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Conditional Risk Mappings
Andrzej Ruszczyński, Alexander Shapiro
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Source: Crossref
Published: Aug 1, 2006
DOI: 10.1287/moor.1060.0204
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We introduce an axiomatic definition of a conditional convex risk mapping and we derive its properties. In particular, we prove a representation theorem for conditional risk mappings in terms of conditional expectations. We also develop dynamic programming relations for multistage optimization problems involving conditional risk mappings.
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