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Optimal stopping for dynamic risk measures with jumps and obstacle problems

Published 17 Apr 2014 in math.OC | (1404.4600v2)

Abstract: We study the optimal stopping problem for a monotonous dynamic risk measure induced by a BSDE with jumps in the Markovian case. We show that the value function is a viscosity solution of an obstacle problem for a partial integro-differential variational inequality, and we provide an uniqueness result for this obstacle problem.

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