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Dual Representation of Minimal Supersolutions of Convex BSDEs

We give a dual representation of minimal supersolutions of BSDEs with non-bounded, but integrable terminal conditions and under weak requirements on the generator which is allowed to depend on the value process of the equation. Conversely, we show that any dynamic risk measure satisfying such a dual representation stems from a BSDE. We also give a condition under which a supersolution of a BSDE is even a solution.

preprint2014arXivOpen access
Samuel DrapeauMichael KupperEmanuela Rosazza GianinLudovic Tangpi
math.PR
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Open access4 authors1 topic
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Samuel DrapeauMichael KupperEmanuela Rosazza GianinLudovic Tangpi

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