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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2013 Number 2(20), Pages 115–122 (Mi pdm406)

Discrete Models for Real Processes

Markowitz investment Boolean problem in case of uncertainty, multicriteria and risk

V. A. Emelichev, R. P. Shatsov

Belarusian State University, Minsk, Belarus

Abstract: Lower and upper bounds are obtained for the stability radius of a Pareto optimal portfolio of multicriteria variant of Markowitz problem with Savage minimax risk criteria in the case of any Hölder metric $l_p$, $1\leq p\leq\infty$, in the portfolio space and Chebyshev metric in the risk and market state spaces.

Keywords: multicriteria investment problem, Pareto optimal portfolio, Savage risk criteria, stability radius of portfolio, Hölder metric.

UDC: 519.8



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