Prospect theory and rank-dependent utility are nowadays the most prominent
descriptive models of decision making under risk. Both theories rely on the
notion that probabilities are transformed into decision weights. This pape
r proposes two particular hypotheses of decision weights which underweight
all probabilities less than unity. Interestingly, these two hypotheses lead
to special cases of a class of models which have been developed to accommo
date the certainty effect and boundary effects but have not been related to
transformed probabilities before. (C) 2000 Elsevier Science S.A. All right
s reserved.