%0 Report %A Rablen, Matthew D. %T Foundations of the Rank-Dependent Probability Weighting Function %D 2019 %8 2019 Oct %I Institute of Labor Economics (IZA) %C Bonn %7 IZA Discussion Paper %N 12701 %U https://www.iza.org/index.php/publications/dp12701 %X The psychological basis for rank-dependent probability weighting, and for an inverse-S probability weighting function (PWF) in particular, has often been questioned. I examine the existence and shape of the PWF in a model allowing for optimism/pessimism over probability distributions and for loss averse/gain loving stochastic reference dependence. I give commonly observed shapes of PWF a psychological interpretation. In particular, I establish a deep connection between two of the most established phenomena in decisionmaking: loss aversion and the inverse-S PWF: the former is a pre- condition for the latter. %K probability weighting %K rank dependent expected utility %K loss aversion %K reference dependence %K optimism %K pessimism