Difference between revisions of "Morning math/Voting systems"
Morning math/Voting systems (view source)
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==Voting systems Model== | ==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<sub>a</sub> = 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<sub>a</sub>, there exists an overall error E<sub>V<sub>a</sub></sub>. | |||
# For any voting event V<sub>a</sub>, there exists at least one jurisdiction J. | |||
# For any jurisdiction J, there exists an error e<sub>J</sub>. | |||
# For any jurisdiction J, there exists at least one vote-counting method M. | |||
# For any jurisdiction J, there exists n number of ballots b<sub>1</sub>, ..., b<sub>n</sub>. | |||
# For any jurisdiction J, there exists an average time to tabulate an individual ballot t<sub>M<sub>1</sub></sub>, ..., t<sub>M<sub>n</sub></sub>. | |||
# For any ballot b, there exists some number m of voting topics, T<sub>1</sub>, ..., T<sub>m</sub>. | |||
# For any ballot b, there exist v<sub>T<sub>1</sub></sub>, ... v<sub>T<sub>m</sub></sub> votes, each of which can be null (no vote). | |||
# For any ballot b, there exists a corresponding method M<sub>x</sub> | |||
# 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). | |||