Weighted Average Proportional Voting (WAPV) and Proportional Impact Score Than Automatic Runoff Voting (PISTAR)

[well-programmed]

PISTAR (Proportional Impact Score Than Automatic Runoff Voting)

1. Voter Scoring:
   Scale: Voters score candidates on a scale from 0 to 99.
   X Option: Voters can mark candidates with an "X" if they don't know or don't have an opinion about a candidate. Alternatively, they can leave a candidate unscored, which will be automatically marked as "X" by election staff.
2. Multiple Winners (N Winners):
   The system elects N winners, where N is the predetermined number of winners for the election.
3. Process for Selecting Winners:
   Initial Round (Voter Scoring):
   All candidates are scored by voters, using the scale of 0–99, with the option of "X" or no score (which will be marked as "X" by staff).
   Automatic Runoff Process:
   The first winner is selected by conducting a runoff between the top two candidates (those with the highest average scores).
   Runoff Details. starting at 0 "votes".
   For each ballot:
   If a candidate is scored higher than the other, they get +1 "vote" in the runoff.
   Scores marked as X or blank are not counted in this step.
   The candidate with the most "votes" in this runoff is selected as the first winner.
   After the first winner is selected, that candidate is removed from the pool.
   Subsequent Winners (identical to above step):
   The next automatic runoff is conducted between the remaining candidates with the next two highest average scores.
   starting at 0 "votes".
   for each ballot:
   If a candidate is scored higher than the other, they get +1 "vote" in the runoff.
   The candidate with the most "votes" in each runoff wins, and is removed from the pool.
   This process continues until all N winners are selected.
4. Determining Parliamentary Power:
   Once all N winners are selected, the parliamentary power of each winner is calculated.
   The formula for calculating parliamentary power is:
   Parliamentary Power
   =
   Average Score of Winner
   /
   Total of Average Scores of All Winners

This ensures that each winner’s parliamentary power is proportional to their average score relative to the total average scores of all elected winners.
It represents the percentage of votes or support that each winner received compared to the others.

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Weighted Average Proportional Voting (WAPV)

How It Works:
Voters score each candidate in their electorate on a scale of 0 to 99, or x or nothing.

Determining Winners:
The system elects N winners, where N is the predetermined number of winners for the election.
The N candidates with the highest average scores in each electorate are elected.
Proportional Power in Parliament:

Each winning candidate's voting power in the house of parliament is proportional to their average score, calculated as:
Voting Power =
Candidate’s Average Score
/
Total Average Scores of All Winners in the Electorate
​

No rounding ensures precision (or perhaps rounding to most precise useful amount of decimal points for the entire house of parliament).

Thank you

[K. Shenefiel]

You have a nice description of how to add a automatic runoff to a multi-winner election. However, what your describing would be a type of Block Star, it is not a type of proportional representation. Your weighting step achieves a different sort of proportionality then what is referred to as proportional representation.