[EM] Borda vs a majority of the first choices

[Bart Ingles]

Donald E Davison wrote:
> [...]
> 
>      In other words, Approval Voting and Borda Count are not required to
> elect the candidate that may have a majority of the first choices.
> 
>      Does anyone dispute this statement?

In Approval voting, by definition any choice is a first choice (if
you're talking about actual votes).

If you mean the voter's true first preference, then most methods fail. 
For example, in Plurality, if you prefer the Green candidate but vote
Democrat to keep from wasting your vote, then your vote reflects
something other than your first choice.

In IRO, suppose your true preferences are A>B>C, but you actually vote
B>A>C because you know A can't defeat C in the runoff (but B can).  B
wins the runoff.  Does B have a majority of true first choice
preferences?

At least with Approval, all true first choice preferences will be
reflected in the vote.  There may be true second-choice preferences
included as well, but at least the first choices are not excluded.