Increases in risk and demand for a risky asset

•We prove that Central Dominance with m=1m=1 (CD1) is a particular case of Second order Stochastic Dominance.•We introduce a new class of dominance, named Relative Dominance RD.•RD is a strict subclass of CD1.•Strong Risk Dominance, Simple Dominance and Monotone Dominance are particular cases of Relative Dominance.

We first prove the noteworthy fact that Central Dominance with m=1m=1 (CD1), introduced by Gollier (1995), is a particular case of Second order Stochastic Dominance. We then introduce a new tractable class of dominance that we name Relative order and we prove that this class is a strict subclass of CD1. Finally, we show that some known classes of dominance are particular cases of our new class of dominance.