Constant risk aversion means that adding the same constant to all outcomes of two distributions, or multiplaying all their outcomes by the same positive constant, will not change the preformence relation between them. In this paper we prove several representation theorems, where constant risk...

A key feature of the rank dependent model for decision making under risk is that the weighting of an outcome depends on its relative rank. This theory received numerous axiomatizations, however, all these sets of axioms need to make an explicit reference to the ranking of the outcomes. This...