Rawls & the Cake Game as Procedural Justice
“The intuitive idea is to design the social system so that the outcome is just whatever it happens to be, at least so long as it is within a certain range. The notion of pure procedural justice is best understood by a comparison with perfect and imperfect procedural justice. To illustrate the former, consider the simplest case of fair division. A number of men are to divide a cake: assuming that the fair division is an equal one, which procedure, if any, will give this outcome? Technicalities aside, the obvious solution is to have one man divide the cake and get the last piece, the others being allowed their pick before him. He will divide the cake equally, since in this way he assures for himself the largest share possible. This example illustrates the two characteristic features of perfect procedural justice. First, there is an independent criterion for what is a fair division, a criterion defined separately from and prior to the procedure which is to be followed. And second, it is possible to devise a procedure that is sure to give the desired outcome. Of course, certain assumptions are made here, such as that the man selected can divide the cake equally, wants as large a piece as he can get, and so on. But we can ignore these details. The essential thing is that there is an independent standard for deciding which outcome is just and a procedure guaranteed to lead to it. Pretty clearly, perfect procedural justice is rare, if not impossible, in cases of much practical interest.”
A Theory of Justice: Original Edition (Kindle Locations 1510-1520).