Summable PAD voting: Difference between revisions

* Number of ballots which "prefer" each candidate X, denoted P(X).

* For each pair of candidates X and Y, total of ballot fractions which count as preferring X "first" and which also prefer Y; denoted PP(X,Y). (See below for example).

 

Say that on my ballot I preferred X, Y, and Z; approved of A and B; marked "don't know" for C and D; and disapproved E and F. Say that 2/3 of XYZ pre-approved C, while a different 2/3 of them pre-disapproved D; so that I count as approving C and disapproving D. Thus, my ballot would add to the following tallies:

 

(Detailed formulas for how to remove ballots in all situations are easy to derive. We do not include all the formulas here to maintain the focus on the principles and not the math.)