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

[Toby Pereira]

 Presumably ranking top means the highest possible score in the cardinal methods. Intuitively it seems that pretty much all of these methods should elect the approval winner. The Condorcet ones surely. I'm not sure what justification there would be for not doing so, so it sounds like the birth of a new criterion.
Toby
    On Wednesday, 7 December 2022 at 02:15:19 GMT, Forest Simmons <forest.simmons21 at gmail.com> wrote:  
 
 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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