Before revision:  Besides providing a unifying perspective on the existing literature, this greater level of generality makes our results applicable to model spaces where a dominating probability is not available, which are becoming increasingly popular in the field of "robust finance". We establish a variety of new results , including structural results for surplus-invariant acceptance sets and powerful dual representations for surplus-invariant risk measures .
After revision:  Besides providing a unifying perspective on the existing literature, we establish a variety of new results , including structural results for surplus-invariant acceptance sets and powerful dual representations for surplus-invariant risk measures .