[EM] Yet another weaker IIA criterion

[Greg Dennis]

To anyone's knowledge, has the following weaker IIA variant ever been
named/defined before?

If W is elected, then if a candidate is added that finishes behind W (lower
in the social ordering than W), the winner is still W.

The idea is a new candidate can't "drag the winner down," so to speak, but
can overtake them and cause neither to win. If it hasn't already been
named, I'm tempted to call this "Independence of Weaker Alternatives" but
open to other suggestions.

Greg
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