Scalar dynamic risk measures in continuous time are commonly represented as backward stochastic differential equations. There are two possible extensions for scalar backward stochastic differential equations for the set-valued framework: (1) backward stochastic differential inclusions; or (2) set-valued backward stochastic differential equations. In this work, the discrete-time setting is investigated with difference inclusions and difference equations in order to provide insights for such differential representations for set-valued dynamic risk measures.
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