 where \(w\) is a positive real-valued function on \(\mathcal{X}\). If \(w\) is constant, one recovers the EU functional. The incorporation of weights accommodates Allais preferences by allowing indifference curves to “fan out” from a single intersection located in the quadrant to the southwest of the probability triangle. These curves become steeper, and hence represent a greater degree of risk aversion, as one moves northwest, in the direction of increasingly preferred lotteries. A suitably placed intersection allows indifference curves to cross both \([P_1,P_2]\) from below and \([P_3,P_4]\) from above, as  required.[7]