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Well-informed agents can hedge more efficiently than poorly informed agents,even if they have access to the same set of traded securities.In a robust framework with semi-static trading opportunities,we study super-hedging prices obtained by agents with different filtrations.We find that informed agents compute super-hedging prices using only those probability measures that render the additional information inconsequential.The theory of filtration enlargement and the notion of semi-static completeness play an important role.