Conditional Risk Mappings
Andrzej Ruszczynski () and
Alexander Shapiro ()
Risk and Insurance from EconWPA
We introduce an axiomatic definition of a conditional convex risk mapping. By employing the techniques of conjugate duality we derive properties of conditional risk mappings. 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.
Keywords: Risk; Convex Analysis; Conjugate Duality; Stochastic Optimization; Dynamic Programming; Multi-Stage Programming (search for similar items in EconPapers)
Date: 2004-04-12, Revised 2005-10-08
Note: Type of Document - pdf; pages: 21
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpri:0404002
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