Volume 18, No 2, 2011, P. 41-50

UDC 519.8
V. A. Emelichev, V. V. Korotkov
Stability radius bounds for the lexicographic optimum of the vector boolean problem with Savage’s risk criteria

We consider a lexicographic Boolean problem of building an investor's portfolio of assets. The goal is to minimize risks using Savage's “bottleneck” (the worst-case regret) criteria. We obtained lower and upper attainable bounds for the stability radius of the lexicographic optimum of the problem in the case with octahedral metric $l_1$ in the portfolios space and Chebyshev metric $l_\infty$ in the risk and financial market conditions space.
Bibliogr. 12.

Keywords: vector boolean problem, portfolio optimization, mimimax problem, lexicographic optimum, Savage’s risk criteria, perturbation matrix, stability radius.

Emelichev Vladimir Alekseevich 1
Korotkov Vladimir Vladimirovich 1

1. Belarusian State University,
4 Nezavisimosti ave., 220030 Minsk, Belarus
e-mail: emelichev@bsu.by, emelichev@tut.by, wladko@tut.by

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