Loss aversion, risk aversion, and the shape of the probability weighting function

Loss aversion, risk aversion, and the probability weighting function (PWF) are three central concepts in explaining decision making under risk. I examine interlinkages between these concepts in a model of decision making that allows for loss averse/tolerant stochastic reference dependence and optimism/pessimism over probability distributions. I give a preference interpretation to commonly observed shapes of PWF and to risk aversion. In particular, I establish a connection between loss aversion and both risk aversion and the inverse-S PWF: loss aversion is a necessary condition to observe each of these phenomena. The results extend to distinct PWFs in the gain and loss domains, as under prospect theory.