LO2E-2:
If a majority of all the voters vote some particular alternative
A over some particular alternative B, then they should have
a way to ensure the defeat of B without anyone having to vote
A equal to or over an alternative that he/she likes more.
***
It's quite obvious that there's no way that Margins could meet
that, since it loses information about majorities when it
subtracts.
***
Approval guarantees that when a majority votes A over B,
B can't win, and preventing B from winning doesn't require
anyone to vote a less-liked alternative over a more-liked
one. Margins fails to be as good as Approval in that regard.
Mike