Cheats are a wonderful topic. I subdivide cheats (psychological maneuvers) into two categories, feints and invitations. This may be an oversimplification. For example, you might do both at once, threaten some intention than leaves an opening which...is not really there.
But for now I'll just heave it out there that I think there are two kinds of cheats, and if you think I have overlooked any, consider this an invitation to respond.
Once I defused a tense situation by placing my left hand on the beligerent chap's right shoulder and sinking a little, putting a little weight on him and letting me feel if he moved. (This was a feint. It was a feint because it was not an attack and not an invitation. I may have the categories drawn too tightly here.) I grinned and said something harmless like, hey how you doin'? Like I was patting him on the shoulder like a friend.
He didn't have the least idea what I was doing, and at the moment neither did I, but the whole thing so confounded him that he went into cursing and demanding I remove my hand, and I kept grinning like an idiot. His mind was on my hand and unaccountable behavior. In the end, nothing happened, because, I think, I took his mind out of its accustomed channels.
Not responding right, stepping off the other fellow's train of thought, refusing even to buy a ticket on his train of thought, sometimes has plenty to recommend it.