Multicriteria two-person games with opposite interests
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1487-1502 Cet article a éte moissonné depuis la source Math-Net.Ru

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E. M. Kreines; N. M. Novikova; I. I. Pospelova. Multicriteria two-person games with opposite interests. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1487-1502. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a3/

[1] Blackwell D., “An analog of the minimax theorem for vector payoffs”, Pacific J. Math., 6 (1956), 1–8 ; Matrichnye igry, Fizmatgiz, M., 1961, 156–166 | MR | Zbl

[2] Jentzsch G., “Some thoughts on the theory of cooperative games”, Advances Game Theory. Ann. Math. Studies, 52 (1964), 407–442 | MR | Zbl

[3] Aumann R. J., Lecture on game theory, Stanford Univ., IMSSS, Stanford, 1976 | Zbl

[4] Germeier Yu. B., “Obrazovanie tselei v zadachakh s vektornym kriteriem”, Izv. AN SSSR. Tekhn. kibernetika, 1976, no. 4, 3–13 | Zbl

[5] Podinovskii V. V., “Printsip garantirovannogo rezultata dlya chastichnykh otnoshenii predpochteniya”, Zh. vychisl. matem. i matem. fiz., 19:6 (1979), 1436–1450 | MR

[6] Pospelova I. I., “Klassifikatsiya zadach vektornoi optimizatsii s neopredelennymi faktorami”, Zh. vychisl. matem. i matem. fiz., 40:6 (2000), 860–876 | MR | Zbl

[7] Nogin V. D., “Dvoistvennost v mnogotselevom programmirovanii”, Zh. vychisl. matem. i matem. fiz., 17:1 (1977), 254–258 | MR | Zbl

[8] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Nauka, M., 1982 | MR

[9] Mulen E., Teoriya igr s primerami iz matematicheskoi ekonomiki, Mir, M., 1985 | MR | Zbl

[10] Zhukovskiy V. I., Salukvadze M. E., The vector-valued maximin, Acad. Press, New York, 1994 | MR

[11] “Multiple criteria and game problems under uncertainty”, 4-th Internat. Workshop, Rus. Inst. Textile and Light Industry, M., 1996

[12] Vorobeichikova O. A., Novikova H. M., “Parametrizatsiya znacheniya vektornogo minimaksa so svyazannymi ogranicheniyami”, Zh. vychisl. matem. i matem. fiz., 37:12 (1997), 1467–1477 | MR | Zbl

[13] Germeier Yu. B., Vvedenie v teoriyu issledovaniya operatsii, Nauka, M., 1971 | MR

[14] Shapley L. S., “Equilibrium points in games with vector payoffs”, Naval Res. Logistics Quaterly, 6:1 (1959), 57–61 | DOI | MR

[15] Lotov A. V., Bushenkov B. A., Kamenev G. K., Chernykh O. L., Kompyuter i poisk kompromissa. Metod dostizhimykh tselei, Nauka, M., 1997

[16] Pospelova I. I., “Vektornyi minimaks s pozitsii raznykh storon”, Prikl. matem. i informatika, 5, Izd-vo MGU, M., 2000, 100–104

[17] Germeier Yu. B., Igry s neprotivopolozhnymi interesami, Nauka, M., 1976 | MR | Zbl

[18] Novikova N. M., Pospelova I. I., Semovskaya A. S., “Kratnyi vektornyi minimaks”, Zh. vychisl. matem. i matem. fiz., 40:10 (2000), 1451–1463 | MR | Zbl

[19] Morozov V. V., “Smeshannye strategii v igre s vektornymi vyigryshami”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 1978, no. 4, 44–49 | MR | Zbl

[20] Eroshov S. A., “Ob igrakh dvukh lits s polnoi informatsiei i vektornoi funktsiei vyigryshei”, Prikl. matem. i matem. obespechenie EVM, Izd-vo MGU, M., 1979, 99–105