- For any jurisdiction J, there exists n number of ballots b1, ..., bn.
- For any jurisdiction J, there exists an average time to tabulate an individual ballot tM1, ..., tMn.
- For any ballot b, there exists some number m of voting topics, T1, ..., Tm.
- For any ballot b, there exist vT1, ... vTm votes, each of which can be null (no vote).
- For any ballot b, there exists a corresponding method Mx
- 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).