An Oddsmaker Ascending A Staircase

Although I pretty much understand the hows and whys of it, this Boing Boing post about nontransitive dice still blows my mind. Especially the fact that each of the four dice has a statistical advantage over the die to its right, which in turn has a statistical advantage over the die to its right, which in turn . . . and so on, endlessly. It makes me think of one of those M.C. Escher staircases, always seemingly ascending but never really getting anywhere.