 In an important class of alternative decision rules, the probabilities used in expected utility calculations are replaced by some other numbers (“decision weights”). This approach was proposed by William Fellner (1961). In most of these constructions, all probabilities are transformed by some transformation function r. Instead maximizing the standard expected utility  \[p(x) \cdot u(x)\]  the agent will then maximize  \[r(p(x)) \cdot u(x)\] 