Unfortunately, I think the corollary is much more important. What this clearly shows is that on an extremely fundamental level, getting cheated or cooperating with people who act in bad faith is what creates the cheating. If you tolerate bad faith, you ask for more bad faith behavior.
If you believe in personal agency and personal responsibility and don't believe in magical thinking, then it shows on a very mathematical level that your own weakness, the ability for someone to take advantage of you without consequences, is what creates defection rather than cooperation.
The lesson is clear, that if you want a world you want to be a part of, then you must become powerful and choose to use that power for good.