EN|RU 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 Abstract: 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 © Sobolev Institute of Mathematics, 2015