We develop a continuum of stochastic dominance rules for expected utility maximizers. The new rules encompass the traditional integer-degree stochastic dominance, while between adjacent integer degrees, formulate the consensus of individuals whose absolute risk aversion at the corresponding integer degree has a negative lower bound.

This research has been accepted by Management Science, which is an international top tier academic journal. Management Science serves a role in social science as Nature or Science in science.

Our findings can be applied to determine comparative statics in decision theory, provide a new approach to derive econometric methodology for empirical research, and establish a new framework for studying individuals＇ risk preferences in experimental studies.