Grant, SimonOszoy, HaticPolak, Ben2022-12-020165-4896http://hdl.handle.net/1885/281494Machina and Schmeidler [Machina, M., Schmeidler, D., 1992. A more robust definition of subjective probability. Econometrica 60, 745–780] show that probabilistic sophistication can be obtained in a Savage setting without imposing expected utility by dropping Savage's axiom P2 (sure-thing principle) and strengthening his axiom P4 (weak comparative probability). Their stronger axiom, however, embodies a degree of separability analogous to P2. In this note, we obtain probabilistic sophistication using Savage's original axiom P4 and a weaker analog of Savage's P2application/pdfen-AU© 2007 Elsevier B.V.Cumulative dominanceProbabilistic sophisticationStochastic monotonicitySubjective probabilitySure-thing principle200810.1016/j.mathsocsci.2007.10.0022021-11-28