Financial Engineering Seminar

March, 5, 2004(Fri), 3:00pm
3:00 PM - 3:50 PM(8th period),
Weil Hall 303

OPTIMIZATION OF CONVEX RISK FUNCTIONS

Prof. Alexander Shapiro

School of Industrial and Systems Engineering

Georgia Institute of Technology

ashapiro@isye.gatech.edu





Abstract:

We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we derive representations of risk functions in terms of conditional expectations. We also present duality theory and derive dynamic programming equations for multistage optimization problems involving risk functions. This talk is based on a joint work with Andrzej Ruszczynski.

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