Both the expected-utility maximization and the hierarchy property are very important properties in stochastic dominance. For almost stochastic dominance, Leshno and Levy (2002) propose a definition and Tzeng et al. (2013) modified it to give another definition. This note provides more...

This note gives the conditions on preferences to guarantee the monotonicity of asset prices when the payoffs of the risky asset change in the sense of the Nth stochastic dominance and with an Nth degree increase in risk. Those conditions are expressed in terms of the sign of the successive...

This study establishes necessary conditions for Almost Stochastic Dominance criteria of various orders. These conditions take the form of restrictions on algebraic combinations of moments of the probability distributions in question. The relevant set of conditions depends on the relevant order...