Algorithms for worst-case design and applications to risk management / Berç Rustem, Melendres Howe.

Includes bibliographical references and index.

Print version record.

Contents; Preface; Chapter 1. Introduction to minimax; Chapter 2. A survey of continuous minimax algorithms; Chapter 3. Algorithms for computing saddle points; Chapter 4. A quasi-Newton algorithm for continuous minimax; Chapter 5. Numerical experiments with continuous minimax algorithms; Chapter 6. Minimax as a robust strategy for discrete rival scenarios; Chapter 7. Discrete minimax algorithm for nonlinear equality and inequality constrained models; Chapter 8. A continuous minimax strategy for options hedging; Chapter 9. Minimax and asset allocation problems.

Chapter 10. Asset/liability management under uncertaintyChapter 11. Robust currency management; Index.

Recognizing that robust decision making is vital in risk management, this book provides concepts and algorithms for computing the best decision in view of the worst-case scenario. The main tool used is minimax, which ensures robust policies with guaranteed optimal performance that will improve further if the worst case is not realized. The applications considered are drawn from finance, but the design and algorithms presented are equally applicable to problems of economic policy, engineering design, and other areas of decision making. Critically, worst-case design addresses not only Armageddon-

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