[EM] Election-Methods Digest, Vol 207, Issue 3

steve bosworth stevebosworth at hotmail.com
Tue Oct 5 11:33:53 PDT 2021


Today's Topics: Replacing Top Two primaries

From: Steve Bosworth
TO: Kevin Venzke

Kevin Venzke wants to replace Top Two Primaries.

Could not the objections to top two primaries be optimally satisfied by removing such primaries altogether, and instead electing the winner in the general election by using Majority Judgment (MJ)?  Regardless of the number of candidates, MJ guarantees that the winner has received the highest median grade from at least 50% plus 1 of all the ballots cast. As you know, MJ invites each voter to judge the suitability for office of at least one of the candidates as either Excellent (ideal), Very Good, Good, Acceptable, Poor, or Reject (entirely unsuitable). Voters may give the same grade to any number of candidates. Each candidate who is not explicitly graded is counted as a ‘Reject’ by that voter. As a result, all candidates have the same number of evaluations but a different set of grades awarded from all voters. The MJ winner is the one who receives an absolute majority of all the grades equal to, or higher than, the highest median grade given to any candidate. This median grade can be found as follows:

  1.  Place all the grades given to each candidate, high to low, left to right in a row, with the name of each candidate on the left of each row.

  2.  The median grade for each candidate is in the middle of each row. Specifically, the middle grade for an odd number of voters, or the grade on the right in the middle for an even number of voters.

  3.
The winner is the candidate with the highest median grade. If more than one candidate has the same highest median grade, remove the current median grade from each tied candidate and start again at step 1 with those tied candidates.
  4.  What do you think?
  5.  Steve Bosworth (stevebosworth at hotmail.com


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