Geodesic
Stability radius bounds in multicriteria Markowitz portfolio problem with venturesome investor criteria
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2015), pp. 13-19 
Vladimir Emelichev; Olga Karelkina. Stability radius bounds in multicriteria Markowitz portfolio problem with venturesome investor criteria. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2015), pp. 13-19. http://geodesic.mathdoc.fr/item/BASM_2015_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The lower and upper bounds on the stability radius are obtained in multicriteria Boolean Markowitz investment problem with criteria of extreme optimism (MAXMAX) about portfolio return in the case when portfolio and financial market states spaces are endowed with Hölder metric, and criteria space of economical efficiency of investment projects is endowed with Chebyshev metric.

[1] Emelichev V., Korotkov V., “On stability radius of the multicriteria variant of Markowitz's investment portfolio problem.”, Bul. Acad. Sciences of Moldova, Mathematics, 2011, no. 1(65), 83–94 | MR | Zbl

[2] Emelichev V., Korotkov V., “On stability of multicriteria investment Boolean problem with Wald's efficiency criteria”, Bul. Acad. Sciences of Moldova, Mathematics, 2014, no. 1(73), 3–13 | MR | Zbl

[3] Markowitz H. M., Portfolio selection: efficient diversification of investments, Willey, New York, 1991

[4] Emelichev V, Korotkov V., “Stability analysis of Pareto optimal portfolio of multicriteria investment maximin problem in the Hölder metric”, Bul. Acad. Sciences of Moldova, Mathematics, 2012, no. 3(70), 63–71 | MR | Zbl

[5] Emelichev V, Korotkov V., “Stability of a vector Boolean investment problem woth Wald's criteria”, Discrete Math. Appl., 22:4 (2012), 367–381 | MR | Zbl

[6] Miettinen K., Nonlinear multiobjective optimization, Kluwer Academic Publishers, Boston, 1999 | MR | Zbl

[7] Ehrgott M., Multicriteria optimization, Second edition, Springer, Berlin–Heidelberg, 2005 | MR | Zbl

[8] Emelichev V. A., Korotkov V. V., “Stability radius of a vector investment problem with Savage's minimax risk criteria”, Cybernetics and Systems Analysis, 48:3 (2012), 378–386 | MR | Zbl

[9] Emelichev V. A., Podkopaev D., “On a quantitative measure of stability for a vector problem in integer programming”, Computational Mathematics and Mathematical Physics, 38:11 (1998), 1727–1731 | MR | Zbl