We study a generalized family of stochastic orders, semiparametrized by a distortion function
H, namely H-distorted stochastic dominance, which may determine a continuum of
dominance relations from the first-to the second-order stochastic dominance (and beyond).
Such a family is especially suitable for representing a decision maker's preferences in terms
of risk aversion and may be used in those situations in which a strong order does not have
enough discriminative power, whilst a weaker one is poorly representative of some classes …