 One’s preferences count as transitive if they satisfy the following condition: for all x, y, and z, if one prefers x to y, and y to z, then one also prefers x to z. If one’s preferences over a set of options do not satisfy this condition, then these preferences count as intransitive. When one’s preferences over a set of options are intransitive, then one cannot rank the options from most preferred to least preferred. This holds even if one’s preferences over the options are complete, in the sense that all the options are ranked with respect to one another. Suppose, for example, that one prefers job A to job B, job B to job C, but job C to job A. In this case, one’s complete preferences over the set {job A, job B, job C} form a preference loop, which can be represented as follows: