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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 2, Pages 41–50
(Mi da645)
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This article is cited in 5 scientific papers (total in 5 papers)
Stability radius bounds for the lexicographic optimum of the vector Boolean problem with Savage's risk criteria
V. A. Emelichev, V. V. Korotkov Belarusian State University, Minsk, Belarus
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.
Received: 13.09.2010
Citation:
V. A. Emelichev, V. V. Korotkov, “Stability radius bounds for the lexicographic optimum of the vector Boolean problem with Savage's risk criteria”, Diskretn. Anal. Issled. Oper., 18:2 (2011), 41–50
Linking options:
https://www.mathnet.ru/eng/da645 https://www.mathnet.ru/eng/da/v18/i2/p41
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Abstract page: | 383 | Full-text PDF : | 75 | References: | 54 | First page: | 3 |
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