This paper presents some new stochastic dominance (SD) criteria for ranking transformations on a random variable, which is the first time that this is done for transformations under the discrete framework. By using the expected utility theory, the authors first propose a sufficient condition for...

This paper develops some new stochastic dominance (SD) rules for ranking transformations on a random variable, which is the first time to study ranking approach for transformations on the discrete framework. By using the expected utility theory, the authors first present a sufficient condition...

This paper builds on a recent article in Management Science by Milne and Neave and is concerned with the duality relationship between the definition of a stochactic dominance ordering and the disturbance which added to the dominating random variable gives the dominated one. We show that such...

Stochastic independence has a complex status in probability theory. It is not part of the definition of a probability measure, but it is nonetheless an essential property for the mathematical development of this theory. Bayesian decision theorists such as Savage can be criticized for being...

This paper presents an axiomatic model of probabilistic choice under risk. In this model, when it comes to choosing one lottery over another, each alternative has a chance of being selected, unless one lottery stochastically dominates the other. An individual behaves as if he compares lotteries...

Preference reversals occur when different (but formally equivalent) elicitation methods reveal conflicting preferences over two alternatives. This paper shows that when people have fuzzy preferences i.e. when they choose in a probabilistic manner, their observed decisions can generate systematic...