It is well known that the minimal superhedging price of a contingent claim is too high for practical use. In a continuous-time model uncertainty framework, we consider a relaxed hedging criterion based on acceptable shortfall risks. Combining existing aggregation and convex dual representation theorems, we derive duality results for the minimal price on the set of upper semicontinuous discounted claims.

中文翻译：

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连续时间下的模糊避险

众所周知，或有债权的最低对冲价格对于实际使用而言过高。在连续时间模型不确定性框架中，我们考虑基于可接受的短缺风险的宽松对冲标准。结合现有的聚合和凸对偶表示定理，我们得出上半连续贴现索赔集上的最小价格的对偶结果。