 While RDU does not satisfy Independence, it does satisfy a weakening of this principle known as “Ordinal Independence” (Green &amp; Jullien 1988). This principle is presented as a constraint on the cumulative distribution functions (cdf) corresponding to various lotteries, which return, for each \(x_i\), the probability of obtaining an outcome that is no better than \(x_i\) (i.e., an outcome \(x_j\), with \(j\leq i\)). The cdf corresponding to \(P_f\) shall be denoted by \(F\). We then have