Festschrift Volume honoring Ward Edwards, scheduled for publication in 1998. The chapter was published in 1999 and should be cited as follows: Birnbaum (1999). The paradoxes of Allais, stochastic dominance, and decision weights. In J. C. Shanteau, B. A. Mellers, & D. Schum (Eds.), Decision Science and Technology: Reflections on the contributions of Ward Edwards. Boston, MA: Kluwer Academic Publ...