Conditional Risk Mappings
Andrzej Ruszczynski (ruszrutcor.rutgers.edu)
Abstract: 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.
Keywords: Risk, Convex Analysis, Conjugate Duality, Stochastic Optimization, Dynamic Programming, Multi-stage Programming.
Category 1: Stochastic Programming
Category 2: Applications -- OR and Management Sciences (Finance and Economics )
Entry Submitted: 02/21/2004
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