[EM] Which methods reduce to Approval when no ballot ranks any candidate lower than equal first?

Forest Simmons forest.simmons21 at gmail.com
Tue Dec 6 18:14:11 PST 2022


Suppose that for some ballot B, the only candidates ranked on B are the
ones ranked Top or Equal Top. In that case we say that B has been voted
"approval style".

Suppose that every ballot in the entire ballot set is voted approval style.
Which of the following methods will elect the approval winner (the one
voted Top or Equal Top on the most ballots)?

Range/Score, Bucklin, Ranked Pairs, Copeland, Majority Judgment,
Kemeny-Young, STAR, Approval Sorted Margins, DMC, IRV, DAC, DSC, MMPO,
River, Schulze CSSD, Baldwin, Nanson, Black, MinMax(margins), SPE, Gross
Loser Elimination, BTR-IRV, Score Chain Climbing, List Based Banks, Benham?

I won't give away the answers until tomorrow ... so you can think about it.

Then, after some additional questions to explore, a new method ... a
natural outgrowth of our new understanding!

-Forest


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