Is there anything in philosophy  (presumably ethics) that specifically explores what I’ve called the “cad problem”.

Simply put, how should an individual (or a distinct group) that focuses on self betterment and virtuous behaviour, deal with other individuals who do not share those same values, and whose behaviour is a potential threat to ones ability to act in an ideal manner.

For example: A pacifist’s interpretation of Christ’s “turn the other cheek” would imply that, when confronted with a mugger, one should act by cooperating with their demands, and even exceeding those demands (give the mugger your wallet then offer them your watch too).

The supposed benefit of this are both spiritual for the individual (the saint) and social (sets an example for the cad and bystanders to follow).

History would show that this is not necessarily an optimal strategy for dealing with opposition, and would tend to benefit the cad, while harming the “saint”.

I don’t imagine the Mongols would have been swayed by a warm and open retaliation of kindness.

So, I’m wondering how other thinkers have explored this problem of the individual interested in following a “noble path” in an imperfect world full of ignoble belligerents.