 Stochastic Dominance For all acts \(f\) and \(g\): if, for any outcome \(x\), the probability according to \(P_f\) of obtaining an outcome that is weakly preferred to \(x\) is at least as great as the corresponding probability according to \(P_g\) (in other words: \(\sum_{\{y\in\mathcal{X}: y\succeq x\}} P_f(y)\) \(\geq\) \(\sum_{\{y\in\mathcal{X}: y\succeq x\}} P_g(y)\)), then \(P_f\succeq P_g\).