Only in narrow circumstances and only to a point. Or at least that's my (limited) understanding of game theory.
FWIW, I don't advocate blind trust.
Perhaps you meant to say we should teach the reality that cheating exists and is bad; not to pretend it doesn't exist? Or that it's hopeless to be honest and trustworthy because some others may not be? Which leads to ... apathy or more cheating and less trust.