I think there are other alternatives that need to be considered. One of the key concepts is whether or not we are actually involved in evaluating our behavior.

I think there are other alternatives that need to be considered. One of the key concepts is whether or not we are actually involved in evaluating our behavior. If we don't pause to think about the concept of "cheating" but instead are just having "fun", then of course we'll have fun like everyone around us. If a rival is doing something, we get into an us vs them situation and may have to analyze the situation, leading us to examine our feelings about the rival, perhaps due to their cheating, and then having to consider the impact of our cheating on how we think of ourselves or others think of us. For this reason, I think the anonymity of a person wearing a white shirt may also be significant.