Binary Probabilities Induced by Rankings

The present paper generates new necessary conditions that pertain to n >= 6 and shows that they are independent of previous necessary conditions. It then observes that the set of conditions on the p sub ij that are sufficient or {p sub ij } to be induced by rankings regardless of n must be infinite. As far as I am aware, identification of finite sets of necessary and sufficient conditions for each particular n >= 6 remains open.