Talk:Summability criterion: Difference between revisions
→Why isn't IRV considered summable for electing the dog catcher?: new section
('''Note''': see also Talk:summability criterion (Wikipedia version). The "Summability criterion" and "Summability criterion (Wikipedia version)" articles were merged long ago.) |
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:After having looked at the page, I agree that both Nanson and Baldwin are 2nd-order summable. This has to do with a relation between the pairwise matrix and Borda scores (in the absence of equal-rank); I just didn't think of it before now. I'll make the change. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 18:47, 22 May 2020 (UTC)
== Why isn't IRV considered summable for electing the dog catcher? ==
Example using spreadsheets: Create a merge of precinct votes for a four choice election of 10 candidates with candidates as unique identifiers (A-J). Make precincts (ballot boxes) of a manageable number of votes, maybe a 1000.
Record the votes.
Get from the ballot box to the spreadsheet somehow. Convert candidate names to identifiers. Save the ballots for audit.
Sheet1: Enter votes in column A as 7 characters (A>B=D>C) for up to 1000 rows
Sheet2: enter formula in cell A1 =Unique(A1:A1000),and enter formula in B1:B1000 =countif(sheet1!a1:a1000,a1)
Send a copy of sheet2 to Central Counting. Can’t be more than all 1000 rows, right? Unlikely that every odd combination of preferences will occur in a meaningful election. But with 10 candidates x 4 choices x 2 operators (= or >) between each, how many is that? Take a reasonably limited US presidential election (say 40 candidates, pick your top 10). How many different voting combinations will that actually come out to in each ballot box? In total?
Central Counting imports/copies/pastes all precinct sheet2’s into their own spreadsheet sheet1. Make sheet2, putting =unique() formula in column A, and sumif() in column B for all the rows arriving from the precincts in sheet1. Copy columns A and B into a vote counter with enough rows to handle the actual number of voting combinations. For audit, compare what the precinct sent with what Central counting got. Audit all precincts were received.
Isn’t that summable?
[[User:RalphInOttawa|RalphInOttawa]] ([[User talk:RalphInOttawa|talk]]) 23:22, 20 December 2023 (UTC)
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